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Chapter 9: Q.68 (page 230)

In Problems 67 through 69 you are given the equation(s) used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation(s).

b. Draw a pictorial representation.

c. Finish the solution of the problem

Fpush-(0.20)(30kg)(9.8m/s2)=075W=Fpushv

Short Answer

Expert verified

a. The mass is 20kg, the coefficient of kinetic friction isrole="math" localid="1647861976929" 0.15.

b. The pictorial presentation is as follow:

c. The velocity is 6.3m/s.

Step by step solution

01

Content Introduction

Mass is a fundamental feature of all matter, and mass is a quantitative measure of it. A force is a push or pull on an object caused by the interaction of the thing with another object.

02

Explanation (Part a)

The mass is 20kg,the coefficient of kinetic force isrole="math" localid="1647861968818" 0.15.

03

Explanation (Part b)

The pictorial presentation is as follow:

04

Explanation (Part c)

The velocity is calculated as follow:

12[(20kg)v12+0_(0.15)(20kg)(9.8m/s2)cos40°2.5msin40°]=0+(20kg)(9.8m/s2)(2.5m)+0v12=40.2m2/s2v1=6.3m/s

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Most popular questions from this chapter

Susan’s 10 kg baby brother Paul sits on a mat. Susan pulls the mat across the floor using a rope that is angled 30°above the floor. The tension is a constant 30N and the coefficient of friction is 0.20. Use work and energy to find Paul’s speed after being pulled3.0 m.

A 45g bug is hovering in the air. A gust of wind exerts a force role="math" localid="1648061852575" F→=(4.0i^-6.0j^)×10-2N on the bug.

a. How much work is done by the wind as the bug undergoes displacement ∆r→=(2.0i^-2.0j^)m?

b. What is the bug’s speed at the end of this displacement? Assume that the speed is due entirely to the wind.

You need to raise a heavy block by pulling it with a massless rope. You can either (a) pull the block straight up height h, or (b) pull it up a long, frictionless plane inclined at a 15o angle until its height has increased by h. Assume you will move the block at constant speed either way. Will you do more work in case a or case b? Or is the work the same in both cases? Explain.

a. Starting from rest, a crate of mass mis pushed up a frictionless slope of angle θby a horizontal force of magnitude F. Use work and energy to find an expression for the crate’s speed vwhen it is at height habove the bottom of the slope.

b. Doug uses a 25N horizontal force to push a 5.0kg crate up a 2.0-m-high,20° frictionless slope. What is the speed of the crate at the top of the slope?

Which has the larger kinetic energy, a 10 g bullet fired at
500 m/s or a 75 kg student running at 5.5 m/s?
See all solutions

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