A 7.50 kg bowling ball moving 6.42 m/s strikes a 1.60 kg bowling pin at rest. After, the ball moves 5.43 m/s at a 12.0 deg. angle. ?

Question

What is the x-component and y-component of the pin's final velocity?

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Answer 1

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Assuming the original component is along the x-axis:

y-component: 0 = 7.50kg*5.43m/s*sin12.0º + 1.60kg*Vy

→ Vy = -5.29 m/s (you might not need the sign)

x-component:

7.50kg*6.42m/s = 7.50kg*5.43m/s*cos12.0º + 1.60kg*Vx

→ Vx = 5.20 m/s

Answer 2

x component: 5.43 cos(12)

y component: 5.43 sin(12)

Put them on calculator and do not forget units m/s