Question

Calculate the magnitude of the force, in newtons, exerted by a boxing glove on an opponent’s face, if the glove and face together compress 7.35 cm during a blow in which the 7.25-kg arm and glove are brought to rest from an initial speed of 10.5 m/s.

Answer 1

Answer:

5437.5 N

Explanation:

from the question we are given the following:

mass = 7.25 kg

initial speed (u) = 10.5 $\frac{m}{s}$

finial velocity (v) = 0

compression (s) = -7.35 cm = -0.0735 m (the negative sign is because the face is compressed, so there is a decrease)

we know that force = mass x acceleration,  

we have our mass but need to find the acceleration. we can get the acceleration by applying the formula below

$v^{2} = u^{2} + 2as$

therefore

0 = 10.5^{2} + (-2)× a × 0.0735[/tex]

a = $\frac{10.5^{2} }{ 2 × 0.0735$}[/tex]

a = 750

from F = m x a

force = 7.25 x 750 = 5437.5 N