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A boxer\'s fist and glove have a mass of m = 1.1 kg. The boxer\'s fist can obtai

ID: 1652446 • Letter: A

Question

A boxer's fist and glove have a mass of m = 1.1 kg. The boxer's fist can obtain a speed of v = 5.25 m/s in a time of t = 0.18 s. Randomized Variables m = 1.1 kg v = 5.25 m/s t = 0.18 s (a) Write a symbolic expression for the magnitude of the average acceleration, a_ave, of the boxer's fist, in terms of the variables provided. (b) Find the magnitude of the average acceleration, a_ave, in meters per square second. (c) Write an expression for the magnitude of the average net force, F_b, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) (d) What is the numerical value of F_b, in newtons?

Explanation / Answer

(a)

aavg = v / t

(b)

aavg = 5.25 / 0.18

aavg = 29.16 m/s^2

(c)

Average net force,

Fb = m*v / t

(d)

Fb = 1.1 * 29.16

Fb = 32.083 N