momentum-Impulse bat and baseball A 214 g baseball moving 52 m/s collides with a

Question

momentum-Impulse bat and baseball

A 214 g baseball moving 52 m/s collides with a 1235 g bat moving 49 m/s in the opposite direction is in contact for 0.0051 sec and ricochets off with the bat moving 8.3 m/s in the original direction of motion such that all of the impact motion is along a 1 -d line with a bat diameter of 4.8 cm. Baseball Momentum-Impulse Bar Chart Sketch the collision and label the corresponding coordinate system to identify the signs and magnitudes of momentum, velocity, force and acceleration vectors. What is the initial momentum vector of the baseball?: What is the initial momentum vector of the bat?: What is the final momentum vector of the bat?: What is the impulse from the collision on the baseball?: Sketch the momentum and impulse values for the baseball as a bar chart in the graph above. What is the average force vector on the bat?:

Explanation / Answer

mass of the base ball, m1 = 0.214 kg

i am assuming initially the ball is moving in -s direction.

u1 = -52 m/s

mass of the bat, m2 = 1.235 kg, intial velocity, u2 = 49 m/s

t = 0.0051 s

final velocity of the bat, v2 = 8.3 m/s


A)

B) P1i = m1*u1 = 0.214*(-52) = -11.128 kg.m/s i (-x direction)

C) P2i = m2*u2 = 1.235*49 = 60.515 kg.m/s i (+x direction)

d) P2f = m2*v2 = 1.235*8.3 = 10.25 kg.m/s i (+x direction)

E)

imulse = chnage in momentum

= p1f - p1i

= 39.137 - (-11.128)

= 50.265 kg.m/s


G) impulse = F*t

F = impulse/t = 50.265/0.0051 = 9865 N i ( in +x direction)

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