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Chapter 4: Q4.3-3PE (page 161)

A cleaner pushes a 4.50-kg laundry cart in such a way that the net external force on it is 60.0 N. Calculate the magnitude of its acceleration.

Short Answer

Expert verified

The magnitude of the acceleration is13.334 m/s2.

Step by step solution

01

Concept of Newton’s second law of motion.

The Newton’s second law of motion states that the acceleration of a system is directly proportional to the net external force acting on the system and is inversely proportional to the mass of the system. It is mathematically presented as:

Fnet=ma .........................(i)

where Fnet is the net force, m is the mass, and a is the acceleration.

02

Given Data

  • Mass of the laundry cart = 45 kg.
  • Net external force = 60 N.
03

Determine the magnitude of the acceleration of the cart.

Substitute4.5 kg form and60 N forFnet in equation (i), and we get,

60 N=4.5 kg×aa=60 kg⋅m/s24.5 kga=13.334 m/s2

Hence, the magnitude of the acceleration of the cart is13.334 m/s2.

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Most popular questions from this chapter

When you take off in a jet aircraft, there is a sensation of being pushed back into the seat. Explain why you move backward in the seat—is there really a force backward on you? (The same reasoning explains whiplash injuries, in which the head is apparently thrown backward.)

Integrated Concepts

An elevator filled with passengers has a mass of 1700 kg.

(a) The elevator accelerates upward from rest at a rate of 1.20 m/s2 for 1.50 s. Calculate the tension in the cable supporting the elevator.

(b) The elevator continues upward at constant velocity for 8.50 s. What is the tension in the cable during this time?

(c) The elevator decelerates at a rate of 0.600 m/s2 for 3.00 s. What is the tension in the cable during deceleration?

(d) How high has the elevator moved above its original starting point, and what is its final velocity?

What is the relationship between weight and mass? Which is an intrinsic, unchanging property of a body?

Newton’s third law of motion tells us that forces always occur in pairs of equal and opposite magnitude. Explain how the choice of the “system of interest” affects whether one such pair of forces cancels.

Unreasonable Results

A 75.0-kg man stands on a bathroom scale in an elevator that accelerates from rest to 30.0 m/s in 2.00 s.

(a) Calculate the scale reading in newtons and compare it with his weight. (The scale exerts an upward force on him equal to its reading.)

(b) What is unreasonable about the result?

(c) Which premise is unreasonable, or which premises are inconsistent?
See all solutions

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