Question

Boxers wear gloves that are padded to lessen the force of a punch. Calculate the force exerted by a boxing glove on an opponent's face, if the glove and face compress 8.50 cm during a blow in which the 7.00-kg arm and glove are brought to rest from an initial speed of 10.0 m/s. Give your answer in Newtons, do not include the unit in your answer.

Answer 1

F = 4117.64

Step-by-step explanation:

First, we will calculate the acceleration of the hand, by using the third equation of motion:

`2as = v_f^2 - v_i^2\\`

where,

a = acceleration = ?

s = distance covered = compression = 8.5 cm = 0.085 m

vf = final speed = 0 m/s

vi = iniial speed = 10 m/s

Therefore,

`2a(0.085\ m) = (0\ m/s)^2-(10\ m/s)^2\\a = - 588.23\ m/s^2`

negative sign hows deceleration.

Now, we will calculate the force exerted by the hand:

`F = ma = (7\ kg)(588.23\ m/s^2)\\`

F = 4117.64 N