   Chapter 4, Problem 19P

Chapter
Section
Textbook Problem

Calculate the magnitude of the normal force on a 15.0-kg block in the following circumstances: (a) The block is resting on a level surface. (b) The block is resting on a surface tilted up at a 30.0° angle with respect to the horizontal. (c) The block is resting on the floor of an elevator that is accelerating upwards at 3.00 m/s2. (d) The block is on a level surface and a force of 125 N is exerted on it at an angle of 30.0° above the horizontal.

(a)

To determine
The normal force on a block resting on a surface.

Explanation

Given info: The mass of the object is 15.0 kg.

When the object rests on the surface, no horizontal normal forces act on it. The normal force balances the weight of the block. The free body diagram is given below.

From the above diagram,

N=mg

• m is the mass of the block.
• g is the acceleration due to gravity.

Conclusion:

Substitute 15.0 kg for m and 9

(b)

To determine
The normal force on a block resting on an inclined plane.

(c)

To determine
The normal force on a block resting on the elevator.

(d)

To determine
The normal force on a block resting on the elevator.

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