Boxing gloves are padded to lessen the force of a blow. (a) Calculate the force

Question

Boxing gloves are padded to lessen the force of a blow.

(a) Calculate the force exerted by a boxing glove on an opponent's face, if the glove and face compress 6.00 cm during a blow in which the 8.00 kg arm and glove are brought to rest from an initial speed of 10.0 m/s.
_______N
(b) Calculate the force exerted by an identical blow in the gory old days when no gloves were used and the knuckles and face would compress only 2.00 cm. (Assume the total mass of the arm remains 8.00 kg.)
_______N
(c) Discuss the magnitude of the force with glove on. Does it seem high enough to cause damage even though it is lower than the force with no glove?

Explanation / Answer

a)

Here , let the force is F

Now, using work energy theorum ,

F*d = 0.5 * m*v^2

F * 0.06 = 0.5 * 8 * 10^2

F = 6666.7 N

the force of impact is 6666.7 N

b)

for no gloves

Now, using work energy theorum ,

F*d = 0.5 * m*v^2

F * 0.02 = 0.5 * 8 * 10^2

F = 20000 N

the force of impact is 20000 N

c)

the force with gloves is also quite high and it can cause a lot of damage even this is lower than the frce with gloves

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