**Problem 10** A mass \( m_1 = 6.00 \, \text{kg} \) is connected by a light string that passes over a pulley of mass \( m_3 = 7.5 \, \text{kg} \) to a mass \( m_2 = 8.50 \, \text{kg} \) sliding on a frictionless inclined surface that makes an angle of \( 29^\circ \) with the horizontal (see figure). The coefficient of kinetic friction between the mass \( m_1 \) and the horizontal surface is 0.15. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia of the pulley is \( \frac{1}{2} M r^2 \).)\[ \text{Answer:} \, \boxed{} \, \text{m/s}^2 \]**Diagram Explanation** The diagram shows:- Mass \( m_1 \) on a horizontal surface connected to a light string.- Mass \( m_3 \) is the pulley through which the string passes.- Mass \( m_2 \) on an inclined plane making an angle (\(\theta\)) of \( 29^\circ \) with the horizontal.- The inclined plane is frictionless, and the surface where \( m_1 \) rests has a coefficient of kinetic friction of 0.15. - The string is taut, and there's no slippage on the pulley.

Answered: Image /qna-images/answer/45391bb0-a32b-4201-a9d4-b80e1852c900.jpg

10. A mass m¡ = 6.00 kg is connected by a light string that passes over a pulley of mass m3 = 7.5 kg to a mass mɔ = 8.50 kg sliding on a frictionless inclined surface that makes an angle of 29° with the horizontal (see figure). The coefficient of kinetic friction between the mass m¡ and the horizontal surface is 0.15. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia o the pulley is ½Mr².) m/s? m, m3 m2

10. A mass m¡ = 6.00 kg is connected by a light string that passes over a pulley of mass m3 = 7.5 kg to a mass mɔ = 8.50 kg sliding on a frictionless inclined surface that makes an angle of 29° with the horizontal (see figure). The coefficient of kinetic friction between the mass m¡ and the horizontal surface is 0.15. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia o the pulley is ½Mr².) m/s? m, m3 m2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: QUESTION 5 OK, one more time. This time the magnet has mass 3.85 kg and the force pulling it to the…

A: Given: The mass of the magnetic is 3.85 kg. The magnetic force on the object is 136.8 N. The…

Q: one more time. This time the magnet has mass 6.38 kg and the force pulling it to the right is 68.4…

A: This time the magnet has mass m = 6.38 kg and the force pulling it to the right is F = 68.4 N. The…

Q: What is the acceleration and error of acceleration in a hanging system. There is a cart connected to…

A: (1) In case of frictionless cart, write the expression for Tension. T=Ma Now, write the expression…

Q: Vo = 2 m/s 40°

Q: This time the magnet has mass 6.08 kg and the force pulling it to the right is 110.3 N. When the…

Q: Objects with masses m1 = 13.0 kg and m2 = 8.0 kg are connected by a light string that passes over a…

A: Given information:Mass of the block 1 (m1) = 13 kgMass of the block 2 (m2) = 8 kgDistance it falls…

Q: Three forces act on a particle that moves with unchanging velocity (2.4 m/s )i + (-6.5 m/s )j. Two…

Q: 3. A magnet of mass of 4.00kg is suspended from the ceiling by a cord as shown. A large magnet is…

A: As cord is not cut, the three forces magnetic, gravitational, tension are in equilibrium . As cord…

Q: height of the ramp and hit Marble B on the horizontal end of the ramp. Both Marbles A and B weighs 5…

Q: constant applied force ?p of 15.0 N pushes a box with a mass ?=6.00 kg a distance ?=15.0 m across a…

Q: Lili pulls a 6.00-kg crate across a horizontal floor for a distance of 3.00 m as shown. The tension…

Q: A ball hangs from a 1.25 m string. If it is given a push at the bottom, what is the minimum speed…

Q: Two blocks are arranged at the ends of a massless string as shown in the figure. The system starts…

