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Chapter 5: Q13. (page 131)

Does an apple exert a gravitational force on the Earth? If so, how large a force? Consider an apple (a) attached to a tree and (b) falling.

Short Answer

Expert verified

Yes, the apple will exert a gravitational force on the Earth in both situations.

Step by step solution

01

Step 1. Understanding the gravitational force

In this problem, for evaluating the gravitational force exerting on an apple on the Earth Newton’s second law will applied,

02

Step 2. Determining the gravitational force exerting on the apple attached to a tree

When an apple is attached to a tree, the Earth is experiencing a gravitational force, and this force is equivalent to the force experienced by the apple due to Earth. This condition obeys the third law of Newton.

03

Step 3. Determining the gravitational force exerting on the apple falling from a tree

When an apple is falling from a tree, the Earth is experiencing a gravitational force, which is similar to the weight of the apple. This condition obeys the third law of Newton.

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Most popular questions from this chapter

Two blocks with massesmAandmB, are connected to each other and to a central post by thin rods as shown in Fig. 5–41. The blocks revolve about the post at the same frequency f (revolutions per second) on a frictionless horizontal surface at distancesrAandrBfrom the post. Derive an algebraic expression for the tension in each rod.

FIGURE 5-41. Problem 17

A 0.55-kg ball, attached to the end of a horizontal cord, is revolved in a circle of radius 1.3 m on a frictionless horizontal surface. If the cord will break when the tension in it exceeds 75 N, what is the maximum speed the ball can have?

A child sitting 1.20 m from the center of a merry-go round moves with a speed of1.10m/s.Calculate (a) the centripetal acceleration of the child and (b) the net horizontal force exerted on the childmass=22.5kg.

Every few hundred years most of the planets line up on the same side of the Sun. Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line, Fig. 5–44. The masses aremV=0.815mE,mJ=318mE,mSat=95.1mEand the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. What fraction of the Sun’s force on the Earth is this?

A car drives at steady speed around a perfectly circular track.

(a) The car's acceleration is zero.

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(c) Both the acceleration and net force on the car point outward.

(d) Both the acceleration and net force on the car point inward.

(e) If there is no friction, the acceleration is outward.
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