A baseball is thrown straight upward. Describe the direction and magnitude of the velocity, force of gravity, and the varying air resistance force as the ball rises. Explain whether the net force increases, decreases, or is unaffected by the air resistance force. Repeat for the part of the motion when the ball is at maximum height and the part of the motion when the ball is moving downward
Answers
The characteristics of the vertical throw and Newton's second law allows to find the results for the questions about the motion of the ball with air resistance are:
For the upward movement. The speed of the ball decreases with the height of the ball. The forces of gravity and friction go in the same direction. For the point of maximum height, the velocity is zero and the net force is only the force of gravity. The ball is downward movement. The speed increases as the height decreases. The friction force and gravity have the opposite direction, therefore the net force decreases until reaching zero, from this point the speed remains constant.
Kinematics analyzes the movement of bodies looking for relationships between the position, velocity and acceleration of bodies.
Newton's second law relates the net force to the mass and the acceleration of the body.
In this case there is a vertical launch where the ball is launched with an initial velocity and is subjected to an acceleration given by the acceleration of gravity with a vertical downward direction, therefore the speed of the ball must decrease with increasing height.
v² = v₀² - 2g y
Where v and v₀ are the current and initial velocities, respectively, g the acceleration of gravity and y the height of the body.
In the attached we can see a free body diagram of the ball, the interaction with the earth is constant and is directed towards the center of the earth, in a vertical direction. The friction force of the air is the opposition of the air to the movement of the ball and is directed opposite the direction of movement of the ball. In the case of the ascending ball, the friction force is directed downwards.
Write Newton's second law for upward motion
-W- fr = m a
-m g - fr = ma
Therefore, we see that the two forces go in the same direction and therefore the net force increases and the acceleration in the opposite direction of the speed also increases.
At the point of maximum height the speed of the ball is zero, therefore the friction forces of the air is also zero, at this point the acceleration is equal to the acceleration of gravity.
In the case of the ball lowered. Speed increases as the ball descends.
Newton's second law is.
-W + fr = ma
- m g + fr = ma
In this case we see that the forces go in the opposite direction, therefore the net force on the body decreases.
If the friction force with the air increases with the speed, the point where it is equal to the forces of gravity and the acceleration is zero, from this point the ball goes down with constant speed.
In conclusion with the characteristics of the vertical launch and Newton's second law we can find the results for the questions about the motion of the ball with air resistance are:
The ball is downward movement. The speed increases as the height decreases. The friction force and gravity have the opposite direction, therefore the net force decreases until reaching zero, from this point the speed remains constant.For the upward movement. The speed of the ball decreases with the height of the ball. The forces of gravity and friction go in the same direction. For the point of maximum height, the velocity is zero and the net force is only the force of gravity.
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Related Questions
the time-domain expressions for three line-to-neutral voltages at the terminals of a y-connected load are
Answers
The time-domain expressions for the three line-to-line voltages are νAB = 288\(\sqrt{3}\) cos (ωt - 105°) V, νBC = 288\(\sqrt{3}\) cos (ωt - 120°) V, and νCA = 288\(\sqrt{3}\) cos (ωt + 30°) V.
What is voltages?Voltage is an electrical potential energy difference between two points in an electric circuit. It is measured in volts (V). Voltage is used to push electric current through a circuit. It is the work done per unit charge to move the charge from one point to the other. Voltage is a measure of the potential for electrical energy to move between two points in a circuit.
The time-domain expressions for the three line-to-line voltages can be found by taking the difference between two of the line-to-neutral voltages.
νAB = νAN - νBN = 288 cos (ωt - 45°) - 288 cos (ωt - 165°)
= 576 cos (ωt - 105°) sin (30°)
= 288\(\sqrt{3}\) cos (ωt - 105°) V
νBC = νBN - νCN = 288 cos (ωt - 165°) - 288 cos (ωt + 75°)
= 576 cos (ωt - 120°) sin (30°)
= 288\(\sqrt{3}\) cos (ωt - 120°) V
νCA = νCN - νAN = 288 cos (ωt + 75°) - 288 cos (ωt - 45°)
= 576 cos (ωt + 30°) sin (30°)
= 288√3 cos (ωt + 30°) V
Therefore, the time-domain expressions for the three line-to-line voltages are νAB = 288\(\sqrt{3}\) cos (ωt - 105°) V, νBC = 288\(\sqrt{3}\) cos (ωt - 120°) V, and νCA = 288\(\sqrt{3}\) cos (ωt + 30°) V.
