determine the angular velocity of the disc, measured counterclockwise, when its mass center g has moved 0.5 m along the plane. express your answer using three significant figures. enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise.
Answers
In conclusion, the angular velocity of the disc, measured counterclockwise, when its mass center g has moved 0.5 m along the plane is given by the formula ω = 5/t, where t is the time taken to cover the distance of 0.5 m. The answer should be expressed using three significant figures.
To determine the angular velocity of a disc, we need to know its linear velocity and the radius of the disc. Since the disc's mass center has moved 0.5 m along the plane, we can use this information to find the linear velocity of the disc. Let's assume that the disc's radius is r.
The linear velocity of the disc can be calculated using the formula:
v = d/t
where d is the distance traveled by the mass center and t is the time taken to cover that distance. As the problem doesn't give any information about the time taken, we cannot directly find the linear velocity.
However, we can use the fact that the mass center of the disc is moving in a circular path to relate the linear velocity and angular velocity of the disc.
The angular velocity of the disc is given by the formula:
ω = v/r
where ω is the angular velocity, v is the linear velocity, and r is the radius of the disc.
Substituting the value of v from the first equation, we get:
ω = (d/t)/r
ω = d/(rt)
As we know that the mass center of the disc has moved 0.5 m, we can substitute d = 0.5 m. We don't know the value of t or r, but we can use the fact that the distance traveled by the mass center is equal to the length of the arc it traces on the circular path.
The length of the arc traced by the mass center is given by:
s = rθ
where s is the length of the arc, r is the radius of the disc, and θ is the angle in radians swept by the mass center.
We can use this equation to relate the distance traveled by the mass center with the angle swept by it. Let's assume that the angle swept by the mass center is α radians.
Then, we have:
s = rα
As the mass center of the disc has moved 0.5 m, we can equate s = 0.5 m:
0.5 = rα
α = 0.5/r
Substituting this value of α in the formula for angular velocity, we get:
ω = (0.5/t)/r
ω = 0.5/(rt)
As we need to express the answer using three significant figures, we can assume r = 0.1 m (as the problem doesn't provide any information about it). Substituting this value and simplifying, we get:
ω = 5/t
The answer is positive if the angular velocity is counterclockwise, and negative if the angular velocity is clockwise. We cannot determine the sign of the answer as the problem doesn't provide any information about the direction of motion of the mass center.
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Related Questions
What is the name of the shuttle with 134 successful launches
Answers
International space station is the mission of NASA. It has launched 134 successful space missions.
What is International Space Station ?International space station is a huge place in the space but in the close orbit with all possible facilities for astronauts , scientists and others
What is NASA ?The National Aeronautics and Space Administration (NASA) is an acronym for the National Aeronautics as well as Space Administration. NASA was established as a division of the United States government on October 1, 1958. NASA is just in charge of all research and technology related to aviation and space in the United States.
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A soccer ball is kicked from ground level at a velocity of 40 m/s at an angle of 30o
above
the horizontal. Find:
a. Hang Time (total time the ball is in the air)
b. The ball’s maximum height
c. The ball’s Range
Answers
Answer:
b the balls maximum height
HELP me pleaseeee somebody
an object is placed 30cm from a mirror of focal length 15 cm the object is 7.5cm tall. where is the image located? how tall is the image??
Answers
Explanation:
It is given that,
Object distance from the mirror, u = -30 cm
Focal length of the mirror, f = +15 cm
Size of the object, h = 7.5 cm
We need to find the image distance and the size of the image.
Mirror's formula, \(\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}\)
v is image distance
\(\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{(15)}-\dfrac{1}{(-30)}\\\\v=10\ cm\)
Let h' is the size of the image. So,
\(\dfrac{h'}{h}=\dfrac{-v}{u}\\\\h'=\dfrac{-vh}{u}\\\\h'=\dfrac{-10\times 7.5}{-30}\\\\h'=2.5\ cm\)
So, the image is located at a distance of 10 cm and the size of the image is 2.5 cm.
pooja needs 15 kg of water at 38 degree Celsius to take a bath, but her water is only at 20 degree Celsius. calculate the minimum amount of heat energy she requires to heat the water to the required temperature.
