(a) Determine the impulse delivered to the ball. (b) If the force on the ball in
ID: 2140301 • Letter: #
Question
(a) Determine the impulse delivered to the ball.
(b) If the force on the ball increases linearly for 4.00 ms, holds constant for 20.0 ms, and then decreases linearly to zero in another 4.00 ms, what is the maximum force on the ball?
In a slow-pitch softball game, a 0.200-kg softball crosses the plate at 10.0 m/s at an angle of 40.0 degree below the horizontal. The batter hits the ball toward center field, giving it a velocity of 44.0 degree m/s at 30.0 degree above the horizontal. (Take positive to be the horizontal direction from the plate toward center field and take positive to be the upward vertical direction.) Determine the impulse delivered to the ball. If the force on the ball increases linearly for 4.00 ms, holds constant for 20.0 ms, and then decreases linearly to zero in another 4.00 ms, what is the maximum force on the ball?Explanation / Answer
Impulse will equal a change in momentum.
Assume "toward center field" and "up" are the positive directions
?p = m(vf - vi)
change in horizontal momentum
vh = horizontal velocity
?ph = m?vh
?ph = m(vhf - vhi)
?ph = m(44cos40 - (-10cos30))
?ph = m(44cos40 + 10cos30)
?ph = m(42.37)
change in vertical momentum
vv = vertical velocity
?pv = m?vv
?pv = m(vvf - vvi)
?pv = m(44sin40 - (-10sin30))
?pv = m(44sin40 + 10sin30)
?pv = m(33.28)
total momentum change = impulse is
?p = ?pv
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