Aliya is rolling along on her 4.0-kg long board with a constant speed of 3.0 m/s when she jumps off the back and continues forward with a velocity of 2.0 m/s relative to the ground. This causes the long board to go flying forward with aspeed of 15.5 m/s relative to the ground. What is Aliya’s mass?
Answers
Given data
*The given mass of the longboard is M = 4.0 kg
*Alia is rolling along on her longboard at a speed is v = 3.0 m/s
*Alia is moving at a speed is v_1 = 2.0 m/s
*Speed of the longboard relative to the ground is v_2 = 15.5 m/s
The Alia's mass is calculated by the conservation of momentum as
\(\begin{gathered} P_i=P_f \\ mv_1+Mv_2=(m+M)v \end{gathered}\)*Here m is the Alia's mass
Substitute the known values in the above expression as
\(\begin{gathered} m(2.0)+(4.0)(15.5)=(m+4.0)(3.0) \\ 2m+62.0=3m+12.0 \\ m=50.0\text{ kg} \end{gathered}\)Hence, Alia's mass is m = 50.0 kg
Related Questions
i
e. network executives make hasty
When winding an old clock, it is important not to overwind it. Over-
winding occurs when the mainspring is almost fully wound, but the
operator continues to turn the winding key. This causes the main
spring to coil too tight, and might even break it.
110. This paragraph best supports the statement that
a. clocks have changed over the years.
b. old-fashioned clocks become fragile with age.
c. old-fashioned clocks were operated by an internal spring.
d. overwinding clocks used to be a common mistake.
e. time flies when you're having fun.
Answers
The paragraph primarily discusses the concept of overwinding old clocks and its consequences, indicating that overwinding clocks used to be a common mistake. Here option D is the correct answer.
The paragraph explains that overwinding occurs when the mainspring is almost fully wound, but the operator continues to turn the winding key, resulting in the spring coiling too tightly or even breaking.
This suggests that overwinding was a mistake commonly made in the past when operating old-fashioned clocks. The other options, such as clocks changing over the years or clocks becoming fragile with age, are not directly addressed in the paragraph and are therefore less supported.
The option e. "time flies when you're having fun" is unrelated to the paragraph and can be disregarded as an irrelevant answer choice. Hence option D is the correct answer.
To learn more about overwinding
https://brainly.com/question/20709424
#SPJ8
N stands for _____________________, which is an SI unit of force.
Answers
Answer:
Newton
Explanation:
The cooler star, the most ____ it is.
a) more luminous
b) more blue
c) redder
Answers
Answer:
c. more redder
def not blue cuz thats hottest and def not luminous
Answer:
it is c... redder
Explanation:
because i just look it up on googl3
andrew returns to the top of the hill and starts again
his mass is 67kg.
calculate his momentum when his velocity is 31 m/s
Answers
As a result, when Andrew is moving at a speed of 31 m/s, his momentum is 2077 kg*m/s.
What is the kinetic energy equation?Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kilogrammes-meters squared per second squared if the mass is measured in kilogrammes and the velocity is measured in metres per second.
An object's mass (m) and velocity (v) can be multiplied to find its momentum (p), which is written as:
p = m * v
Given that Andrew's mass is 67 kg and his velocity is 31 m/s, his momentum can be calculated as:
p = 67 kg * 31 m/s
p = 2077 kg*m/s
To know more about momentum visit:-
https://brainly.com/question/30677308
#SPJ1
Question:
Andrew is riding his bike up a hill. At some point, he stops and rests at the top of the hill. He then turns around and starts riding down the hill. When he reaches a velocity of 31 m/s, calculate his momentum. Andrew's mass is 67 kg.
A star has the solar mass of 14. Eventually, that star is going to explode. After the
explosion there is NOT a lot of mass left over. What is the star called?
White dwarf
Black hole
Neutron Core
Red Giant
Answers
The exploded star is called a black hole.
The time horizon of the black hole is an area of spacetime where gravitational pull is so intense that nothing, not even light or other electromagnetic waves, have the energy to pass through it.
It is believed that the first black holes appeared shortly after the big bang, in the beginning of the cosmos. When the core of an extremely massive star is collapsed on itself, stellar black holes are created.
A supernova, also known as an exploding star, is also brought on by this collapse and sends a portion of the star into space.
