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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

An American football lineman reasons that it is senseless to try to out-push the opposing player, since no matter how hard he pushes he will experience an equal and opposite force from the other player. Use Newton’s laws and draw a free-body diagram of an appropriate system to explain how he can still out-push the opposition if he is strong enough.

(a) If the rocket sled shown in Figure 4.32 starts with only one rocket burning, what is the magnitude of its acceleration? Assume that the mass of the system is 2100 kg, the thrust T is 2.4×104 N, and the force of friction opposing the motion is known to be 650 N.

(b) Why is the acceleration not one-fourth of what it is with all rockets burning?

Describe a situation in which one system exerts a force on another and, as a consequence, experiences a force that is equal in magnitude and opposite in direction. Which of Newton’s laws of motion apply?

How are inertia and mass related?

Suppose a 60.0-kg gymnast climbs a rope.

(a) What is the tension in the rope if he climbs at a constant speed?

(b) What is the tension in the rope if he accelerates upward at a rate of 1.50 m/s2?
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