An m = 61.0-kg person running at an initial speed of v = 4.40 m/s jumps onto an M = 122-kg cart initially at rest (figure below). The person slides on the cart's top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the person and the cart is 0.340. Friction between the cart and ground can be ignored. (Let the positive direction be to the right.) m (a) Find the final velocity of the person and cart relative to the ground. (Indicate the direction with the sign of your answer.) m/s (b) Find the friction force acting on the person while he is sliding across the top surface of the cart. (Indicate the direction with the sign of your answer.) N (c) How long does the friction force act on the person? S M (d) Find the change in momentum of the person. (Indicate the direction with the sign of your answer.) N.S Find the change in momentum of the cart. (Indicate the direction with the sign of your answer.) N.S (e) Determine the displacement of the person relative to the ground while he is sliding on the cart. (Indicate the direction with the sign of your answer.) m (f) Determine the displacement of the cart relative to the ground while the person is sliding. (Indicate the direction with the sign of your answer.) m (g) Find the change in kinetic energy of the person. (h) Find the change in kinetic energy of the cart. | J
An m = 61.0-kg person running at an initial speed of v = 4.40 m/s jumps onto an M = 122-kg cart initially at rest (figure below). The person slides on the cart's top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the person and the cart is 0.340. Friction between the cart and ground can be ignored. (Let the positive direction be to the right.) m (a) Find the final velocity of the person and cart relative to the ground. (Indicate the direction with the sign of your answer.) m/s (b) Find the friction force acting on the person while he is sliding across the top surface of the cart. (Indicate the direction with the sign of your answer.) N (c) How long does the friction force act on the person? S M (d) Find the change in momentum of the person. (Indicate the direction with the sign of your answer.) N.S Find the change in momentum of the cart. (Indicate the direction with the sign of your answer.) N.S (e) Determine the displacement of the person relative to the ground while he is sliding on the cart. (Indicate the direction with the sign of your answer.) m (f) Determine the displacement of the cart relative to the ground while the person is sliding. (Indicate the direction with the sign of your answer.) m (g) Find the change in kinetic energy of the person. (h) Find the change in kinetic energy of the cart. | J
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)...
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![An \( m = 61.0 \)-kg person running at an initial speed of \( v = 4.40 \, \text{m/s} \) jumps onto an \( M = 122 \)-kg cart initially at rest (figure below). The person slides on the cart’s top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the person and the cart is 0.340. Friction between the cart and ground can be ignored. (Let the positive direction be to the right.)
**Diagram Description**:
A person runs towards a cart, represented as a box on wheels. The person is depicted jumping onto the cart from the left side. The positive direction is to the right.
**Questions to Solve**:
(a) Find the final velocity of the person and cart relative to the ground. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{m/s} \, \,} \]
(b) Find the friction force acting on the person while he is sliding across the top surface of the cart. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{N} \, \,} \]
(c) How long does the friction force act on the person?
\[ \boxed{\, \, \text{s} \, \,} \]
(d) Find the change in momentum of the person. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{N} \cdot \text{s} \, \,} \]
Find the change in momentum of the cart. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{N} \cdot \text{s} \, \,} \]
(e) Determine the displacement of the person relative to the ground while he is sliding on the cart. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{m} \, \,} \]
(f) Determine the displacement of the cart relative to the ground while the person is sliding. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{m} \, \,} \]
(g) Find the change in kinetic energy of the person.
\[ \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08aa0b19-cba0-4fd4-b1f6-356b8c0f7ad5%2F92ad75db-9583-4eae-87cc-ea903a1faaba%2Fd4nc8br_processed.png&w=3840&q=75)
Transcribed Image Text:An \( m = 61.0 \)-kg person running at an initial speed of \( v = 4.40 \, \text{m/s} \) jumps onto an \( M = 122 \)-kg cart initially at rest (figure below). The person slides on the cart’s top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the person and the cart is 0.340. Friction between the cart and ground can be ignored. (Let the positive direction be to the right.)
**Diagram Description**:
A person runs towards a cart, represented as a box on wheels. The person is depicted jumping onto the cart from the left side. The positive direction is to the right.
**Questions to Solve**:
(a) Find the final velocity of the person and cart relative to the ground. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{m/s} \, \,} \]
(b) Find the friction force acting on the person while he is sliding across the top surface of the cart. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{N} \, \,} \]
(c) How long does the friction force act on the person?
\[ \boxed{\, \, \text{s} \, \,} \]
(d) Find the change in momentum of the person. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{N} \cdot \text{s} \, \,} \]
Find the change in momentum of the cart. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{N} \cdot \text{s} \, \,} \]
(e) Determine the displacement of the person relative to the ground while he is sliding on the cart. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{m} \, \,} \]
(f) Determine the displacement of the cart relative to the ground while the person is sliding. (Indicate the direction with the sign of your answer.)
\[ \boxed{\, \, \text{m} \, \,} \]
(g) Find the change in kinetic energy of the person.
\[ \
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