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Complete Question:
The time-domain expressions for three line-to neutral voltages at the terminals of a Y-connected load are νAN = 288 cos (ωt - 45°) V, νBN = 288 cos (ωt - 165°) V, νCN = 288 cos (ωt + 75°) V. What are the time-domain expressions for the three line-to-line voltages νAB, νBC, and νCA?
What happens when cooler downdrafts inside a supercell move across the edge of an upward moving mesocyclone?
A. A supercell
B. A me so cyclone
C. A tornado
D. A hurricane
Answers
29.If Sally is attempting to develop muscular endurance in her legs, the mostbeneficial range of repetitions she should perform in her three sets of legextensions is_____________.
A.4-8 repetitions
B.6-15 repetitions
C.10-15 repetitions
D.12-20 repetitions
Answers
The most beneficial range of repetitions Sally should perform in her three sets of leg extensions if she is attempting to develop muscular endurance in her legs is 12-20 repetitions. Thus, the correct option is D.
What is muscular endurance?Muscular endurance is the ability of the muscles to perform continuously without being fatigued. It helps you maintain a specific body posture or position over an extended period or perform repeated movements over time. Muscular endurance is an essential component of fitness and an essential aspect of most sports.
The goal of training to develop muscular endurance is to condition the muscles to perform repeated contractions over an extended period. Muscular endurance is an essential aspect of any resistance training program. To develop muscular endurance, Sally should perform high repetitions of an exercise with lighter weight loads.
12-20 repetitions in each set are generally used to develop muscular endurance for most exercises, as this range can be accomplished with a light enough weight to avoid muscle fatigue while still providing the necessary stimulation to enhance endurance.
Therefore, the correct option is D.
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The student came up with a model that shows a loop of wire being rotated by some external force between two strong permanent magnets. this causes the charges in the loop to flow. What did the student make a model of?
a. a motor
b. a generator
c. both a motor and a generator
d. neither a motor nor a generator
Answers
The student came up with a model that shows a loop of wire being rotated by some external force between two strong permanent magnets. this causes the charges in the loop to flow. The student make a model of c. both a motor and a generator
The student made a model of a generator. A generator is a device that transforms mechanical energy into electrical energy. When a coil of wire rotates in a magnetic field, the changing magnetic field creates a current in the wire, which produces an electrical current. Because of the process of electromagnetic induction, this can happen. A motor, on the other hand, converts electrical energy into mechanical energy.
The electromagnetic force that is generated when a current is passed through a wire is used to create rotational motion in a motor. In the case of the student's model, a loop of wire is rotated by some external force between two strong permanent magnets. This causes the charges in the loop to flow. This process is a clear example of the principles of electromagnetic induction, which are essential to the operation of generators. Hence, the student has created a model of a generator. Therefore, option B is the correct answer.
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Increasing the resistance (R) will decrease the E (electric field) but increasing the L (length) will decrease it more significantly. why?
Answers
The electric field (E) is directly proportional to the voltage (V) divided by the distance (d) between the two points.
Therefore, as the resistance (R) in the circuit increases, the voltage (V) decreases
The electric field (E) is directly proportional to the voltage (V) divided by the distance (d) between the two points. Therefore, as the resistance (R) in the circuit increases, the voltage (V) decreases, resulting in a decrease in the electric field (E). However, when the length (L) of the circuit increases, the distance (d) between the two points also increases, resulting in a greater decrease in the electric field (E) compared to the decrease caused by an increase in resistance (R). This is because the electric field (E) is inversely proportional to the distance (d), meaning that a greater distance (d) results in a smaller electric field (E). Therefore, increasing the length (L) of the circuit has a more significant effect on decreasing the electric field (E) compared to increasing the resistance (R).
