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 8.50 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 8.50 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) Work energy theorem

F d = 0.5 m u^2

F = 0.5 m u^2 / d

F = 0.5 x 8.5 x 10^2 / 0.06 = 7083.33 N

Force exerted = 7083.33 N

(b) F = 0.5 m u^2 / d

F = 0.5 x 8.5 x 10^2 / 0.02 = 21250 N

Force exerted = 21250 N

(c) magnitude of force with glove on is lower because the gloves slows down the momentum .

It doesnt seem to cause the same damage without gloves since the gloves are softer and layer between the face and fist is occupied by the glove which reduces the damage

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