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POSSIBLE POINTS: 6.2 A Ball of Mass 0.5 Kg, Initially at Rest, Acquires a Speed of 4m/s Immediately After Being Kicked by a Force of

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POSSIBLE POINTS: 6.2 A ball of mass 0.5 kg, initially at rest, acquires a speed of 4m/s immediately after being kicked by a force of strength 20 N. For how lor did this force act on the ball? 0.1 s 0.01 s 0.2 s 1s D 0.02 s

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Elisabeth élite · Tutor durante 8 años
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Respuesta

To solve this problem, we can use the impulse-momentum theorem, which states that the impulse experienced by an object is equal to the change in momentum of the object.Given information:- Mass of the ball, m = 0.5 kg- Initial velocity of the ball, v_initial = 0 m/s (at rest)- Final velocity of the ball, v_final = 4 m/s- Force applied on the ball, F = 20 NStep 1: Calculate the change in momentum of the ball.Change in momentum = Final momentum - Initial momentumFinal momentum = m × v_final = 0.5 kg × 4 m/s = 2 kg·m/sInitial momentum = m × v_initial = 0.5 kg × 0 m/s = 0 kg·m/sChange in momentum = 2 kg·m/s - 0 kg·m/s = 2 kg·m/sStep 2: Calculate the impulse experienced by the ball.Impulse = Change in momentum = 2 kg·m/sStep 3: Calculate the time duration for which the force acted on the ball.Impulse = Force × TimeTime = Impulse / ForceTime = 2 kg·m/s / 20 N = 0.1 sTherefore, the force acted on the ball for 0.1 s.The correct answer is 0.1 s.