1)A grapefruit thrown horizontally at 28.6 m/s from the roofof a building lands

Question

1)A grapefruit thrown horizontally at 28.6 m/s from the roofof a building lands 39.4 m from the base of the building. (The baseis just under the location where the grapefruit was launched.) Howhigh (in m) is the building? ( Answer: 9.30 ×100) 2) A 31-kg weight hangs from a ceiling on a vertical2.4-m-long wire. What horizontal force (in N) would be necessary todisplace its position 0.46 m to one side? ( Answer: 5.93× 101) 1)A grapefruit thrown horizontally at 28.6 m/s from the roofof a building lands 39.4 m from the base of the building. (The baseis just under the location where the grapefruit was launched.) Howhigh (in m) is the building? ( Answer: 9.30 ×100) 2) A 31-kg weight hangs from a ceiling on a vertical2.4-m-long wire. What horizontal force (in N) would be necessary todisplace its position 0.46 m to one side? ( Answer: 5.93× 101)

Explanation / Answer

1) 39.2 = 28.6*t so t = 1.37 s h = gt2/2 = 9.21 m 2) F = mgtan where = arcsin(0.46/2.4) F = 31*9.8*tan[arcsin(0.46/2.4)] = 59.3 N

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