Answers
Answer:
Q = 1128.6 [kW] - kilowatts
Explanation:
To calculate the amount of energy required, the following expression should be used:
\(Q=m*c_{p}*(T_{f} - T_{i}) \\where:\\C_{p}=specific water heat = 4.18 [\frac{kJ}{kg*K}] \\m = mass = 15 [kg]\\T_{f}= Final temperature = 38 [C]\\T_{i}=20[C]\)
Q = 15*4.18*(38-20)
Q = 1128.6 [kW]
measurement of the speed of sound using the flash and report method
Answers
The flash and report method is a simple and common technique used to measure the speed of sound. In this method, an observer measures the time between seeing a flash, such as from a gunshot or a firecracker, and hearing the corresponding sound. The observer is usually at a known distance from the source of the flash and sound.
To perform the experiment, the observer stands at a fixed distance away from the source of the flash and sound. When the flash is seen, they start a stopwatch or use any other timing device. Once they hear the sound, they stop the timer and note the time difference between the flash and the sound. This time difference is the time it takes for the sound to travel from the source to the observer.
The speed of sound can then be calculated using the formula: speed of sound = distance / time taken. The distance between the observer and the source is divided by the time difference recorded to find the speed of sound in the medium (usually air).
It is essential to ensure that the distance between the source and the observer is accurate and that the observer's reaction time is considered when measuring the time difference. External factors such as temperature, humidity, and altitude also affect the speed of sound and should be taken into account.
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The probable question may be:
Discuss the measurement of the speed of sound using the flash and report method?
What are quotas simple definition?.
Answers
A quota is a trade restriction imposed by the government that limits the quantity of goods or the amount of money that a country may spend on them at one time for import or export.
Nations utilize quotas in international trade to regulate the volume of trade that takes place between them and other countries. A quota is a limit on the quantity of something or someone that is permitted or necessary.An import quota is a sort of trade restriction when a government places a cap on the quantity or price of a commodity that another country is allowed to bring into the country. A government may impose a quota, for instance, preventing a neighboring country from importing more than 10 tons of grain. A quota is the set limit on how much of something is legally permitted. Four tickets per person were no longer allowed; only two were now allowed.Thus this is the meaning of quota.
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A 20-car train standing on the siding is started in motion by the train’s engine. 2 cm slack is between each of the cars, which are 11 m long. The engine is tightly connected to the first car and moves at a constant speed of 21 cm/s. How much time is required for the pulse to travel the length of the train? Answer in units of s.
Answers
Answer:
1.81 s
Explanation:
From the given information:
The links between the cars are:
1-2, 2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9, 9-10, 10-11, 11-12, 12-13, 13-14, 14-15, 15-16, 16-17, 17-18, 18-19, 19-20.
where;
1 denotes the first car that joins strongly attached to the engine.
There are 19 links from the above connections and each one of them has a 2 cm slack.
Thus; the total slack = 2 × 19 = 38 cm
However, the speed of the train = 21 cm/s
Then, the time taken by the pulse to travel the length of the train is expressed by using the formula:
= length / speed
= 38 / 21
= 1.81 seconds
Thus, the required time = 1.81 s
Where would you go on Earth if you wanted to be able to see both the north celestialpole and the south celestial pole at the same time?
Answers
You would have to be at the celestial equator on Earth if you wanted to be able to see both the north celestial pole and the south celestial pole at the same time.
What is celestial equator?The celestial equator is the great circle of the imaginary celestial sphere on the same plane as the equator of Earth. By extension, it is also a plane of reference in the equatorial coordinate system.
The circle in the sphere halfway between the celestial poles is called the celestial equator. It can be thought of as Earth's equator projected onto the celestial sphere. Astronomers use the equatorial coordinate system for indicating the positions of stars and other heavenly objects.
We can never observe the whole celestial sphere from the Earth, as the horizon limits our view of it. In fact, we can only ever observe half of the celestial sphere at any one time, and the half we observe depends on our position on the Earth's surface.
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When developing a model of the cycling of water between the land, the ocean, and the atmosphere, one must include the forces that propel the water. For the model, these forces would be-
Answers
Answer: gl
Explanation:
When developing a model of the cycling of water between the land, the ocean, and the atmosphere. For the model, these forces would be gravity and sunlight( evaporation).
Sunlight causes evaporation and propels oceanic and atmospheric circulation, which transports water around the globe. Gravity causes precipitation to fall from clouds and water to flow downward on the land through watersheds. Energy from the sun and the force of gravity drive the continual cycling of water.
What is gravity ?"Gravity is the force by which a planet or other body draws objects toward its center. The force of gravity keeps all of the planets in orbit around the sun."
What is energy ?"Energy is defined as the “ability to do work, which is the ability to exert a force causing displacement of an object.”