To learn more about black holes, click:
https://brainly.com/question/10597324
#SPJ1
3. 5 m A D с B 0.5 m 1.3 m Figure 2 A beam ADCB has length 5 m. The beam lies on a horizontal step with the end A on the step and the end B projecting over the edge of the step. The edge of the step is at the point D where DB = 1.3 m, as shown in Figure 2. When a small boy of mass 30 kg stands on the beam at C, where CB = 0.5 m, the beam is on the point of tilting. The boy is modelled as a particle and the beam is modelled as a uniform rod. (a) Find the mass of the beam. (3) A block of mass X kg is now placed on the beam at A. The block is modelled as a particle. (b) Find the smallest value of X that will enable the boy to stand on the beam at B without the beam tilting. (3) (c) State how you have used the modelling assumption that the block is a particle in your calculations. (1)
Answers
Based on the principle of moments and the data provided;
the mass of the rod is 20 kgthe smallest value of X of the block that will keep the rod in equilibrium will be 4.054 kgWhat is the principle of moments?The principle of moments states that the for a body in equilibrium, the sum of the clockwise moments is equal to the sum of the anticlockwise moments about a point.
Sum of Clockwise moments = Sum of Anticlockwise momentsMoment of a force = mass × perpendicular distance.At the point where the uniform rod is about to tilt, it is at equilibrium.
Anticlockwise moments = 30 × (1.3 - 0.5) = 24
Clockwise moments = m × (2.5 - 1.3)
where m is the mass of the end
Clockwise moments = m × 1.2
1.2 × m = 24
m = 20 Kg
Therefore, the mass of the rod is 20 kg
Assuming the boy moves to B and a block of mass X is placed at:
Anticlockwise moments = 30 × 1.3 = 39
Clockwise moments = 20 × 1.2 + X × 3.7
Clockwise moments = 24 + 3.7X
39 = 24 + 3.7X
3.7X = 15
X = 4.054 kg
Therefore, the smallest value of X of the block that will enable the boy to stand on the beam at B without the beam tilting is 4.054 kg
Assuming that the block is a particle allowed the assumption that the block touches the rod at only a point.
Learn more about principle of moments at: https://brainly.com/question/26117248
A 10 cm diameter pulley is used to lift a bucket of cement weighing 400 N. How much force must be applied to the rope to lift the bucket at the other end?
Answers
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
\(\large \bold {ANSWER}\)
Considering that the pulley is fixed, the force applied should be equal to the weight of the object - of 400N.
\(\large \bold {EXPLANATION}\)
Pulleys or pulleys are mechanical tools used to assist in the movement of objects and bodies. There are two types of pulleys: fixed and movable. While the fixed pulley changes the direction of force, the moving pulley helps to decrease the force needed to move the object or body in question.
As the statement only tells us a pulley, we must consider that it is fixed, because generally when it is mobile, this information is highlighted in the question.
In this way, a fixed pulley only changes the direction of the applied force. Thus, the force must have the same magnitude as the weight of the object to be moved. If the bucket weighs 400N, the force applied to the pulley must be 400N.
Therefore, having a fixed pulley, the force applied must be equal to the weight of the object, and will be 400N.
Gas in a container is at a pressure of 1.6 x 10^5 Pa and a volume of 4.0 m^3. What is the work done by the gas if it expands at a constant pressure to twice its initial volume?
Answers
Answer: W = 6.4 x 10^5
Explanation: W = P x AV +(1.6x10^5 PA)(4M)
W = 6.4 x 10^5
(50 Points)
Explain how an electric current affects the charged atoms in a piezoelectric crystal and how this allows the crystal to push a robotic forward
Answers
Answer: The piezoelectric effect describes the property of certain solids to generate an electrical charge under mechanical stress. The actuating force modifies the microscopic structure of the body; dipoles are created between which a voltage builds up. And Their positive and negative charges complement each other creating two types of electricity: static electricity
Explanation:
A phone with a mass of 0.2 kg is dropped from a height of 30 m what is it’s speed when it hits the ground?the acceleration of gravity is 9.8ms
Answers
Answer:
24.2 m/s
Explanation:
Mass is irrelevant in this situation....
