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Unless otherwise stated, all objects are located near the Earth\'s surface, wher

ID: 2186603 • Letter: U

Question

Unless otherwise stated, all objects are located near the Earth's surface, where = 9.80 . In an emergency stop to avoid an accident, a shoulder-strap seatbelt holds a 70 passenger in place. If the car was initially traveling at 98 and came to a stop in 5.5 along a straight, level road, what was the magnitude of the average force applied to the passenger by the seatbelt? Express your answer using two significant figures. What was the direction of the average force applied to the passenger by the seatbelt? perpendicular to the motion or the velocity opposite to the motion or the velocity the same as the motion or the velocity

Explanation / Answer

Draw a free body diagram about each mass and apply Newton's Laws For m1 summing forces T - m1*g = m1*a so T = m1*g + m1*a Now for m2 m2*g - T = m2*a or T = m2*g -m2*a Now equate both eqns and get m1*g + m1*a = m2*g - m2*a So (m1 + m2)*a = (m2 - m1)*g So a = (m2 - m1)*g/(m1 + m2) The acceleration is the same for both masses

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