**Problem Statement:**A 5 kg body resting on a 30° inclined plane is pulled up the plane by a 40 N force acting at an angle of 20° with respect to the surface of the plane. The coefficient of friction is 0.1.**Tasks:**a) Draw a free body diagram (F.B.D.) identifying all the forces acting on the body. **Explanation:** - Show the gravitational force acting downward. - Indicate the normal force perpendicular to the inclined plane. - Display the applied force at a 20° angle to the plane. - Include the frictional force opposing the motion.b) Reconstruct the F.B.D. to reflect all the forces in terms of x’ and y’ (parallel and perpendicular) components. **Explanation:** - Resolve the gravitational force into components parallel and perpendicular to the plane. - Resolve the applied force into parallel and perpendicular components. - Show the frictional force acting parallel to the plane.c) Find an expression for the frictional force. Then, indicate all forces that directly affect the motion of the body on the final rendition of the F.B.D. (i.e., x’ component). **Explanation:** - Calculate the frictional force using the formula \( f = \mu \times N \), where \( \mu \) is the coefficient of friction and \( N \) is the normal force. - Identify and label the forces affecting motion along the plane, such as parallel components of the gravitational and applied forces and the frictional force.**Graphs/Diagrams:**- F.B.D. for part (a): A diagram showing all the forces with appropriate labels and directions.- F.B.D. for part (b): The same diagram with forces resolved into components, including vectors along the x’ and y’ axes.- F.B.D. for part (c): Forces affecting motion are highlighted, showing the resultant force along the plane.

Answered: Image /qna-images/answer/47cfee83-9783-45e8-80a2-a0746beca1fc.jpg

2. A 5 kg body resting on a 30° inclined plane is pulled up the plane by a 40N force acting at an angle of 20° with respect to the surface of the plane. The coefficient of the friction is 0.1 a) Draw a free body diagram identifying all the forces acting on the body. F.B.D. Explanations b) Reconstruct the F.B.D. so as to reflect all the forces in terms of x' and y' (parallel and perpendicular) components. F.B.D. Explanations c) Find an expression for the frictional force. Then, indicate all forces that directly affect the motion of the body on the final rendition of the F.B.D. (i.e. x' component). F.B.D. Explanations

2. A 5 kg body resting on a 30° inclined plane is pulled up the plane by a 40N force acting at an angle of 20° with respect to the surface of the plane. The coefficient of the friction is 0.1 a) Draw a free body diagram identifying all the forces acting on the body. F.B.D. Explanations b) Reconstruct the F.B.D. so as to reflect all the forces in terms of x' and y' (parallel and perpendicular) components. F.B.D. Explanations c) Find an expression for the frictional force. Then, indicate all forces that directly affect the motion of the body on the final rendition of the F.B.D. (i.e. x' component). F.B.D. Explanations

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: When two objects are in contact with no relative motion, which of the following statements about the…

A: When the two systems are in contact and moving relative to one another, then the friction between…

Q: 2. A 20 kg box sitting on a horizontal surface is pulled by a horizontal force of 110 N. The…

Q: Think of a new situation where an object is in equilibrium, but it is still moving. a) Briefly…

A: The specific situation where an object is in equilibrium (i.e. the net force acting on it is zero)…

Q: 20° 2) Last summer my lawn tractor broke its transmission drive belt, and I had to push it back to…

A: Given Weight (Mg) = 2100 N. Angle made with horizontal = 20 degrees. Co-efficient of static…

Q: Sam pushes a crate across a level floor at a constant speed with a horizontal force. Gravity,…

A: 1) The net force acting on the crate is, F-f=FnetF-f=maa=0, constant speedF-f=0F=f thus, . The force…

Q: Cabinet of mass (40 kg) rests on a rough horizontal floor. If you pulled the cabinet with a…

A: Here given the mass of cabinet is 40 kg. It pulled by a horizontal force 200 N. The coefficient of…

Q: When a force of 300. 0 N is applied to a 20.0 kg object that experiences 200.0 N of friction a.…

Q: A 6.1-kg bowling ball and a 7.0-kg bowling ball rest on a rack 0.78 m apart. Part A What is the…

Q: A 62-kg skier speeds down a trail, as shown in the figure. The surface is smooth and inclined at an…

A: a) Free body diagram of the Skier:

Q: 1. A 5 kg body resting on a 30° inclined plane is pushed by an applied force of 40N acting…

A: (a) Draw a free-body diagram of the object.

