Question

(6) Spheres A and B of uniform density have
masses 1 kg and 100 kg respectively. Their
centres are separated by 100 m. (i) Find the
gravitational force between them. (ii) Find the
gravitational force on A due to the earth.
(iii) