A ball of mass 0.2 kg travelling in a straight line with a speed of 15 m/s along negative x-axis is deflected by a bat at an angle of 30. If the speed of the ball after deflection is 10 m/s. Find the impulse in the ball
Answers
Given info : A ball of mass 0.2 kg travelling in a straight line with a speed of 15 m/s along negative x-axis is deflected by a bat at an angle of 30°.
To find : if the speed of the ball after deflection is 10 m/s. the impulse in the ball is...
solution : mass of ball, m = 0.2 kg
initial velocity of ball, u = -15 i m/s
final velocity of ball, v = -10(cos30° i + sin30° j)
= -10(0.866 i + 0.5 j)
= -8.66 i - 5 j
impulse = change in linear momentum
= final linear momentum - initial linear momentum
= 0.2(-8.66i - 5j) - 0.2(-15 i)
= (1.732 + 3)i - j
magnitude of impulse = √{(4.732)² + (1)²}
= 4.83 Kgm/s
Therefore the impulse of the ball is 4.83 kgm/s.
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