Q: A 15kg object is being pushed to the right across a surface, that has a coefficient friction of…

Q: A pig is hanging from a string and moving in a horizontal (conical) circle. A. Describe which forces…

Q: Construct free-body diagrams for the following physical situations. a. A picture hangs symmetrically…

A: Given: a. A picture hangs symmetrically by two wires oriented at angles to the vertical. b. A large…

Q: 2. A 10 kg ball is projected up a 10°- incline with a speed of 20 m/s. i. Draw the free-body diagram…

A: A 10 kg ball is projected up a 100 inclined with a speed of 20m/s

Q: Which statement describes the effect of an inclined plane on the amount of force required to push an…

A: let F is the force to push the object on horizontal surface but on inclined plane , force is…

Q: 6. A book is initially at rest on a table and it starts to move forward. Which of the following best…

A: According to Newton's first law if a body is at rest it will remain at rest and if it is in motion…

Q: The International Space Station has a mass of approximately 370,000 kg. a. What is the force on a…

A: It is given that, m1=130 kgm2=370000 kgG=6.67×10-11 N.m2/kg2r=22 m

Q: Draw a free-body diagram that includes the vertical and horizontal forces. b) What is the normal…

Q: which of the following is true about support force. Choose all that apply. A. An object is in…

A: Required To chose the correct statements about support force.

Q: 1. A car of mass 1000.0 kg is stationary on a slope forming an angle = 20° with the horizontal line.…

Q: A box remains stationary after it has been placed on a ramp inclined to the horizontal. Which of the…

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…

Q: 2. A hand is pushing a 16N "PHYSICS" book against a wall; the coefficient of static friction between…

Q: mass of 25 kg wooden crate is placed on a metal incline that makes an angle of 37 ̊ relative to the…

Q: A heavy ball is thrown straight upward. After the ball leaves the thrower's hand, what forces act on…

A: When the thrower throws the ball, the only force acting on ball is force of gravity which is…

Q: The coefficient of kinetic friction is equal to the force of kinetic friction divided by a. the…

A: (1) Write the relationship between kinetic friction and the normal force. f=μkNμk=fN Thus, the…

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

**Problem Statement:**

A 5 kg body resting on a 30° inclined plane is pulled up the plane by a 40 N force acting at an angle of 20° with respect to the surface of the plane. The coefficient of friction is 0.1.

**Tasks:**

a) Draw a free body diagram (F.B.D.) identifying all the forces acting on the body.

**Explanation:**
- Show the gravitational force acting downward.
- Indicate the normal force perpendicular to the inclined plane.
- Display the applied force at a 20° angle to the plane.
- Include the frictional force opposing the motion.

b) Reconstruct the F.B.D. to reflect all the forces in terms of x’ and y’ (parallel and perpendicular) components.

**Explanation:**
- Resolve the gravitational force into components parallel and perpendicular to the plane.
- Resolve the applied force into parallel and perpendicular components.
- Show the frictional force acting parallel to the plane.

c) Find an expression for the frictional force. Then, indicate all forces that directly affect the motion of the body on the final rendition of the F.B.D. (i.e., x’ component).

**Explanation:**
- Calculate the frictional force using the formula \( f = \mu \times N \), where \( \mu \) is the coefficient of friction and \( N \) is the normal force.
- Identify and label the forces affecting motion along the plane, such as parallel components of the gravitational and applied forces and the frictional force.

**Graphs/Diagrams:**

- F.B.D. for part (a): A diagram showing all the forces with appropriate labels and directions.
- F.B.D. for part (b): The same diagram with forces resolved into components, including vectors along the x’ and y’ axes.
- F.B.D. for part (c): Forces affecting motion are highlighted, showing the resultant force along the plane.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

1.
2. A 10. Kg box pulled with a 40. N force at an angle of 20. degrees above the horizontal. The coefficient of kinetic friction is 0.20. Note it is moving along the table top. a) Draw a FBD showing all forces and the components of the pulling force. b) Determine the normal force. c) Determine force of friction acting on the box. d) Determine the acceleration of the box. e) Assume the box started from rest and was pulled for 2.0 seconds. Then the pulling force was removed. (i) Find the speed of the box after the 2.0 seconds. (ii) Determine how long it took for the box to come to rest after the pulling force was removed. 10kg -> 40N <200
7. Using two ropes, Eric and Arya pull Josh on a skateboard. There is an angle of 35° between Eric and Arya. Eric pulls with a force of 300N and the resultant force is 500N. Determine the angle the resultant force makes with Eric's force. Include a detailed diagram. a. b. With what force is Arya pulling the skateboard?
Weight is one type of forces, it is a vector ( magnitude and direction, always vertically downward). it is an extrinsic properties, depending on surroundings. While Mass is a scalar, not depending on its surroundings. a. True b. False
A worker pulls a crate of mass, m, via a uniform, massless cable that is attached to the crate at an angle, θ, above the horizontal. The resultant tension in the cable is T. What is the normal force acting on the crate? a. mg b. mg + Tsinθ c. mg - Tcosθ d. mg - Tsinθ e. Tsinθ
while tom pushes a 40 kg box in horizontal direction along the classroom floor with a 100 N force, the box is moving in a straight line with constant speed of 0.5 m/s. Ignor air resistance when answering the questions below. a. Write down as much information as you can about the main horizontal forces exerted on the box ( names, directions and if enough information is given, numerical values). b. Write down as much information as you can about the main vertical forces exerted on the box (names, directions, and whenever possible, if enough information is given, numberical values). c. How far did the refrigerator move during those 3 seconds? Explain d. What was the refrigerator's acceleration during that time? Explain