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

ID: 1470871 • Letter: 1

Question

14. 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 7.50 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. (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. (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?

(Please show all workings and solutions)

Explanation / Answer

(a)
Impulse is given by,
F*t = m*v

Initial Velocity = 10m/s
Final Velocity = 0
Distance = 7.5 * 10^-2 m

v^2 = u^ -2 *a*s
a = 10^2/(2 *7.5 * 10^-2 )
a = 666.7 m/s^2

Force = mass * Acceleration
Force = 7.00 * 666.7 N
Force = 4667 N

(b)
Initial Velocity = 10m/s
Final Velocity = 0
Distance = 2.0 * 10^-2 m

v^2 = u^ -2 *a*s
a = 10^2/(2 *2.0 * 10^-2 )
a = 2500 m/s^2

Force = mass * Acceleration
Force = 7.00 * 2500 N
Force = 17500 N

(c)
Magnitude of the force with glove on = 4667 N
Yes the Force is still pretty high to do Good damage.

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