Displacement: ( to find time)
x = xo + vo t - 1/2 at^2
30= 0 + 0 - 1/2 (9.8)t^2
t = 2.47 seconds
Velocity:
vf = a t = 9.8 (2.473) = 24.2 m/s
By flowing back across the membrane, protons (H+) seek to
find electrons they can combine with
become antiprotons (H-)
equalize their concentration of both sides of the membrane
transfer their energy to other protons
Answers
By flowing back across the membrane, protons (H+) seek to equalize their concentration of both sides of the membrane.
The third option is correct.
What is the process called?The process by which Protons (H+) flowing back across a membrane seek to equalize their concentration on both sides of the membrane is known as proton gradient equilibration or proton motive force equilibration.
During cellular respiration, protons are pumped across a membrane to create a gradient. This gradient is then used to generate ATP, the energy currency of the cell. Protons flow back across the membrane through a channel called ATP synthase, which generates ATP as the protons flow through it.
Learn mire about protons at:
https://brainly.com/question/1481324
#SPJ1
During the 28-day lunar cycle, the positions of the Sun,
Earth, and the Moon change in relation to one another. The
diagram shows how their relative positions change.
Which statement describes the positions of the Moon, the Sun, and Earth
during a new moon?
A. Earth is closer to the Sun than to the Moon.
B. The Moon is between Earth and the Sun.
C. Earth is between the Moon and the Sun.
D. The Sun is between Earth and the Moon.
Answers
Answer: B
Explanation: B is the correct statement describing the positions of the Moon, the Sun, and the Earth during a new moon. The Moon is between Earth and the Sun.
During a new moon, the Moon is positioned between the Sun and the Earth, with the illuminated side of the Moon facing away from the Earth. This means that the side of the Moon that faces the Earth is not receiving any sunlight, making it invisible to us from Earth. The new moon is the first phase of the lunar cycle and occurs roughly every 29.5 days.
An ant climbs vertically on a fence. Its motion is shown on the following graph of vertical position � yy vs. time � tt. Graph of y (in meters) vs. t (in seconds) that starts at 6 m at 0sec, decreases linearly to 2m at 4 sec, stays constant at 2m from 4 sec to 7 sec, increases linearly to 5 m from 7 sec to 9 sec, then stays constant until 10 sec. Graph of y (in meters) vs. t (in seconds) that starts at 6 m at 0sec, decreases linearly to 2m at 4 sec, stays constant at 2m from 4 sec to 7 sec, increases linearly to 5 m from 7 sec to 9 sec, then stays constant until 10 sec. What is the instantaneous speed of the ant at time � = 8 s t=8 st, equals, 8, start text, space, s, end text?
Answers
The instantaneous speed of the ant at t=8s is equal to the slope of the segment between t=7s and t=9s, which is 1.5m/s.
To find the instantaneous speed of the ant at time t=8s, we need to calculate the derivative of the displacement function with respect to time. Since the displacement of the ant is given by a piecewise function, we need to differentiate each segment of the function separately and then piece them together. From 0s to 4s, the displacement of the ant decreases linearly from 6m to 2m. The slope of this segment is -1m/s. From 4s to 7s, the displacement of the ant is constant at 2m. The slope of this segment is zero. From 7s to 9s, the displacement of the ant increases linearly from 2m to 5m. The slope of this segment is 1.5m/s. Finally, from 9s to 10s, the displacement of the ant is constant at 5m. The slope of this segment is zero.
Therefore, the instantaneous speed of the ant at t=8s is equal to the slope of the segment between t=7s and t=9s, which is 1.5m/s. This means that the ant is moving upwards at a constant speed of 1.5m/s at time t=8s. It's important to note that the instantaneous speed of the ant tells us how fast it's moving at a specific moment in time. It's not the same as the average speed over a given time interval, which would be calculated by dividing the total displacement by the total time elapsed.
For such more questions on instantaneous
https://brainly.com/question/30714626
#SPJ11
In a laboratory experiment, a student was exploring the stretch of a spring based on the pull of the force. The student used weights of 1 N, 2 N, 3 N, 4 N, and 5 N. The points were plotted, and the relationship was analyzed. The graph is shown.
A graph titled stretch versus force is shown with stretch on the vertical axis and force on the horizontal axis. The graph is a straight diagonal line from bottom left to top right going through points 0 comma 0, 1 comma 1.0, 2 comma 3.6, 3 comma 5.5, 4 comma 7.2, and 5 comma 9.1.
Which of the following values would be considered an interpolation?
