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Q2 A baby drops a. 25 kg block out of a high rise window
Q2 A baby drops a .25 kg block out of a high rise window. What is the force on Earth due to the block, and what is Earth’s resulting acceleration? The mass of Earth is 6.0 x kg. mblock = kg earth = 6.0 x kg g = 9.8 m/s2 F earth on block = ? aearth = ? F earth on block = mblock a = .25 kg (-9.8 m/s2) F earth on block = kg*m/s2 = N
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F earth on block = -2.54 N (from 1st problem solved)
Use Newton’s third Law to find F block on earth mblock = kg m earth = 6.0 x kg F earth on block = N (from 1st problem solved) F block on earth = -F earth on block F block on earth = -(-2.54N) F block on earth = 2.54 N F earth on ball =
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Substitute: Fnet = m earth a earth 2.54 N = 6.0 x 10 24 kg * a earth
Use Newton’s Second law to find the aearth because of the net force caused by the block hitting it. Fnet = 2.54 N m earth = 6.0 x kg Substitute: Fnet = m earth a earth 2.54 N = 6.0 x kg * a earth 6.0 x kg x kg 4.2 X N/kg = a earth 3 X m/s 2 = a earth kg * m/s2 kg
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