A: Given m=4.36kg, M=5.77kg. Let a be the acceleration of the system. From the FBD of mass m, T - mg=-…

Q: A child is swinging on a swing, and having learned Physics, you decide to analyze the situation. The…

A: 3. The net force acting on the system can be expressed as Fnet=2T-mg=mv2r

Q: OK, one more time. This time the magnet has mass 6.18 kg and the force pulling it to the right is…

Q: 1. A mass moving at 1.70 m/s slides down a ramp angled at 30.0° to the horizontal. After the mass…

Q: This time the magnet has mass 5.04 kg and the force pulling it to the right is 169.1 N. When the…

A: The force pulling the magnet to the right is 169.1 N. The force of kinetic friction acting on the…

Q: HELOP ASAP

A: The length of the cable is L = 1.5 m angle made by the cable with the vertical is θ = 53.5o

Q: A 40 N box is resting on a table when a 10 N force is applied to it horizontally. The coefficients…

A: Frictional force F = uN

Q: **11. The three blocks in the figure are on a frictionless surface. If F= 48.0 N, m₁ = 2.0 kg, m2 =…

A: Given: The applied force F is 48 N. m1=2 kgm2=1.5 kgm3=3.5 kg

Q: a window cleaner pushes his brush over a window vertically. the person pushes the brush at a…

Q: A constant applied force F, of 15.0 N pushes a box with a mass m = 7.00 kg a distance x = 15.0 m…

A: Given: Applied force Fp=15.0 N. Mass of the block m=7.0 kg. Distance traveled by block x=15.0 m. The…

Q: 3. A child is swinging on a swing, and having learned Physics, you decide to analyze the situation.…

A: Given : Mass of child m= 42.3 kg Chain length r = 3.17 m Tension = 415 N Child's swinging on a swing…

Q: Spring scale A is attached to the floor and a rope runs vertically upward, loops over an ideal…

Q: A 1070-kg car is being pulled up a frictionless ramp at a constant speed, as shown in the figure.…

Q: Solve this question in detail. Solution must be in Handwritten format only. Include free body…

Q: A 35.0-kg child swings in a swing supported by two chains, each 3.02 m long. The tension in each…

Q: You want to use a rope to pull a 11-kg box of books up a plane inclined 30∘ above the horizontal.…

A: The mass of the object,Inclined angle,Coefficient of kinetic friction,

Q: Two blocks, M₁ and M₂, are connected by a massless string that passes over a massless pulley. M₁ has…

Q: M₁ M₂ See the figure. Two blocks are connected by a string, which passes over a light pulley. Block…

A: This problem can be solved using Newton's second law of motion.

Q: A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties a…

Q: A constant applied force F, of 15.0 N pushes a box with a mass m = 7.00 kg a distance x = 15.0 m…

A: Given Information:- Mass of the box is m=7.00 kg. Applied force is Fp=15.0 N. Coefficient of kinetic…

Q: Two blocks are connected by a string as in the figure and the system is released from rest. The…

Q: A steel beam is suspended from two ropes as it is lifted to the top of a building at a constant…

A: Given: θ1=27.1°θ2=25.7° T1=711 N Free Body Diagram:

Q: 10kg truck lies on a horizontal, frictionless surface. The tire is attached to two light,…

A: See below

Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Question

**Problem 10**
A mass \( m_1 = 6.00 \, \text{kg} \) is connected by a light string that passes over a pulley of mass \( m_3 = 7.5 \, \text{kg} \) to a mass \( m_2 = 8.50 \, \text{kg} \) sliding on a frictionless inclined surface that makes an angle of \( 29^\circ \) with the horizontal (see figure). The coefficient of kinetic friction between the mass \( m_1 \) and the horizontal surface is 0.15. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia of the pulley is \( \frac{1}{2} M r^2 \).)

\[ \text{Answer:} \, \boxed{} \, \text{m/s}^2 \]

