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Chapter 4: Problem 1

A person is standing on a bathroom scale. Which of the following is not a force exerted on the scale: a contact force due to the floor, a contact force due to the person's feet, the weight of the person, the weight of the scale?

Short Answer

Expert verified
Answer: The weight of the person.

Step by step solution

01

Understanding the forces acting on the scale

In this scenario, there are four forces mentioned. Let's try to understand each force's role: 1) contact force due to the floor: This is the normal force exerted by the floor on the scale. 2) contact force due to the person's feet: This is the force exerted by the person's feet on the scale, which is equal to the weight of the person. 3) weight of the person: This is the force due to the person's weight. It's directed towards the center of the Earth and is responsible for the scale readout. 4) weight of the scale: This is the force due to the scale's weight, and it's also directed towards the center of the Earth.
02

Identifying the force not acting on the scale

Let's analyze which force doesn't act on the scale. 1) The contact force due to the floor is acting on the scale to balance out the pressure from the weight above it. 2) The contact force due to the person's feet is acting on the scale as it's the same as the weight of the person. 3) Weight of the person is NOT exerted on the scale itself since the force due to the person's feet already represents the person's weight; thus, this force is redundant. 4) Weight of the scale is exerted on the scale as it's the force exerted by Earth acting on the scale.
03

Answer

Based on our analysis, "the weight of the person" is not a force exerted on the scale because the contact force due to the person's feet already represents the person's weight.

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Most popular questions from this chapter

Two blocks are connected by a lightweight, flexible cord that passes over a frictionless pulley. If \(m_{1}=3.6 \mathrm{kg}\) and \(m_{2}=9.2 \mathrm{kg},\) and block 2 is initially at rest \(140 \mathrm{cm}\) above the floor, how long does it take block 2 to reach the floor?
Find the altitudes above the Earth's surface where Earth's gravitational field strength would be (a) two thirds and (b) one third of its value at the surface. [Hint: First find the radius for each situation; then recall that the altitude is the distance from the surface to a point above the surface. Use proportional reasoning.]
(a) If a spacecraft moves in a straight line between the Earth and the Sun, at what point would the force of gravity on the spacecraft due to the Sun be as large as that due to the Earth? (b) If the spacecraft is close to, but not at, this equilibrium point, does the net force on the spacecraft tend to push it toward or away from the equilibrium point? [Hint: Imagine the spacecraft a small distance \(d\) closer to the Earth and find out which gravitational force is stronger.]
A woman who weighs \(600 \mathrm{N}\) sits on a chair with her feet on the floor and her arms resting on the chair's armrests. The chair weighs $100 \mathrm{N}\(. Each armrest exerts an upward force of \)25 \mathrm{N}$ on her arms. The seat of the chair exerts an upward force of \(500 \mathrm{N}\). (a) What force does the floor exert on her feet? (b) What force does the floor exert on the chair? (c) Consider the woman and the chair to be a single system. Draw an FBD for this system that includes all of the external forces acting on it.
When on the ground, Ian's weight is measured to be 640 N. When Ian is on an elevator, his apparent weight is \(700 \mathrm{N}\). What is the net force on the system (Ian and the elevator) if their combined mass is $1050 \mathrm{kg} ?$
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