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Baring pneumothorax, this pressure is always lower than atmospheric pressure (that is, negative pressure) is called
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Baring pneumothorax, this pressure is always lower than atmospheric pressure (that is, negative pressure) is called intrapleural pressure.
Intrapleural pressure refers to the pressure within the pleural cavity, which is the space between the lungs and the chest wall. Under normal conditions, the intrapleural pressure is maintained at a level lower than atmospheric pressure. This negative pressure is crucial for maintaining lung inflation and facilitating the process of breathing.
The negative intrapleural pressure is generated by the opposing forces acting on the lungs and chest wall. The elastic recoil of the lungs tends to collapse them inward, while the elastic recoil of the chest wall tends to expand it outward. These opposing forces create a negative pressure in the pleural cavity, which keeps the lungs expanded and allows for efficient gas exchange during respiration.
The negative intrapleural pressure is essential for maintaining the integrity of the lungs and promoting their optimal function. However, in the case of pneumothorax, air enters the pleural cavity, equalizing the pressure with atmospheric pressure and leading to a loss of the negative pressure. This can result in lung collapse and difficulty in breathing.
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in the electrical resistor analogy for heat transfer, what are the heat transfer equivalents of current and voltage?
Answers
The heat flow has an analogy in the flow of electricity.
what is ohm's law?
The strength of a direct current is inversely related to the resistance of the circuit and directly proportional to the potential difference.
According to Ohm's law, the electrical resistance (R) divided by the voltage potential (E1-E2) equals the current (I) flowing through a wire Re.
I = E₁-E/Re
Since the potential difference and electrical current are analogous to the temperature difference and heat flux in conduction, respectively, the rate of heat conduction through the wall can be expressed as
Q = T₁-T₂/ L/кA = T₁₋T/ R
Where the conductive thermal resistance to heat flow provided by the wall is represented by R = L/кA.
Similar to Ohm's law for electrical circuits, Fourier's law of heat conduction governs heat transfer.
Within the analogy:
The electrical current (I) and heat flow (Q) are relatedthe ratio of electrical resistance to thermal resistancevoltage to temperature (T) in electrical terms (V)the relationship between thermal and electrical conductivityHeat transfer to capacitanceTherefore, the heat flow has an analogy in the flow of electricity.
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the relationship between force and acceleration verification of Newton second law of motion
Answers
Answer:
below
Explanation:
According to Newtons Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.
If an astronaut in space pushes off the satellite she is working on, what will happen to her if there are no other acting external forces?
Answers
According to Newton's third law of motion, when a body apply force to an object then the object will exert equal and opposite force to the body.
Therefore, if an astronaut pushes the satellite then the satellite will apply equal force to astronaut but in the opposite direction. As there is not any other external force acting on the astronaut she will continue to move with the constant speed in the same direction forever.
The process of charging a conductor by bringing it near another charged object and then grounding the conductor is called
a) Charging by contact
b) Charging by polarization
c) Induction
d) Neutralization
Answers
The process of charging a conductor by bringing it near another charged object and then grounding the conductor is called Induction. The correct option is C.
The process described, in which a conductor is charged by bringing it near another charged object and then grounding the conductor, is known as induction. Induction involves the redistribution of charges within the conductor without direct contact between the two objects.
Here's how the process works: When a charged object is brought close to the conductor, the charges in the conductor are rearranged.
This occurs due to the electric field of the charged object influencing the distribution of charges within the conductor. However, the conductor itself remains electrically neutral overall.
If the conductor is then grounded, allowing it to make contact with the Earth or a large reservoir of charge, any excess charges in the conductor are neutralized or redistributed, resulting in the conductor becoming charged with the opposite polarity to that of the inducing object.
Therefore, the correct term for this process is c, induction.
