2. In the figure below Block A has a mass of 30.0 kg and Block B has a mass of 10.0 kg. Both blocks are resting on frictionless surfaces. a) Draw the free body diagram and kinetic diagrams of each block. b) Determine the acceleration of the blocks. c) Determine the tension in the cord.

2. In the figure below Block A has a mass of 30.0 kg and Block B has a mass of 10.0 kg. Both blocks are resting on frictionless surfaces. a) Draw the free body diagram and kinetic diagrams of each block. b) Determine the acceleration of the blocks. c) Determine the tension in the cord.

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: In the diagram below block A has a mass of 2 kg and block B has a mass of 4 kg. A) Assume the floor…

A: Given: m4=4kg m2=2kg Solution: For block of mass 2 kg, the equation of motion is…

Q: You are pulling a 25.4kg parcel along a horizontal floor that has a friction with a rope that is at…

A: Given that:- Mass of parcel=25.4 kg

Q: A cart is arranged on a track as shown below. Ignore the friction on the incline surface. a) Sketch…

Q: t 4 Test: Acceleration and Dynamics Retake A m=12.0 kg object is placed on a bathroom scale in an…

Q: 1. Make a sketch of how you think the acceleration vs. mass graph will look for carts with different…

A: Free body diagram of a block of mass m sliding down an inclined plane-

Q: locs A, B, and C are placed as in the figure and connected by ropes of negligible mass. Botl and B…

Q: Two masses are connected by a rope which runs over a pulley, as shown below. The blue block has mass…

A: Given Mass M(blue block) is heavier than m (red block) M> m

Q: Take a small wooden block, and place it on the center of the ramp. Slowly increase the angle of the…

Q: A 10.0 kg object is hanging by a massless rope in an elevator that is accelerating upward at 4 m/s2.…

A: Given: Mass of the object=10 kg Acceleration of the elevator=4 m/s2 Tension in the rope=75.0 N Mass…

Q: A net force of 500 N is applied to a 50 kg object. How can you decrease the acceleration of the…

A: Given, Force, F = 500 N Mass, m = 50 kg Acceleration of object can be found by using the relation:…

Q: A 15 N of force is applied on object 1 of mass 5kg and object 2 of mass 7kg. According to Newton's…

A: A 15 N of force is applied on object 1 of mass 5kg and object 2 of mass 7kg. According to Newton's…

Q: When you push a 6kg box on level ground with a force of 25 N, it accelerates at 2.3 m/s^2. Which of…

A: Given data: Mass (m) = 6 kg Force (F) = 25 N Acceleration (a) = 2.3 m/s2 Required: Coefficient of…

Q: 7. The two blocks in the figure below are connected by a light rope. An upward force of 200 N is…

Q: A 60 kg package is falling downward with an acceleration of 3.00 m/s² when its velocity is 30.0 m/s.…

Q: If the coefficient of kinetic friction is µk = 0.20, what is the kinetic frictional force on the…

A: Mass, m = 4.0 kg Kinetic frictional force = Fk=μkmg Fk=0.20×4.0×9.8=7.84 N

Q: 2. A stack of 3 blocks rests on a table, as shown in the diagram. Each block has a mass of 12.0 kg.…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Someone gives a sharp but momentary shove to the blocks, and they begin to slide. Now block A is…

Q: 12. Say you push on a box continuously with a certain force. Then you increase the mass by adding…

A: Concept The second law of motion:-The rate of change of linear momentum is directly proportional to…

Q: All of the blocks shown below are intially at rest on a smooth surface. Two applied forces act on…

Q: weightlifter pulls a 200 kg chunk of stone with constant velocity of 0.75 m/s on a horizontal…

Q: 1A. Create a force diagram of a system car and mass hanger as they move together? 1B. How does the…

A: SOlution:

Q: m 2m three masses of mass m, 2m and M are connected together as shown. The mass of M is such that…

Q: mass 10. kg is pulled with a force of 30. N in the right direction at an angle of 30. degree with…

A: givenm=10 kgF=30 Nθ=30°μ=0.2

Q: The masses of blocks A and B are 4.5 kg and 3.7 kg respectively. The blocks are initially at rest…

A: According to the Newton's second law Net Force = mass x acceleration

Q: A crate is placed on the bed of a truck but is not tied down. The truck accelerates forward, the…

A: A crate is placed on the bed of a truck but is not tied down.The truck accelerates forward, the…

Q: 2. A 10-kg block, initially at rest, is at the top of a rough plane inclined at 10°. The coefficient…

A: As per our policies, I can answer only first three sub-parts of this question.

Q: A 16.0-kg mass and a 2.25-kg mass are connected by a light string over a massless, frictionless…

Q: You need to push a 200 kg box across the floor. You push with your arms at a 30 degree angle below…

A: Consider a box of 200 Kg place on a flat surface and F is the force applied to it.

Q: 1. If the coefficient of kinetic friction between the 150-lb crate and the ground is mk = 0.2,…

A: If an object is being pulled, the frictional force between the object and the ground will act in the…

Q: 15. The left mass is moving down. Draw FBD for each mass. Include friction. m, m2

A: As per our guidelines, we are supposed to answer only first one question in case of multiple…

Q: Which of the following statements is not one of Newton’s Laws on motion? a. In the absence of an…

Q: 2. In this lab you will use a cart that has a fan mounted on it as seen in Figure 1. The fan will…

A: Newton's second law Newton's second law provides a precise explanation of the modifications that a…

Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

100%

The image shows a diagram of a simple mechanical system involving two boxes and an inclined plane.

