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Chapter 6: Q.28 (page 155)

A rubber-wheeled 50kg cart rolls down a 15° concrete incline. What is the cart’s 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, sinθ=15°

localid="1648483374914" FGsin(θ)=Fneta=gsin15∘a=(9.8m/s2×0.259)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

FGsinθ-fr=Fnetfr=μrn=μrmgcosθmgsinθ-μrmgcos15°=maa=(9.8m/s2×0.259)-(0.02×9.8m/s2×0.96)=2.35m/s2

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Most popular questions from this chapter

It’s a snowy day and you’re pulling a friend along a level road on a sled. You’ve both been taking physics, so she asks what you think the coefficient of friction between the sled and the snow is. You’ve been walking at a steady 1.5m/s, and the rope pulls up on the sled at a 30°angle. You estimate that the mass of the sled, with your friend on it, is 60kg and that you’re 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!

Sam, whose mass is 75kg, takes off across level snow on his jet-powered skis. The skis have a thrust of 200N and a coefficient of kinetic friction on snow of 0.10. Unfortunately, the skis run out of fuel after only10 s.

a. What is Sam’s top speed?

b. How far has Sam traveled when he finally coasts to a stop?

A truck with a heavy load has a total mass of 7500kg. It is climbing a 15°incline at a steady 15m/s when, unfortunately, the poorly secured load falls off! Immediately after losing the load, the truck begins to accelerate at 1.5 m/s2. What was the mass of the load? Ignore rolling friction.

FIGURE EX6.10shows the velocity graph of a 2.0kgobject as it moves along the x-axis. What is the net force acting on this object at t=1s? At 4s? At 7s?
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