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The gas law for an ideal at absolute temperature (in kelvins), pressure Pin atmospheres)and volume Vinters PV = ART, Where is the number of males of the - 0.0671 gal constant. Suppose that, at a certain instant, Postm and is increasing at a rate of 0.11 atm/min and verzand it decreasing at a rate of 0.27 min. Find the rate of change of with resped To time (in/min) at that instantin = 10 mo [Round your answer to four decimal places) K/min mit A
Answers
The rate οf change οf temperature with respect tο time is apprοximately -0.4223 K/min.
How to find the rate οf change οf temperature ?Tο find the rate οf change οf temperature (T) with respect tο time (t) at a certain instant, we can use the ideal gas law equatiοn PV = nRT and differentiate it with respect tο time:
PV = nRT
Taking the derivative with respect tο time:
P(dV/dt) + V(dP/dt) = nR(dT/dt)
Since we are interested in finding dT/dt, we can rearrange the equatiοn:
(dT/dt) = (P(dV/dt) + V(dP/dt)) / (nR)
Substituting the given values:
P = 7.0 atm
dV/dt = -0.17 L/min (negative sign indicates a decrease in vοlume)
dP/dt = 0.11 atm/min
n = 10 mοl
R = 0.0621 L·atm/(mοl·K)
(dT/dt) = (7.0 atm * (-0.17 L/min) + 12 L * 0.11 atm/min) / (10 mοl * 0.0621 L·atm/(mοl·K))
Calculating the rate οf change οf temperature:
(dT/dt) ≈ -0.4223 K/min
Therefοre, at that instant, the rate οf change οf temperature with respect tο time is apprοximately -0.4223 K/min.
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A galaxy with thin spiral arms and a small spherical central bulge would be a type:_____.
Answers
Answer:
SBa.
Explanation:
SBa galaxies have the smoothest spiral arms and the largest central bulges
Which of the following is a reason that the interior of the Earth is HOT?
there will be an image below but if you dont already know, dont answer.
Answers
The option that is a reason that the interior of the Earth is hot is option C: Leftover heat from formation.
Which of the following is a reason that the interior of the Earth is hot?The heat from when the planet formed and the heat from radioactive element decay are the two main causes of the extremely heated interior of Earth.
Note that the Earth's interior is warm because the accretion process, which created Earth, produced a lot of heat. Through the course of geologic time, radioactive decay of unstable isotopes has supplied more heat (heat is a byproduct of the decay process). Only the outer core is heated enough to be above the melting point for material of that composition under that level of pressure, making molten rock or magma extremely uncommon in the interior of the earth.
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The speed of an object undergoing constant acceleration increases from 8.0 meters per second to 16.0 meter per second in 10 seconds. How far does the object travel during the 10 seconds?
Answers
The distance traveled by object is 120 m in given time 10 seconds.
What is kinematic equation?If other information is known, a set of four equations called the kinematic equations can be used to predict unknown information about an object's motion.
The equations can be applied to any motion that can be classified as either a constant velocity motion (with an acceleration of 0 m/s/s) or a constant acceleration motion. They are never permitted to be used over any time frame in which the acceleration is changing.
Four variables are present in each of the kinematic equations. The fquations offer a useful method of predicting details about an object's motion.
The kinematic equation for distance is,
\(\boxed{\mathrm{ d = (v +v_0) \dfrac{t}{2} }}\)
Where,
\(\mathrm{V_0}\) - initial speed = 8 m/s
V - final speed = 16 m/s
t - time = 10 s
Put the values in formula,
\({\mathbf{ {d = (16+9) \dfrac{10}{2} }}\)
\(\mathbf{d=120m}\)
Thus, The distance traveled by object is 120 m in given time 10 seconds.
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A sailboat runs before the wind with a constant speed of 3.2m/s2 in a direction 42 degree north of west. How far (a) west and (b) north has the sailboat traveled in 25min?
Answers
Given:
Speed = 3.2 m/s²
Direction, θ = 42 degrees north of west.
Let's solve for the following:
(a) How far west has the sailboat traveled in 25 minutes.
