Question

2 Baseball A pitcher throws a baseball at 90 mph (40 m/s). Suppose that the pitcher takes At-0.07 s to accelerate the ball. (a) (10 pts) Find the acceleration of the ball during the throwing motion, in m/s2. Hint (b) (10 pts) How many times larger than g is the acceleration of the bal? You should (b) (10 pts) A baseball has a mass of 0.14 kg. Estimate the force exerted by the pitcher assume the acceleration is constant so that the velocity change equals Δν = a × Δ find approximately 54g. A human can (probably) survive 25g for 1 second. on the ball (hint: make the same assumption as in part a).

Answer 1

Acceleration and force of ball through by pitcher

Acceleration and force of ball through by pitcher Using motion equation v (t) = v_0 + at 40 m/s = 0 + a times 0.07s a = 40/0.07s = 533.33 a = 533.33 m/s^2 a/g = 533.33/9.81 a/g = 54.366 a = 54.366 g Force F = ma = 0.14 times 533.33 F = 74.667 N