Force = 0 N, stretch = 0 cm
Force = 3 N, stretch = 5.5 cm
Force = 4.4 N, stretch = 7.9 cm
Force = 5.2 N, stretch = 9.3 cm
Answers
Interpolation refers to determining a value within an established dataset. In the context of the spring stretch experiment, the value 'Force = 4.4 N, stretch = 7.9 cm' is considered an interpolated value as it falls within the used force range (0N to 5N). The other values are either used in the experiment or extrapolations.
Explanation:In this context, interpolation refers to the process of determining a value within an existing data set or between two known values. In your given data for the spring stretch experiment, the force values used in the experiment range from 0N to 5N. As such, an interpolated value would need to fall within this range.
Given that, the value Force = 4.4 N, stretch = 7.9 cm would be considered an interpolation because it falls within the known values used in the experiment. The rest of the options are either values used in the experiment (0 N, 3 N) or extrapolation (5.2 N) as they are outside of the range of force investigated.
Learn more about Interpolation here:https://brainly.com/question/31321449
#SPJ2
Considering the values from the experiment, the interpolated value between the known points on the graph is 'Force = 4.4 N, stretch = 7.9 cm', since it falls within the range of given values.
Explanation:In the context of this laboratory experiment, interpolation refers to predicting a value within a range of known values. From the given points plotted on the graph, the values of force range from 0 N to 5 N, and the corresponding stretch ranges from 0 cm to 9.1 cm. Looking at the listed options, the value Force = 4.4 N, stretch = 7.9 cm falls within these known ranges of both force and stretch, thereby qualifying as an interpolation.
Learn more about Interpolation here:https://brainly.com/question/31321449
#SPJ2
10. Which of the following can be used to distinguish a solid ball from a hollow sphere of the same radius and mass?
(A) Measurements of the orbit of a test mass around the object.
(B) Measurements of the time it takes the object to roll down an inclined plane.
(C) Measurements of the tidal forces applied by the object to a liquid body.
(D) Measurements of the behavior of the object as it floats in water.
(E) Measurements of the force applied to the object by a uniform gravitational field
Answers
You should discover that, regardless of their exact mass or diameter, a solid object will always roll down the ramp quicker than a hollow object of the same shape (sphere or cylinder).
Do solid or hollow balls roll more quickly?You should discover that, regardless of their exact mass or diameter, a solid object will always roll down the ramp quicker than a hollow object of the same shape (sphere or cylinder).Yes, since Force=MassxAcceleration (F=MA), more force is required to move items with greater mass, and the more mass an object has, the faster it can move.Gravity is what causes a slope's change in speed. Things move more quickly when moving downhill and more slowly when moving upwards (slow down). If there is little friction on a flat surface, they will then keep moving at the same speed.To learn more about mass refer to:
https://brainly.com/question/19385703
#SPJ4
At night, the moon appear smaller when is overhead then when it is on the horizon. This is an example of
Answers
Answer:
the brain's size-distance mechanism changes its perceived size and makes the moon appear very large.
Explanation:
the moon is changing its apparent position in depth while the light stimulus remains constant
If an object accelerates at 40 m/s^2 in four minutes ("careful this is in minutes),
what will be the final velocity? (assume the object started from rest) *
Answers
Change in speed = (acceleration) x (time)
4 minutes = 240 seconds
Change in speed = (40 m/s²) x (240 seconds)
Change in speed = 9,600 m/s
What you're actually describing here is a car pulling 4 G's for 4 minutes, and ending up going 21,475 miles per hour.
The driver would definitely NOT get a speeding ticket, because nobody could catch him.
Also, his car would heat up and shoot flames from atmospheric friction.
(He could avoid this with some fancy steering, leave the atmosphere, and end up in low-Earth-orbit.)
Actually, I hope there's nobody in the car. His experience wouldn't be pretty.
A car accelerates from 10m/s to 50m/s over a distance of som. What is the
acceleration of the car?
Answers
Answer:
40m/s
Explanation:
50m/s - 10m/s = 40m/s
A 3.5 kilogram cannon is loaded with a 0.52-kilogram ball. The cannon and ball are initially rolling forward with a speed of 1.27 m/s. The cannon is fired and launches the ball forward with a total speed of 75 m/s. Determine the post-explosion velocity of the cannon.
Answers
The cannon's forward post-explosion velocity is 6.18 m/s.