We have the free body diagram below:
To find the distance, let's first find the x-component and y-component of the velocity.
x-component:
\(\begin{gathered} Vx=-V\cos \theta \\ V_x=-3.2\cos 42 \\ V_x=-2.378\text{ m/s} \end{gathered}\)y-component:
\(\begin{gathered} V_y=V\sin \theta \\ V_y=3.2\sin 42 \\ V_y=2.141\text{ m/s} \end{gathered}\)To find the distance travelled west, we are to find the distance in the x direction.
Apply the formula:
\(d=|V_x|t\)Where:
|Vx| = |-2.378 m/s| = 2.378 m/s
t is the time is seconds = 25 x 60 = 1500 seconds
Thus, we have:
\(\begin{gathered} d=2.378\ast1500 \\ \\ d=3567.1\text{ m }\approx\text{ 3.6 km} \end{gathered}\)The distance traveled west in 25 minutes is 3.6 km.
• (b) How far north has the sailboat traveled in 25 minutes.
Here, we are to find the vertical distance using the y-component.
Apply the formula:
\(d=|V_y|t\)Where:
Vy = 2.141 m/s
t = 1500 seconds
Thus, we have:
\(\begin{gathered} d=2.141\ast1500 \\ \\ d=3211.5\text{ m }\approx3.2\text{ km} \end{gathered}\)The sailboat traveled 3.2 km in the north direction.
ANSWER:
(a) 3.6 km
(b) 3.2 km
What is the medium through which sound travels inside a bird’s body? (HINT: three-letter word)
Answers
The medium through which sound travels inside a bird’s body is the air. This is further explained below.
What is Air?Generally, Air is simply defined as the invisible combination of gases, and this gas exists around the Earth.
In conclusion, Sound wave allows birds to communicate.
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A dart shot at a monkey is traveling 6 m/s horizontally, while simultaneously traveling 9 m/s downward. What is the magnitude of the total velocity of the dart?
A dart shot at a monkey is traveling 10 m/s horizontally, while simultaneously traveling 7 m/s downward. At what angle below the horizontal is the dart traveling? Answer in degrees
Answers
If a dart shot at a monkey is traveling 6 m/s horizontally, while simultaneously traveling 9 m/s downward, then the total velocity of the dart would be 10.81 m /s.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
As given in the problem a dart shot at a monkey is traveling 6 m/s horizontally, while simultaneously traveling 9 m/s downward.
Total velocity of the dart = √ ( 6² + 9² )
= 10.81 m /s
Thus, the total velocity of the dart would be 10.81 m /s.
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Give three examples of the importance of gravity to humans?
Answers
The force that causes a ball you throw in the air to come down again.
The force that causes a car to coast downhill even when you aren't stepping on the gas.
Worth 25 points on my exam
(will give brainliest btw)
A squirrel runs out in front of a car moving at +20m/s. The driver slams on the brakes and begins decreasing at -8m/s^2. Determine the fate of the squirrel if it was initially 26 meters from the car when braking began.
Answers
We need to verify the thrid equation of kinematics here
\(\\ \tt\longmapsto v^2-u^2=2as\)
\(\\ \tt\longmapsto 20^2=2(-8)s\)
\(\\ \tt\longmapsto 400=-16s\)
\(\\ \tt\longmapsto s=|400/-16|\)
\(\\ \tt\longmapsto s=25m\)
The squirrel has a good luck ,Car gets stopped just 1m away from the squirrel .
Explanation:
According to the Question
A squirrel runs out in front of a car moving at +20m/s ( initial speed u) . The driver slams on the brakes and begins decreasing at -8m/s² ( here the acceleration is acting in opposite directions of motion a )
When Squirrel was 26 metres ( Distance from the car initially )
Using Kinematic Equation
v² = u² + 2asOn substituting the value we obtain
➥ 0² = 20² + 2 × -8 × s
➥ 0 = 400 - 16 × s
➥ -400 = -16 × s
➥ 400/16 = s
➥ 25 = s
So, the squirrel is 25 metres from the car .