What is water cycle ?"The water cycle shows the continuous movement of water within the Earth and atmosphere. It is a complex system that includes many different processes. Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow."
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If the height of a playground is kept constant, will the length of the slide or whether it has bumps make any difference in the final speed of children playing on it? Assume the slide is slick enough to be considered frictionless Yes No
Answers
Yes, the length of the slide and whether it has bumps will make a difference in the final speed of children playing on it, even if the height of the playground is kept constant and the slide is frictionless.
The final speed of a child sliding down a slide is determined by the interplay between gravitational potential energy and kinetic energy. As the child descends, gravitational potential energy is converted into kinetic energy, resulting in an increase in speed.
The length of the slide influences the duration of the child's descent. A longer slide allows the child to spend more time accelerating, resulting in a higher final speed compared to a shorter slide where the descent is completed more quickly.
Additionally, the presence of bumps or variations in the slide's surface can affect the child's motion. Bumps can cause the child to experience changes in speed due to temporary increases or decreases in gravitational potential energy. This can result in fluctuations in the child's final speed as they encounter different sections of the slide.
Therefore, both the length of the slide and the presence of bumps can impact the final speed of children playing on the slide, even if the height of the playground is constant and the slide is frictionless.
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an air-filled toroidal solenoid has a mean radius of 15.0 cm and a cross-sectional area of 4.95 cm2 . when the current is 11.5 a , the energy stored is 0.395 j . you may want to review (page) .
Answers
The air-filled toroidal solenoid has approximately 33 turns in its winding, when the current is 11.5 a, and the energy stored is 0.395 j.
To find the number of turns (N) in the air-filled toroidal solenoid, we can rearrange the formula for energy stored in a solenoid:
U = (1/2) * μ * N^2 * A * I²
Solving for N, we get:
N = √((2 * U) / (μ * A * I²))
Given:
Mean radius (r) = 15.0 cm = 0.15 m
Cross-sectional area (A) = 4.95 cm² = 4.95 × 10⁻⁴ m²
Current (I) = 11.5 A
Energy stored (U) = 0.395 J
We need to calculate the permeability of free space (μ) using the given values. The formula for permeability is:
μ = (2 * U) / (N² * A * I²)
Substituting the known values:
μ = (2 * 0.395 J) / (N² * 4.95 × 10⁻⁴ m² * (11.5 A)²)
μ ≈ 1.26 × 10⁻⁶ T·m/A
Now, we can rearrange the formula for N:
N = √((2 * U) / (μ * A * I²))
Substituting the known values:
N = √((2 * 0.395 J) / (1.26 × 10⁻⁶ T·m/A * 4.95 × 10⁻⁴ m² * (11.5 A)²))
N ≈ 33.67
Therefore, the air-filled toroidal solenoid has approximately 33 turns in its winding.
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Baker Bill used 67 kilograms of flour on Monday. He used 48 kilograms of flour on Tuesday. How much did he use in all?
Answers
The total amount of flour he used in all is 115kg
What is Addition?One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. When two whole numbers are added, the sum or total of those values is obtained.
Given that Baker Bill used 67 kilograms of flour on Monday. He used 48 kilograms of flour on Tuesday
We would add the kg of flour he used
This would be 67 + 48 = 115kg of flour
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A stone was thrown horizontally at a speed of 5.0m/s from the top of a cliff 78.4 m high
a. how long does it take the stone to hit the bottom of the cliff
b. how far from the base of the cliff does the stone strike the ground
c. what are the horizontal and vertical components of velocity of the stone as it hits the ground
Answers
The time taken to reach ground will be 4 sec, stone hits 20 meters from base of cliff, and final velocity in Y axis is 39.2 m/s.
What is the definition of a velocity simple?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
Given:
Speed of stone = 5.0 m/s
Hight = 78.4 m
(a).
The stone is horizontally thrown, the initial vertical velocity will be zero.
\(h=u_y(t)+\frac{1}{2} gt^2\)
\(78.4=0(t)+\frac{1}{2} (9.8)t^2\)
\(78.4=4.9t^2\)
\(t^2=16\)
\(t=4sec\)
(b).
Now, Range (R) will be,
\(R=u_x(t)\)
\(R=5*4\)
\(R=20 meters\)
(c).
The horizontal component of velocity will still remain 5 m/s because there is no acceleration in X axis.
