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Chapter 4: Q22. (page 99)

What would your bathroom scale read if you weighed yourself on an inclined plane? Assume the mechanism functions properly, even at an angle.

Short Answer

Expert verified

The obtained reading on the bathroom scale is Wcosθ.

Step by step solution

01

Step 1. Measurement of Weight

Weight is expressed as the term that indicates the quantity of force applied on a particular component due to an acceleration field. In the SI system, weight is measured in the units of Newton.

The relation of the weight of a person is given by:

W=mg

Here, m is the mass and g is the gravitational acceleration.

02

Step 2. Determine the reading of weight on the bathroom scale

Consider that your weight is W and the angle made by the inclined plane is θ. In this case, while measuring the weight of the body on an inclined plane, the bathroom scale will read the magnitude of the normal force acting between you and the plane, which is Wcosθ.

Thus, Wcosθis the reading of your weight.

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Most popular questions from this chapter

At the instant a race began, a 65 kg sprinter exerted a force of 720 N on the starting block at a 22° angle with respect to the ground. (a) What was the horizontal acceleration of the sprinter? (b) If the force was exerted for 0.32 s, with what speed did the sprinter leave the starting block?

A 0.140-kg baseball traveling at 35.0 m/s strikes the catcher’s mitt, which, in bringing the ball to rest, recoils backward 11.0 can. What was the average force applied by the ball on the glove?

What causes the boat in Fig. 4-41 to move forward?

(a) The force that the man exerts on the paddle

(b) The force that the paddle exerts on the water

(c) The force that the water exerts on the paddle

(d) The motion of the water itself

A bear sling (Fig. 4-40) is used in some national parks for placing backpackers’ food out of the reach of bears. As a backpacker raises the pack by pulling down on the rope, the force F needed

(a) decreases as the pack rises until the rope is straight across.

(b) doesn’t change.

(c) increases until the rope is straight.

(d) increases, but the rope always sags where the pack hangs.

Why is the stopping distance of a truck much shorter than for a train going the same speed?
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