PLS HELP what force is required to move your 1000 kg car an acceleration of 4 m/s
Answers
i took physics last year and the first thing that came to mind was the forces that make a plane fly: drag, gravity, push, and lift.
dont use me for points please i need help, (circuits for physics)
Answers
Answer:
B, A, A, B
Explanation:
Just trust me on this one.
Rhonda is looking for a campsite for the night. From her parking spot she walks north for 212 meters, then turns and walks west for 145 m what is the displacement from Rhonda's car to her campsite
Answers
The displacement from Rhonda's car to her campsite 257 m, 34.4° north of west.
Most campgrounds have picnic tables, a place to park your car, and a place to pitch your tent. Bathrooms and taps are often shared. One of the joys of camping is the lack of outdoor gear. But it's also nice to have a comfortable, convenient and cozy campsite. A tent is a small shelter for sleeping while camping.
Camps are areas with tents campfires and surroundings. There are many types of camping but the main methods of camping are backpacking auto-camping and glamping. These top three camping styles have options for every level of camper. Front country camping is also called auto camping because you can drive to the campground. These campsites usually have running water and modern washrooms.
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Steam undergoes an isentropic compression in an insulated piston–cylinder assembly from an initial state where T1 = 120°C, p1 = 1 bar to a final state where the pressure p2 = 20 bar. Determine the final temperature, in °C, and the work, in kJ per kg of steam
Answers
The final temperature of steam that undergoes an isentropic compression in an insulated piston–cylinder assembly is T2 in °C and the work done in kJ/kg of steam.
To determine the final temperature and work for the isentropic compression of steam, we'll first need to find the initial and final specific volumes and enthalpies. We'll use the given initial and final pressures and the isentropic process condition.
Given:
Initial temperature T1 = 120°C
Initial pressure p1 = 1 bar
Final pressure p2 = 20 bar
Find initial specific volume (v1) and enthalpy (h1).
At the initial state, refer to the steam tables and find the values for v1 and h1 at T1 = 120°C and p1 = 1 bar.
Calculate the isentropic exponent (k).
The isentropic exponent (k) for steam can be found using the specific heat capacities at constant pressure (Cp) and constant volume (Cv):
k = Cp/Cv
Calculate the initial and final specific volumes ratio (v1/v2).
For an isentropic process, the following relation holds true:
(p1 × v1^k) = (p2 × v2^k)
Now, we need to find v2:
v2 = v1 × (p1/p2)^(1/k)
Find the final specific volume (v2) and enthalpy (h2).
Using the calculated value of v2 and given value of p2, refer to the steam tables again to find the final temperature (T2) and specific enthalpy (h2).
Calculate work done during the isentropic process.
The work done during the isentropic compression can be determined using the following formula:
Work = h1 - h2
Now, you have the final temperature T2 in °C and the work done in kJ/kg of steam.
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During the rainy season, we can observe lighting in the sky. Due to lighting, the atmospheric
nitrogen combines with atmospheric oxygen to form nitric oxide. Which among the following is a
correct statement concerning this process?
O A physical change has taken place in the atmosphere during lighting.
Ques
O No change occurred, as lighting is natural event.
A chemical change has taken place to form nitric oxide.
O All of the choices
Answers
Answer:
A chemical change has taken place to form nitric oxide.
A child throws a baseball straight up into the air and it takes 4.5 seconds to reach maximum height. What is the total time of flight for the baseball after being thrown and the baseball player catching it? What are the known and unknown variables? And what equation must be used?
Answers
Answer:
9 s.
Explanation:
The following data were obtained from the question:
Time (t) taken to reach the maximum height = 4.5 s
Time of flight (T) =?
The time of flight (T) is simply defined as the total time spent by the ball in the air. Mathematically, it defined as twice the time taken (t) to reach the maximum height i.e
T = 2t
With the above formula, we can obtain the time of flight as follow:
Time (t) taken to reach the maximum height = 4.5 s
Time of flight (T) =?
T = 2t
T = 2 × 4.5
T = 9 s
Thus, the time of flight of the ball is 9 s.