But in Y axis, we can say,
\(u_y=u_x+gt\)
\(u_y=0+9.8(4)\)
\(u_y=39.2m/s\)
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Hello people ~
When a comb rubbed with dry hair attracts pieces of paper. This is because the______
(a) comb polarizes the piece of paper
(b)comb induces a net dipole moment opposite to the direction of field
(c)electric field due to the comb is uniform
(d) comb induces a net dipole moment perpendicular to the direction of field
Answers
\(\bold{Heya!}\)
Answer :-(b) comb induces a net dipole moment opposite to the direction of field.
Explanation :-When a comb rubbed with dry hair it's attracts pieces of piece of paper. This is because the comb that induces of the dipole net that of the moment thatopposite of the field. And, This happens the field dueing to charge of the comb induces of the dipole moment in the paper of the molecules in the dielectric.
Hopefully This Helps ! ~
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\(\underline{Answer :}\)
Jaceysan ~
Answer:
Option B
Explanation:
When a comb is rubbed with dry hair it induces some charge or its get charged either positive or negative
As paper remains in neutral hence it attracts the paper
Hence option B is correct
Which of the following has potential but not kinetic energy? (2 points)
a roller coaster zooming down a hill
b child riding their bike
c bird flying from a tree
d ball sitting on a shelf
Answers
Answer:
D
Explanation:
If the ball was in motion there would be kinetic energy but as there is no movement there is no kinetic energy only potential
A tow truck pulls a 1,500-kilogram car with a net force of 4,000 newtons. What is the acceleration of the car?
help me please?
Answers
Answer:
a = F/M = 4000/1500 = 2.66m/s^2
The acceleration of the car is 2.6667 m/s²
To calculate the acceleration, mass is given as m = 1500 kg
Force = 4000 Newtons
What is acceleration?Acceleration is the change in velocity for the given period of time.
a=dv/dt
or
=(v2-v1)/(t2-t1)
Acceleration can be defined as a net force on an object is directly proportional to the magnitude of the force in the same direction and is inversely proportional to the mass of the object.
The unit of acceleration is meter / second²
This is the definition based on the Newton's second law.
F = ma
acceleration, a = F / m
= 4000 N / 1500 kg
= 2.6667 m/s²
Thus, acceleration can be calculated as 2.6667 m/s².
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a handy piece of equipment that can be used to spread open thimbles, tighten lags, and help wrap dead-end grips onto the cable is a
Answers
A handy piece of equipment that can be used for spreading open thimbles, tightening lags, and assisting in wrapping dead-end grips onto a cable is a cable grip puller.
A cable grip puller is a specialized tool designed to provide a firm grip and leverage when working with cables. It typically consists of a handle or grip portion and a set of jaws or clamps that can be adjusted to accommodate different sizes of thimbles or lags. The puller allows for the spreading open of thimbles, which are metal sleeves used to protect and reinforce the cable ends.
Additionally, the grip puller's adjustable jaws or clamps can be used to tighten lags, which are screws or bolts used to secure cable fittings or fixtures. The tool provides a secure grip and the necessary torque for tightening the lags effectively.
Furthermore, a cable grip puller can assist in wrapping dead-end grips onto the cable. Dead-end grips are devices used to secure the cable ends to support structures or equipment. The puller aids in applying the necessary tension and ensuring a proper and secure grip on the cable.
Overall, the cable grip puller is a versatile and practical tool that facilitates various tasks involved in cable installation, maintenance, and securing cable ends. Its design and functionality make it a valuable asset for professionals working with cables in various industries.
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Drag the labels to the image. Each label can be used more than once.
The image shows the path of a ball from the time it's thrown to the time it lands on the ground. Determine the kind of energy the ball has at each
position. (PE stands for gravitational potential energy, and KE stands for kinetic energy.)
Answers
Following the image of the ball that have been shown;
1. Potential energy
2. Kinetic energy
3. Kinetic energy
4. Potential energy
5. Kinetic energy
6. Kinetic energy
7. Kinetic energy
What is the type of energy?
Due to its position or elevation, an object has potential energy while it is at rest or is elevated above the ground. Depending on the circumstances, this potential energy may either be elastic or gravitational.
Kinetic energy, or the energy connected to motion, is present when an item is in motion. An object's kinetic energy is determined by its mass and velocity .
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Answer:
1: Potential and kinetic
2: Potential and kinetic
3: Potential and kinetic
4: potential
5: Potential and kinetic
6: Potential and kinetic
7: NEITHER
Explanation:
4 is potential because its the highest point
7 is neither because the question states "the image shows the path of a ball from the time it's thrown to the time it lands on the ground" so... 7 is when the ball has landed on the ground. therefore it has neither potential nor kinetic because it is resting.
which obsevation would be evidence that heat was transferred by radiation?
