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Question: A bowling ball of mass 8.3 kg moves in a straight line at 1.96 m/s. How fast must a Ping-Pong ball of mass 1.084 g move in a straight line so that the two balls have the same momentum?
The momentum (p) of an object can be calculated using the formula p=mv, where m is the mass and v is the velocity. First, we need to calculate the momentum of the bowling ball: p_bowling = m*v = 8.3 kg*1.96 m/s = 16.268 kg*m/s Then, we need to calculate the velocity of the ping-pong ball needed to achieve the same momentum. However, given the mass of the ping-pong ball is in grams, we need to convert it to kilograms: m_pingpong = 1.084 g = 1.084*10^-3 kg Then, using the momentum formula, we solve for v: v_pingpong = p_bowling/m_pingpong = 16.268 kg*m/s / 1.084*10^-3 kg = 15004.425 m/s Therefore, a ping-pong ball of mass 1.084 g must move at an approximate speed of 15004.425 m/s in a straight line to have the same momentum as a bowling ball of mass 8.3 kg moving at 1.96 m/s.
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