**Description:**
- **Box A** is positioned on a horizontal surface and is labeled with a mass \( M_A = 30 \, \text{kg} \).
- A pulley system connects Box A to **Box B**, which is resting on an inclined plane.
- **Box B** is labeled with a mass \( M_B = 10 \, \text{kg} \).
- The inclined plane is at an angle of \( 30^\circ \) to the horizontal.

**Diagram Details:**
- The pulley is depicted as a circle, indicating that it guides the connection between Box A and Box B.
- An arrow is shown pointing down the incline from Box B, suggesting the direction of potential movement.

This setup could be used to study dynamics, friction, or mechanical advantage in physics.

**Problem Statement:**

In the figure below, Block A has a mass of 30.0 kg and Block B has a mass of 10.0 kg. Both blocks are resting on frictionless surfaces.

a) Draw the free body diagram and kinetic diagrams of each block.

b) Determine the acceleration of the blocks.

c) Determine the tension in the cord.

**Explanation:**

1. **Free Body Diagram and Kinetic Diagrams:**
- For Block A:
- Forces acting: Tension (T) in the cord pulling horizontally.
- Kinetic diagram: Mass (30.0 kg) and acceleration (a).
- For Block B:
- Forces acting: Tension (T) and gravitational force due to weight (mB * g).
- Kinetic diagram: Mass (10.0 kg) and acceleration (a).

2. **Acceleration of the Blocks:**
- Use Newton’s second law: F = m * a.
- Calculate based on the forces and masses given.

3. **Tension in the Cord:**
- Utilize equations derived from the free body diagrams.
- Consider the relationship between forces and acceleration as they apply to the system.

This problem requires an understanding of basic physics concepts like free body diagrams, Newton’s laws of motion, and tension in cords on frictionless surfaces. Each solution step involves equilibrium analysis and algebra to solve for the unknowns like acceleration and tension.

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

Physics question att
A string, 0.750 m in length, is attached to a hook in the ceiling. A 0.600 kg mass is rotating around the vertical axis and the angle between the vertical axis and the string is 18°. a) Draw the free body diagram and kinetic diagram of the mass. b) Determine the tension in the string. c) Determine the velocity of the mass
3. Consider an inclined plane with two balls suspended as shown below. The pulley has negligible mass and both the pulley and the surface of the incline are frictionless.a. If one of your classmates calculated that, once released, the acceleration of the blocks would be 43?, without doing any calculations, say whether or not this could be a reasonable value for the acceleration.b. Draw and label a free body diagram (FBD) for each ball. (Don’t break any forces into components for the FBDs—save that work for the next question. Be sure your drawings show clearly any information you know about the directions and relative magnitudes of the forces.) Rank the relative magnitudes of all forces in your FBDs. (I’m looking for a single ranking that includes every different force in both FBDs, separated by <, >, or =.)Ball A: Ball B:relative sizes of the magnitudes of all forces in FBDs:__________________________________________________________________c. Use the FBDs from the previous…
a) Make the following a 'free body diagram' by showing all of the force vectors acting on each of the two blocks. 8 m TOUTE M b) Solve for an equation describing the acceleration of the mass M.
Aisha throws a 0.4-kg ball upward.frances, standing on a balcony above Aisha, catches the ball by exerting a 1.8-N downward force on the ball. A) draw a mation diagram and a force diagram for the ball during the time interval when frances is catching it. B) determine the acceleration of the ball.
A 40. kg block is placed on a ramp inclined thirty degrees to the horizontal as seen in the figure below. A horizontal force of 35 Newtons is placed on the block. If the coefficient of static friction is: 4, = 0.65 will the block remain stationary on the ramp or will it slide? 1) Sketch a free-body-diagram for this situation, include an axis. 2) Analyze the free body diagram using Newtons 2nd law. 3) Calculate f 4) Calculate fi marc 5) Draw a conclusion (circle one) F The block slides down the ramp The block remains stationary 30.0⁰ The block slides up the ramp
Blocks A, B and C are placed as shown in the figure below and connected by non-stretching ropes of negligible mass. Both A and B weigh 25.0 N each, and the coefficient of kinetic friction between each block an the surface is 0.35. Block C descends with constant velocity. a). Draw three separate free body diagrams showing the forces acting on A, B and C. b). Find the tension in the rope connecting blocks A and B. c). What is the weight of block C? d). If the rope connecting A and B were cut, what would be the acceleration of C? B C A 36.9° 2012 Pearson Education, Inc.
Researchers often use force plates to measure the forces that people exert against the floor during movement. A force plate works like a bathroom scale, but it keeps a record of how the reading changes with time. Shown is the data from a force plate as a woman jumps straight up and then lands.a. What was the vertical component of her acceleration during push-off?b. What was the vertical component of her acceleration while in the air?c. What was the vertical component of her acceleration during the landing?d. What was her speed as her feet left the force plate?e. How high did she jump?
Assume the three blocks move on a frictionless surface and a 42-N force acts as shown on the 3.0-kg block. a. Draw a free-body diagram on each, account for every force (the basic diagram is attached below) b. Determine the acceleration of this system c. the tension in the cord connecting the 3.0-kg and the 1.0-kg blocks