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Chapter 5: Q no. 8 (page 127)

An object experiencing a constant force accelerates at 8m/s2.

What will the acceleration of this object be if

a. The force is halved? Explain.

b. The mass is halved?

c. The force is halved and the mass is halved?

Short Answer

Expert verified

(a) When the force is halved, acceleration will be 4m/s2.

(b) When the mass is halved, acceleration will be 16m/s2.

(c) When both the force and mass is halved, acceleration will be8m/s2.

Step by step solution

01

Part (a) Step-1: Given Information 

The expression for acceleration is a=F/m.

02

Part (a) Step 2: Calculation

When the force is halved, for the same mass, the acceleration becomes

a'=(F/2)/m=F/2ma'=a/2

Therefore, the acceleration value is also halved. This value becomes

a'=4m/s2.
03

Part (b) Step-1: Given Information

The expression for acceleration is a=F/m.

04

Part (b) Step 2: Calculation

When the mass is halved, the acceleration becomes

a''=F/(m/2)=2F/ma''=2a

The acceleration value is doubled, and it becomes a''=16m/s2.

05

Part (c) Step 1: Given information

The expression for acceleration is a=F/m.

06

Part (c) Step 2: Calculation

When both the force and the mass are halved,

a'''=(F/2)/(m/2)=F/ma'''=a

The acceleration value remains unchanged at 8m/s2

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Most popular questions from this chapter

Two rubber bands pulling on an object cause it to accelerate at

1.2 m/s2.

a. What will be the object鈥檚 acceleration if it is pulled by four

rubber bands?

b. What will be the acceleration of two of these objects glued

together if they are pulled by two rubber bands?

Problems 35 through 40 show a free-body diagram. For each:

a. Identify the direction of the acceleration vector a鈫�and show it as a vector next to your diagram. Or, if appropriate, write a鈫�=0鈫�b. If possible, identify the direction of the velocity vector and show it as a labeled vector.

c. Write a short description of a real object for which this is the

correct free-body diagram. Use Examples 5.4, 5.5, and 5.6 as

models of what a description should be like.

Problems 42 through 52 describe a situation. For each, draw a motion diagram, a force-identification diagram, and a free-body diagram.

You鈥檝e slammed on the brakes and your car is skidding to a

stop while going down a 20ohill.

If a car stops suddenly, you feel 鈥渢hrown forward.鈥� We鈥檇 like to understand what happens to the passengers as a car stops. Imagine yourself sitting on a very slippery bench inside a car. This bench has no friction, no seat back, and there鈥檚 nothing for you to hold onto. a. Draw a picture and identify all of the forces acting on you as the car travels at a perfectly steady speed on level ground. b. Draw your free-body diagram. Is there a net force on you? If so, in which direction? c. Repeat parts a and b with the car slowing down. d. Describe what happens to you as the car slows down. e. Use Newton鈥檚 laws to explain why you seem to be 鈥渢hrown forward鈥� as the car stops. Is there really a force pushing you forward? f. Suppose now that the bench is not slippery. As the car slows down, you stay on the bench and don鈥檛 slide off. What force is responsible for your deceleration? In which direction does this force point? Include a free-body diagram as part of your answer.

Exercises 24 describe a situation. Identify all forces acting on the object and draw a free-body diagram of the object.

An ice hockey puck glides across frictionless ice.
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