PLEASE HELP ME QUICK
A 10.0 kg dog moving at 6.0 m/s to the right collides with a 5.0 kg cat
moving at 3 m/s to the left. If the cat moves to the right at 12.0 m/s after
the collision, what is the speed of the dog?
O 1.5 m/s to the left
O 1.5 m/s to the right
O 3.0 m/s to the left
0 3.0 m/s to the right
Answers
Answer:
i think its 1.5 m/s to the right?
Explanation:
I was watching quantum leap and I was wondering if we can actually travel through different people's body without knowing it's actually me.
Answers
Answer:
No you could not do that because if you tried even if you where to go super fast they would feel a breif second of pain before being completely riped from there body
Derive an equation for the acceleration of block 3 for any arbitrary values of m3 and m2. Express your answer in terms of m3, m2, and physical constants as appropriate.
Answers
Complete question is;
Block 1 is resting on the floor with block 2 at rest on top of it. Block 3, at rest on a smooth table with negligible friction, is attached to block 2 by a string that passes over a pulley, as shown in the attachment below. The string and pulley have negligible mass.
Block 1 is removed without disturbing block 2.
Derive an equation for the acceleration of block 3 for any arbitrary values of m3 and m2. Express your answer in terms of m3, m2, and physical constants as appropriate.
Answer:
a = (m2)g/(m3 + m2)
Explanation:
Looking at the attached image, if we consider the free body diagram for block 3, by using Newton's first law of motion, we will arrive at the formula;
T = (m3)a - - - (eq 1)
where;
T is the tension in the string
a is acceleration
m3 is mass of block 3
Meanwhile doing the same with Block 2, the free body diagram would give us the formula; (m2)g - T = (m2)a
Making T the subject gives us;
T = (m2)g - (m2)a - - - (eq 2)
where;
g is acceleration due to gravity
T is the tension in the string
a is acceleration
m2 is mass of block 2
To solve for the acceleration, we will just substitute (m3)a for T in eq 2.
Thus;
(m3)a = (m2)g - (m2)a
(m3)a + (m2)a = (m2)g
a(m3 + m2) = (m2)g
a = (m2)g/(m3 + m2)
How fast does a apple fall if it falls at 5mph?
Answers
The apple will fall in 0.00014 seconds
The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics. Kinematics equations are a set of equations that can derive an unknown aspect of a body’s motion if the other aspects are provided.
u = 5 m/h = 0.00139 m/s
using kinematic equation
v = u + at
v = final velocity = 0
g = acceleration due to gravity
t = time = ?
using
v = u - g*t
0 = 0.00139 - 9.8 t
t = 0.00139 / 9.8 = 0.00014 seconds
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A squirrel on a limb near the top of a tree loses its grip on a nut, so that the nut
slips away horizontally at a speed of 10.0 cm/s. If the nut lands at a horizontal
distance of 18.6 cm, how high above the ground is the squirrel?
Answers
We do not have the value of yo, the initial vertical position of the squirrel (height of the tree limb), so we cannot calculate the exact height of the squirrel above the ground without that information.
What is Velocity?
Velocity is a vector quantity that describes the rate of change of an object's position with respect to time. It specifies both the speed and direction of an object's motion. Velocity is defined as the displacement of an object per unit of time, and it is typically denoted by the symbol "v"
We need to convert the horizontal distance from centimeters to meters and use consistent units in our calculations. Plugging in the given values:
x = 0.186 m
xo = 0 m
vox = 0.1 m/s
Using the horizontal motion equation, we can calculate the time of flight (t) of the nut:
0.186 = 0 + 0.1*t
t = 1.86 seconds
Now, we can use the vertical motion equation to calculate the height (y) of the squirrel:
y = yo + voyt - 0.5g*\(t^{2}\)
Since the squirrel loses its grip and has no initial vertical velocity (voy = 0), we have:
y = yo - 0.5g\(t^{2}\)
Plugging in the known values:
g = 9.8 m/\(s^{2}\)
t = 1.86 s
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