1. In the queue at the bus stop, two students (with masses 80 and 60 kg respectively) are standing a distance 0.7 m apart. What is the magnitude of the gravitational force between them?
Treat both objects as point masses, use G = 6.67×10^−11 Nm^2 kg^−2.
F = ___ micro newtons (to one significant figure, and note the units)
2. Ceres is the largest asteroid. Its mean radius is 476 km and its mass is 9.4×10^20 kg. Using this, and G = 6.67×10^−11 Nm^2 kg^−2, and approximating it as a sphere, compute the speed required to escape the gravity on the surface of Ceres.
Speed = ___ m.s^ (to two significant figures, don't use scientific notation)
1
Expert's answer
2020-03-13T10:56:45-0400
1.
Gravitational force is given by r2Gm1m2
0.726.67×10−11×80×60
65338.8×10−116.5×10−7N
2.
Escape velocity is given by R2GM=476×1032×6.67×10−11×9.4×1020=0.26×106m/s
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