Question

A 95 Kg halfback makes a turn on the football field. The halfback sweeps out a path that is a portion of a circle with a radius of 12-meters. The halfback makes a quarter of a turn around the circle in 2.1 seconds. Determine the speed, acceleration and net force acting upon the halfback.

Answer 1

Explanation:

Given A 95 Kg halfback makes a turn on the football field. The halfback sweeps out a path that is a portion of a circle with a radius of 12-meters. The halfback makes a quarter of a turn around the circle in 2.1 seconds. Determine the speed, acceleration and net force acting upon the halfback.

• Mass m = 95 kg
• Radius R = 12 m
• So around the circle is circumference,  
• Makes 1/4th of the circumference in 2.1 secs
• So the equation v = d/t
•                             = (¼ x 2 x π x R) / t
•                              = ½ x 3.14 x 12 / 2.1
•                              = 6 x 3.14 / 2.1
•                         V = 8.97 m/s
• Now for acceleration of halfback the equation will be
•                              a = v^2 / R
•                                 = (8.97)^2 / 12
•                                 = 80.4609 / 12
•                               a = 6.705075 m/s^2
• Now to find the net force acting on the halfback we get
•                     Net force F = m x a
•                                        = 95 kg x 6.705075 m/s^2
•                                        = 636.98 N

Reference link will be

https://brainly.in/question/7347771