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Chapter 4: Q1PE (page 161)

A 63.0 kg sprinter starts a race with an acceleration of 4.20 m/s2. What is the net external force on him?

Short Answer

Expert verified

The net external force is 264.6 N.

Step by step solution

01

Given Data

The given data is listed as below,

  • Mass of the sprinter is, m= 63 kg.

  • Acceleration is, a= 4.20 m/s2.

02

Concept of Newton’s second law of motion

Significant 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. Mathematically,

Fnet=ma 鈥︹�︹��. (i)

Here,

(a).Fnetis the net force

(b). mis the mass

(c).a is the acceleration.

03

Determine the net external force acting on the sprinter

Substitute 63 kg for mand 4.20 m/s2 for a in equation (i),

Fnet=63kg脳4.20m/s2=264.6kg鈥�m/s2=264.6N

Hence, the net external force on him is 264.6 N.

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