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Chapter 6: Q.28 (page 155)

A rubber-wheeled 50kg cart rolls down a 15掳 concrete incline. What is the cart鈥檚 acceleration if rolling friction is

(a) neglected and

(b) included?

Short Answer

Expert verified

a. When the rolling friction in neglected a=2.54m/s2

b. When the rolling friction is includeda=2.35m/s2

Step by step solution

01

Content Introduction

Acceleration, charge at which speed modifications with time, in phrases of each velocity and course. A factor or an item transferring in a immediately line is extended if it hastens or slows down. Motion on a circle is extended even though the velocity is constant, due to the fact the course is usually changing.

02

Explanation (Part a)

The force identification diagram shows:

m=50kgis the mass, sin胃=15掳

localid="1648483374914" FGsin(胃)=Fneta=gsin15鈭�a=(9.8m/s2脳0.259)a=2.54m/s2

03

Explanation (Part b)

The rolling friction try to oppose the motion of the rubber wheel as it acts opposite to direction of motion. The force identification diagram depicts

FGsin胃-fr=Fnetfr=渭rn=渭rmgcos胃mgsin胃-渭rmgcos15掳=maa=(9.8m/s2脳0.259)-(0.02脳9.8m/s2脳0.96)=2.35m/s2

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Most popular questions from this chapter

A rifle with a barrel length of 60cm fires a 10g bullet with a horizontal speed of 400m/s. The bullet strikes a block of wood and penetrates to a depth of 12cm.

a. What resistive force (assumed to be constant) does the wood exert on the bullet?

b. How long does it take the bullet to come to rest?

It鈥檚 a snowy day and you鈥檙e pulling a friend along a level road on a sled. You鈥檝e both been taking physics, so she asks what you think the coefficient of friction between the sled and the snow is. You鈥檝e been walking at a steady 1.5m/s, and the rope pulls up on the sled at a 30掳angle. You estimate that the mass of the sled, with your friend on it, is 60kg and that you鈥檙e pulling with a force of 75N. What answer will you give?

Problems 68 and 69 show a free-body diagram. For each:

a. Write a realistic dynamics problem for which this is the correct free-body diagram. Your problem should ask a question that can be answered with a value of position or velocity (such as "How far?" or "How fast?"), and should give sufficient information to allow a solution.

b. Solve your problem!
  1. Write a realistic problem for which these are the correct equations.
  2. Draw the free-body diagram and the pictorial representation for your problem.
  3. Finish the solution of the problem.
(100N)cos鈦�30鈭�鈭�fk=(20kg)ax

n+(100N)sin鈦�30鈭�鈭�(20kg)(9.80m/s2)=0fk=0.20n.

A 2.0脳107 kg train applies its brakes with the intent of slowing down at a 1.2m/s2 rate. What magnitude force must its brakes provide?
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