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. assume the change in mass by removing the glove is negligible. (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?

a) F = 4666.67 N

b) F = 17500 N

c) See it into the explanation.

Explanation:

a) Given info

Mass of the arm, m = 7 Kg

Distance, d = 7.50 cm = 0.075 m

Initial speed, vi = 10.00 m/s

Final speed, vf = 0 m/s

Formulas used:

The work done is calculated by the equation

W = F*d    ⇒   W = - 0.075*F  

where F is the force

The kinetic energy is given by the formula

K = 0.5*m*v²

then

Ki = 0.5*m*vi² = 0.5*(7 Kg)*(10.00 m/s)² = 350 J

Kf = 0.5*m*vf² = 0 J

Calculation:

According to work-energy theorem we get

W = ΔK = Kf - Ki

⇒  - 0.075 m*F = 0 J - 350 J  ⇒  F = 350 J / 0.075 m =  4666.67 N

b) Given info

Mass of the arm, m = 7 Kg

Distance, d = 2.00 cm = 0.02 m

Initial speed, vi = 10.00 m/s

Final speed, vf = 0 m/s

Formulas used:

The work done is calculated by the equation

W = F*d    ⇒   W = - 0.02*F  

where F is the force

The kinetic energy is given by the formula

K = 0.5*m*v²

then

Ki = 0.5*m*vi² = 0.5*(7 Kg)*(10.00 m/s)² = 350 J

Kf = 0.5*m*vf² = 0 J

Calculation:

According to work-energy theorem we get

W = ΔK = Kf - Ki

⇒  - 0.02 m*F = 0 J - 350 J  ⇒  F = 350 J / 0.02 m = 17500 N

c) 17500 N > 4666.67 N

When making use of boxing gloves, the blow will be less painful for both the puncher and the hit. That is, the force of the blow is reduced by the material of the glove.

The gloves reduce the speed of the technique used by the boxer, but also protects them from strong blows.

Larger gloves offer more protection than small ones. The big ones are more padded than the little ones.

Being larger, the force of the blow on the impact takes longer to arrive, thus reducing the impact of the blow.

The force with the glove on is as if a 477 kg (1050 lb) mass were placed on the person’s face. That definitely could do damage, even though it is less than the effective 1790 kg mass of the force with no gloves.

answer: the correct answer is   air pressure at the top of mount everest is higher than at the bottom of the grand canyon.

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explanation: