1. On earth, two parts of a space probe weigh 11500 N and 5400 N. These parts ar
ID: 2117649 • Letter: 1
Question
1. On earth, two parts of a space probe weigh 11500 N and 5400 N. These parts are separated by a center-to-center distance of 17 m and may be treated as uniform spherical objects. Find the magnitude of the gravitational force that each part exerts on the other out in space, far from any other objects 2.A bowling ball (mass = 7.2 kg, radius = 0.10 m) and a billiard ball (mass = 0.39 kg, radius = 0.028 m) may each be treated as uniform spheres. What is the magnitude of the maximum gravitational force that each can exert on the other? 3.A duck has a mass of 2.0 kg. As the duck paddles, a force of 0.11 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.24 N in a direction of 56Explanation / Answer
1. G=m1*m2/R^2
G=11500*5400/17^2
G=345000/17
G=20294.117 N
2.Minimum distance center to center= 0.1+0.028
=0.128
G=7.2*0.39/0.128^2
G=2.808/0.016384
=171.3867 N
3.Net force in East Direction = 0.11 + 0.24*
Cos(56)
= 0.11 + 0.24*0.55919
= 0.11 + 0.1342056
= .2442056 N
Net acceleration in East direction =
Using equation F=ma
a=F/m
=0.2442056/2
=.122102 m/s^2
Now,using newton equation
S=u*t+1/2*a*t^2
S= 0.12(3.3)+1/2*0.122102(3.3)^2
S=0.396+0.6534
S=1.0494 m
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