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Chapter 4: Q9. (page 100)

Suppose an object is accelerated by a force of 100 N. Suddenly, a second force of 100 N in the opposite direction is exerted on the object so that the forces cancel. The object

(a) is brought to rest rapidly.

(b) decelerates gradually to rest.

(c) continues at the velocity it had before the second force was applied.

(d) is brought to rest, and then it accelerates in the direction of the second force.

Short Answer

Expert verified

The correct option is (c).

Step by step solution

01

Step 1. Forces on the object

The initial force on the object is 100 N.

The final force on the object is zero.

Assumption:

You can assume that there is not any friction.

02

Step 2. Concept of Newton's first law

Initially, the ball accelerates in the first 100 N force direction, and so the velocity increases.

Finally, the force on the object is zero. Therefore, after applying the second force, the acceleration of the object is zero.

Then, from Newton's first law, you get that the object is moving at a constant velocity in the direction of the first 100 N force.

Hence, the object continues at the velocity it had before the second force was applied.

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Most popular questions from this chapter

(a) You pull a box with a constant force across a frictionless table using an attached rope held horizontally. If you now pull the rope with the same force at an angle to the horizontal (with the box remaining flat on the table), does the acceleration of the box increase, decrease, or remain the same? Explain. (b) What if there is friction?

One 3.2-kg paint bucket is hanging by a massless cord from another 3.2-kg paint bucket, also hanging by a massless cord, as shown in Fig. 4–49. (a) If the buckets are at rest, what is the tension in each cord? (b) If the two buckets are pulled upward with an acceleration of by the upper cord, calculate the tension in each cord.

Estimate the average force exerted by a short-putter on a 7.0 kg shot if the shot is moved through a distance of 2.8 m and is released with a speed of 13 m/s.

(a) IfmA=13.0kg,andmB=5.0kgin Fig. 4–53, determine the acceleration of each block. (b) If initially, it is at rest at 1.250 m from the edge of the table, how long does it take to reach the edge of the table if the system is allowed to move freely? (c) IfmB=1.0kg, how large mustmAbe if the acceleration of the system is to be kept at1100g?

A person pushes a 14.0-kg lawn mower at constant speed with a force ofF=88.0Ndirected along the handle, which is at an angle of 45.0° to the horizontal (Fig. 4–58). (a) Draw the free-body diagram showing all forces acting on the mower. Calculate (b) the horizontal friction force on the mower, then (c) the normal force exerted vertically upward on the mower by the ground. (d) What force must the person exert on the lawn mower to accelerate it from rest to 1.5 m/s in 2.5 seconds, assuming the same friction force?

FIGURE 4-58 Problem 50.
See all solutions

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