In deep space, sphere A of mass 120 kg is located at the origin of an...
In deep space, sphere A of mass 120 kg is located at the origin of an x axis and sphere B of mass 37 kg is located on the axis at x = 2.4 m. Sphere B is released from rest while sphere A is held at the origin. (a) What is the gravitational potential energy of the two-sphere system just as B is released? (b) What is the kinetic energy of B when it has moved 1.7 m toward A
Homework Answers
mA =120 kg, mB = 37 kg, x =2.4 m , uA =0 , uB =0
(a) U =GmAmB/r
U =-6.67*10^-11*120*37/2.4 = -1.23*10^-7 J
(b) from conservation of energy
K1 +U1 = K2+U2
0 - 1.23*10^-7 = KB +0 -(6.67*10^-11*120*37/1.7)
KB =5.12*10^-7 j
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