Answers
A parallel-plate capacitor has square plates that are 7.40 cm on each side and 3.20 mm apart. The space between the plates is completely filled with two square slabs of dielectric, each 7.40 cm on a side and 1.60 mm thick. One slab is Pyrex glass and the other slab is polystyrene. If the potential difference between the plates is 84.0 V, find how much electrical energy (in nJ) can be stored in this capacitor.
Answers
Answer:
The energy that can be stored in the capacitor is 239 nJ
Explanation:
We first calculate the capacitance of each material. Let C₁ be the capacitance of pyrex glass and C₂ be the capacitance of polystyrene.
C₁ = κ₁ε₀A/d where κ₁ = dielectric constant of pyrex glass = 5, A = area of plates = L² where L = length of square plate = 7.40 cm = 7.40 × 10⁻² m and d = thickness of pyrex slab = 1.60 mm = 1.60 × 10⁻³ m and ε₀ = permittivity of free space = 8.854 × 10⁻¹² F/m
C₁ = κ₁ε₀A/d = κ₁ε₀L²/d = 5 × 8.854 × 10⁻¹² F/m × (7.40 × 10⁻² m)²/1.60 × 10⁻³ m = 2424.2252/1.60 × 10⁻¹¹ F = 1515.14 × 10⁻¹¹ F = 15.2 × 10⁻⁹ F = 15.2 nF
C₂ = κ₂ε₀A/d where κ₂ = dielectric constant of polystyrene = 3, A = area of plates = L² where L = length of square plate = 7.40 cm = 7.40 × 10⁻² m and d = thickness of polystyrene slab = 1.60 mm = 1.60 × 10⁻³ m and ε₀ = permittivity of free space = 8.854 × 10⁻¹² F/m
C₁ = κ₁ε₀A/d = κ₁ε₀L²/d = 3 × 8.854 × 10⁻¹² F/m × (7.40 × 10⁻² m)²/1.60 × 10⁻³ m = 1454.5351/1.60 × 10⁻¹¹ F = 909.08 × 10⁻¹¹ F = 9.09 × 10⁻⁹ F = 9.09 nF
Since the capacitors are in series, we find their effective capacitance C from
1/C = 1/C₁ + 1/C₂
C = C₁C₂/(C₁ + C₂)
= 15.2 × 10⁻⁹ F × 9.09 × 10⁻⁹ F/(15.2 × 10⁻⁹ F + 9.09 × 10⁻⁹ F)
= 138.168 × 10⁻¹⁸/24.29 × 10⁻⁹ F
= 5.69 × 10⁻⁹ F
The amount of electrical energy stored in a capacitor is given by W = 1/2CV² where C = capacitance and v = voltage applied. Now C = 5.69 × 10⁻⁹ F and V = 84.0 V for this capacitor
So W = 1/2 × 5.69 × 10⁻⁹ F × 84.0 V
= 238.98 × 10⁻⁹ J
≅ 239 × 10⁻⁹ J
= 239 nJ
So the energy that can be stored in the capacitor is 239 nJ
A friend says to you, “I’m the fastest runner in my class because I can run four miles without stopping.” Explain to your friend why her statement doesn’t make sense.
Answers
Answer:
Just because they can run doesn't mean they are fast
Explanation:
you could take a day to run across a football field, or you can take 5 minutes, which is faster?
You're friend in this equation has little to no braincells so they would have trouble seeing that running the length of a football field in five minutes is faster than a day, however, if they also said they did it in less than five minutes then it would mean your friend is fast
federal board paper of class 10 of physics
Answers
Answer:
If you are looking for past papers you can search that up and you will find plenty of resources that will help you out.
The terrestrial planets are different from the giant planets because when they formed
a. The inner solar system was richer in heavy elements
b. The inner solar system was hotter than the outer solar system
c. The outer solar system took up a bigger volume, so there was more material to form planets
d. The inner solar system was moving faster, so centrifugal force was more important
Answers
Option B- the inner solar system was hotter than the outer solar system is the correct answer.
The Sun and the planets formed together 4.6 billion years ago from a cloud of dust particles and gas known as the Big bang. The universe continued to decrease in density and temperature. The energy of each particle was going down.
The terrestrial planets formed near the Sun, where temperatures were best for rocks and metals to condense. The jovian planets formed outside is called the frost line, where temperatures were low for ice condensation.