What are the fundamentals of momentum?Momentum is the force necessary to bring an item to a complete halt in a unit of time and is determined by multiplying an object's mass by its velocity. The overall momentum is equal to the sum of the individual momenta for any array of multiple objects.
Total momentum before = Total momentum after
(3.5 kg + 0.52 kg) × 1.27 m/s = 3.5 kg × v_cannon + 0.52 kg × 75 m/s
where v_cannon is the velocity of the cannon after the explosion.
Simplifying and solving for v_cannon, we get:
v_cannon = (0.52 kg × 75 m/s - (3.5 kg + 0.52 kg) × 1.27 m/s) / 3.5 kg
v_cannon = 6.18 m/s.
To know more about velocity visit:-
https://brainly.com/question/17127206
#SPJ1
When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?
Answers
The skater's final angular velocity is approximately 9.86 rad/s.
The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:
L = Iω
where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Initially, the skater has an angular momentum of:
L_initial = I_initial * ω_initial
Substituting the given values:
L_initial = 2.12 kg m² * 3.25 rad/s
The skater's final angular momentum remains the same, as angular momentum is conserved:
L_final = L_initial
The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:
L_final = I_final * ω_final
0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s
Solving for ω_final:
ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²
Hence, the skater's final angular velocity is approximately 9.86 rad/s.
For more such questions on angular velocity, click on:
https://brainly.com/question/29566139
#SPJ8
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Answers
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
For more such information on: mean
https://brainly.com/question/1136789
#SPJ8
What percentage of the area under the normal distribution is shaded?
Answers
What is the acceleration?
Answers
Answer:
0.2 m/s2
Explanation:
a=dv/dt
a=22-2/100-0
a=0.2m/s2
I think it's help u
Answer:
C i.e. 0.2 m/s^2
Explanation:
Formula of Acceleration is a = \(\frac{Final velocity - Initial velocity}{Time}\)
so The graph shows the object with initial velocity is 2m/s and final velocity is 4 m/s and the time it is taking is 10 seconds so if u put the value in the above formula u get the answer 0.2
One molecule of nitrous oxide warms Earth's atmosphere more than one molecule of carbon dioxide. And yet, new reports about global warming and climate change focus substantially on carbon dioxide and rarely mention nitrous oxide or other greenhouse gases that are more potent than carbon dioxide. Why might this be the case? Provide
reasons to justify your opinion.
GIVING BRAINLIEST
Answers
There are several reasons why carbon dioxide receives more attention than nitrous oxide or other greenhouse gases in discussions about global warming and climate change. They are:
QuantitySourcesMitigationWhat are the reasons about?Quantity: Carbon dioxide is the most abundant greenhouse gas in the atmosphere, accounting for about 78% of total radiative forcing. Nitrous oxide, on the other hand, is present in much lower concentrations, making up about 6% of total radiative forcing.
Sources: Carbon dioxide is primarily emitted through the burning of fossil fuels (such as coal, oil, and natural gas), which is a major contributor to human activities that drive climate change. Nitrous oxide, on the other hand, is primarily emitted through natural processes such as soil microbial activity and ocean currents.
Mitigation: Carbon dioxide has a relatively long atmospheric lifetime, meaning it stays in the atmosphere for a long time. Therefore, reducing carbon dioxide emissions can have a significant impact on slowing the rate of global warming. Nitrous oxide, however, has a relatively short atmospheric lifetime, meaning it stays in the atmosphere for a shorter time.
Therefore, reducing nitrous oxide emissions may not have as much of an impact on slowing the rate of global warming.
Learn more about atmosphere from
https://brainly.com/question/24925283
#SPJ1
Can an object’s mechanical energy be equal to its gravitational potential energy?
Answers
Answer:yes
Explanation:
A baby carriage is sitting at the top of a hill that is 21 m high. The carriage with the baby weighs 20
kg. The carriage has
energy. Calculate it
Answers
Answer:
Energy in carriage (Potential energy) = 4,116 J
Explanation:
Given:
Mass of baby = 20 kg
Height = 21 m
Find:
Energy in carriage (Potential energy)
Computation:
The energy accumulated in an object as a result of its location relative to a neutral level is known as potential energy.
In carriage accumulated energy is potential energy.
Energy in carriage (Potential energy) = mgh
Energy in carriage (Potential energy) = (20)(9.8)(21)
Energy in carriage (Potential energy) = 4,116 J
Two blocks, 1 and 2, are connected by a massless string that passes over a massless pulley. 1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. 2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105
. The figure illustrates the configuration.