**Diagram Explanation**
The diagram shows:

- Mass \( m_1 \) on a horizontal surface connected to a light string.
- Mass \( m_3 \) is the pulley through which the string passes.
- Mass \( m_2 \) on an inclined plane making an angle (\(\theta\)) of \( 29^\circ \) with the horizontal.
- The inclined plane is frictionless, and the surface where \( m_1 \) rests has a coefficient of kinetic friction of 0.15.
- The string is taut, and there's no slippage on the pulley.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A 41.0-kg child swings in a swing supported by two chains, each 3.04 m long. The tension in each chain at the lowest point is 348 N.
7. A mass m₁ = 5.00 kg is connected by a light string that passes over a pulley of mass m3 = 7.5 kg to a mass m2 6.50 kg sliding on a frictionless inclined surface that makes an angle of 33° with the horizontal (see figure). The coefficient of kinetic friction between the mass m₁ and the horizontal surface is 0.25. There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m₁? (The moment of inertia of the pulley is 1/2Mr².) f60 ssf60 ssf60 ssf60 ssf60 0 m₂ ssf60 ssf60 ssf60 ssfóossf60 s m₁ 0 ssf60 s f60 ssfooms oss is = ss mojss (9jss (9Jss is 1919 ISS f60 ssf60 ssf60 ssf60
A rope is attached to an object with mass 4.1-kg that rests on a frictionless, horizontal surface. The horizontal rope passes over a pulley, and a block with mass 5 kg is suspended from the other end. When the blocks are released, the tension in the rope is 17.6 newtons. What is the acceleration of either block? The pulley is frictionless and massless.
OK, one more time. This time the magnet has mass 6.05 kg and the force pulling it to the right is 81.2 N. When the magnet hits the floor, it continues being pulled to the right by the same magnetic force as before. The coefficient of kinetic friction between the magnet and the floor is 0.335. What will the magnet s acceleration be as it slides to the right along the floor? (Assume static friction is overcome and the magnet will slide.)
A 250 gram block on a 30 deg inclined plane is attached by an inextensible string going over a frictionless pulley to a 500 gram hanging weight. The static and kinetic friction coefficients are .25 and .123. While moving, what is the tension ii the connecting string? O 174530 dynes O 121000 dynes O 262400 dynes O 7430 dynes O 42930 dynes
A child's swing is held up by two massless ropes tied to a tree branch. The distance between the ropes at the top of the swing is less than the distance between the ropes at the bottom, so that the ropes hang 14.01° from the vertical (see the picture). If the tension in each rope is 2.4 N, what is the weight of the swing?
A 56.8kg box resting on a horizontal surface is attached to a frictionless pulley with a 28.9kg box suspended on the other end. What is the acceleration of the system? O 3.03 m/s? No answer 3.31 m/s2 O 3.00 m/s? O 0.33 m/s2
A block with a mass of 6.18kg slides down a ramp inclined at 30.0o. The coefficient of kinetic friction between block and ramp is uk=0.490. The kinetic friction force acting on the block as it slides has a magnitude of ________N.
The coefficient of static friction between mass mA and the table is 0.48, whereas the coefficient of kinetic friction is 0.27. Ignore masses of the cord and the (frictionless) pulley. What minimum value of mA will keep the system from starting to move? What value of mA will keep the system moving at constant speed?
The diagram shows all the forces on an object with mass m = magnitude of the acceleration of the object? 89 kg. What is the 480 N Select one: O 9.4 m/s? 30° O 6.0 m/s? 3.0 m/s? 120 N O 4.5 m/s sine and cosine reversed. Check that you didn't get 11.5 m/s? 240 N
A 38.0-kg child swings in a swing supported by two chains, each 3.08 m long. The tension in each chain at the lowest point is 420 N. (a) Find the child's speed at the lowest point. m/s (b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.) N (upward) Need Help? Read Master
A 45.0-kg child swings in a swing supported by two chains, each 3.10 m long. The tension in each chain at the lowest point is 340 N. Find the child's speed at the lowest point. m/s