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a car rounds a curve at a steady 50 km/h. if it rounds the same curve at a steady 70 km/h, will its acceleration be any different? explain.
Answers
Answer:
Acceleration would be \(1.96\) times the initial value.
Explanation:
The vehicle is in a centripetal motion as it rounds the circular curve. Acceleration of the vehicle during the motion would be:
\(\displaystyle a = \frac{v^{2}}{r}\),
Where:
\(v\) is the speed of the vehicle, and\(r\) is the radius of the curve.In this question, \(r\) stays the same since the vehicle is rounding the same curve. Acceleration of the vehicle would be proportional to the square of velocity.
The new velocity of the vehicle is \((70 / 50)\) times the original one. Hence, the new acceleration would be \((70 / 50)^{2} = 1.96\) times the original value.
a quadruple axel (in figure skating) involves how much angulardisplacement?
Answers
A quadruple axel in figure skating involves 4.5 revolutions, which corresponds to 1440 degrees of angular displacement.
In figure skating, an axel jump is a jump that takes off from a forward outside edge and lands on the backward outside edge of the opposite foot. A quadruple axel, also known as a "quad axel," is an incredibly difficult and highly advanced jump performed by only a few skaters. It involves four and a half rotations in the air. Each full rotation in figure skating corresponds to 360 degrees of angular displacement. Therefore, a quadruple axel, with four and a half rotations, involves an angular displacement of 4.5 x 360 = 1440 degrees.
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How much time does it take for a bird flying at a speed of 45m/s to travel a distance
of 1, 800 meters?
Answers
Answer: 40 hr
Explanation:
what is the formula for the cop of a heat pump operating in the heating mode?
Answers
The formula for the Coefficient of Performance of a heat pump operating in heating mode is COP = Qh / W.
where Qh is the heat output (in watts or BTUs) and W is the electrical power input (in watts).
The COP is a measure of the efficiency of a heat pump system. It tells us how much heat energy we can get out of the system for each unit of electrical energy we put in. In heating mode, the COP is calculated as the ratio of the heat output (Qh) to the electrical power input (W).
In this formula, COP represents the Coefficient of Performance, Q_h represents the heat output (i.e., the amount of heat transferred to the space being heated), and W represents the work input (i.e., the energy required to operate the heat pump).In the heating mode, a heat pump transfers heat from a colder source to a warmer space. The higher the COP, the more efficient the heat pump is at providing heat.
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How much of the electromagnetic spectrum can be seen with the human eye?.
Answers
Only about 0.00355 wavelengths, not much though.
Explanation:
Sally is riding her skateboard at 12.0 ft/s and passes under an apple tree. As she
moves past, she grabs a 2.0 kg branch with five apples right off the tree. Sally's mass
is 34 kg. What is her speed after grabbing the branch and apples?
Answers
Answer:
11.3
Explanation:
A spaceship hovering over the surface of Venus drops an object from a height of 24 m. How much longer does it take to reach the surface than if dropped from the same height on Earth? Neglect air resistance in both cases. [The acceleration due to gravity on Venus is 90.7% of that on Earth,
gVenus = (0.907)g.]
Answers
The time taken is 2.3s for a spaceship hovering over the surface of Venus to drop an object from a height of 24m, and 2.21s for the same spaceship hovering over the surface of Earth to drop an object from the same height.
What is the time taken?To solve this problem, we will use the motion equation to calculate the time of flight of an object on the surface of Venus and the Earth. The height is related by the following equation of motion:
h = v₀t + gt²/2
Because the object's initial velocity before dropping is zero, we can simplify the equation to:
h = gt²/2
We know the height h of the spaceship hovering, and Venus's gravity is g = 9.07m/s². Substituting the following values into the equation:
24m = (9.07 m/s²t²)/2
To calculate the time it takes an object dropped by a spaceship hovering from a height of 24m to reach the surface of Venus, we must remove t from the equation above, yielding:
t = \(\sqrt{2(24m)/9.07m/s^{2} }\)
= \(\sqrt{48m/9.07m/s^{2} }\)
= 2.3s
Similarly, to calculate the time it takes an object dropped from a height of 24m to reach the Earth's surface, and the gravity of the Earth is g = 9.81m/s² .
t = \(\sqrt{2(24m)/9.81m/s^{2} }\)
= \(\sqrt{48/9.81m/s^{2} }\)
= 2.21s
To learn more about time taken refer to :
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