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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鈥檚 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鈥凬=4.5鈥刱驳脳aa=60鈥刱驳鈰�m/s24.5鈥刱驳a=13.334鈥刴/蝉2

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

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