A system of two blocks connected by a rope passing over a pulley. The system sits atop a scalene triangle whose long edge forms the base. The pulley is attached to the apex of the triangle. Box M subscript 1 rests on the triangle edge to the left of the pulley, which makes an angle of theta subscript 1 with the base of the triangle. The coefficient of friction between box M sub 1 and the surface is mu subscript 1. Box M subscript 2 rests on the triangle edge to the right of the pulley, which makes an angle of theta subscript 2 with the base of the triangle. The coefficient of friction between box M sub 2 and the surface is mu subscript 2.
Answers
The force acting on the system of two blocks connected by a rope passing over a pulley is -13.26 N.
The system of two blocks connected by a rope passing over a pulley are M1 and M2, where M1 rests on the triangle edge to the left of the pulley, which makes an angle of theta subscript 1 with the base of the triangle. The coefficient of friction between box M1 and the surface is mu subscript 1. M2 rests on the triangle edge to the right of the pulley, which makes an angle of theta subscript 2 with the base of the triangle.
The coefficient of friction between box M2 and the surface is mu subscript 2. The system sits atop a scalene triangle whose long edge forms the base. The pulley is attached to the apex of the triangle.M1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. M2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105.The free-body diagram of M1 shows that the weight of M1 acts straight downwards (vertically) and the normal force acts perpendicular to the slope.
The force of friction opposes the motion and acts opposite to the direction of motion.M1 = 2.25 kgTheta subscript 1 = 42.5 degreesMu subscript 1 = 0.205g = 9.81 m/s²In the free-body diagram of M2, the normal force acts perpendicular to the incline of the slope, the weight of the object acts vertically downwards and parallel to the incline, and the force of friction opposes the motion and acts opposite to the direction of motion.M2 = 5.55 kgTheta subscript 2 = 33.5 degreesMu subscript 2 = 0.105g = 9.81 m/s²The tension in the string is the same throughout the rope. Since the masses are being pulled by the same rope, the acceleration of the objects is the same as the acceleration of the rope.
The tension in the string is directly proportional to the acceleration of the objects and the rope.A system of two blocks connected by a rope passing over a pulley has a total mass of M. The acceleration of the system is given by the formula below:a = [(m1-m2)gsin(θ1) - μ1(m1+m2)gcos(θ1)] / (m1 + m2)Where, μ1 = 0.205 is the coefficient of friction of block M1θ1 = 42.5 degrees is the angle of the incline of block M1M1 = 2.25 kg is the mass of block M1M2 = 5.55 kg is the mass of block M2g = 9.81 m/s² is the acceleration due to gravitysinθ1 = sin 42.5 = 0.67cosθ1 = cos 42.5 = 0.75The acceleration of the system is:a = [(2.25-5.55)(9.81)(0.67) - (0.205)(2.25+5.55)(9.81)(0.75)] / (2.25 + 5.55)a = -1.7 m/s² (the negative sign indicates that the system is accelerating in the opposite direction).
The force acting on the system is given by:F = MaWhere M is the total mass of the system and a is the acceleration of the system. The total mass of the system is:M = m1 + m2M = 2.25 + 5.55M = 7.8 kgThe force acting on the system is:F = 7.8(-1.7)F = -13.26 N (the negative sign indicates that the force is acting in the opposite direction).
for more question on force
https://brainly.com/question/12785175
#SPJ8
Monitoring cash flow and keeping track of the bottom line of a business are responsibilities for whom?
Answers
A financial manager.
Explanation:
This is because a financial manager oversees the financial operations of a company. Generally, a financial manager assumes accounting responsibilities for the company. A financial manager is responsible for planning and managing the company's financial resources.
Side note:
Hope this helps!
Please give Brainliest!
it is possible for an object in free fall to be moving:
A. forward
B. upward
C. backward
D. stable (no motion)
Answers
Answer:
backward is the answer beacuse In Newtonian physics, free fall is any motion of a body where gravity is the only force acting upon it.
hvccj,nj vbn,mvcgb nkhlvhgb nnkhkhvb nkhbhv bnbjvh bn
Answers
Answer:
or or or or or or or or or or
Explanation:
dingdongdingdongdingdongbigdogdooooggg
cat is cute. dog is cute. frog not cute.