Question

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.

A. F = 2400 , {N}
B. F = 3200 , {N}
C. F = 4000 , {N}
D. F = 4800 , {N}

Answer 1

To calculate the force exerted by a boxing glove on an opponent's face, we can use the concept of work.

Step-by-step explanation:

To calculate the force exerted by a boxing glove on an opponent's face, we can use the concept of work. The work done by a force is equal to the force multiplied by the displacement of the object in the direction of the force. In this case, the force will be equal to the change in kinetic energy divided by the displacement.

Using the given information, the initial speed of the arm and glove is 10.0 m/s, and they are brought to rest. The mass of the arm and glove is 7.00 kg. The displacement is 7.50 cm = 0.075 m.

Using the equation for work, we can calculate the force exerted by the boxing glove:

Force = (Change in kinetic energy) / (Displacement)

Change in kinetic energy = 0.5 * mass * (final velocity)^2 - 0.5 * mass * (initial velocity)^2

Since the arm and glove are brought to rest, the final velocity is 0.

Plugging in the values, we get:

Change in kinetic energy = 0.5 * 7.00 kg * (0 m/s)^2 - 0.5 * 7.00 kg * (10.0 m/s)^2 = -350 J

Force = (-350 J) / (0.075 m) = -4667 N

The negative sign indicates that the force is exerted in the opposite direction of the displacement, i.e., towards the person wearing the boxing glove.