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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

(II) A car can decelerate at-3.80m/s2without skidding when coming to rest on a level road. What would its deceleration be if the road is inclined at 9.3° and the car moves uphill? Assume the same static friction coefficient.

Draw the free-body diagram for a basketball player (a) just before leaving the ground on a jump, and (b) while in the air. See Fig. 4–46.

A flatbed truck is carrying a heavy crate. The coefficient of static friction between the crate and the bed of the truck is 0.75. What is the maximum rate at which the driver can decelerate and still avoid having the crate slide against the bed of the truck?

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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
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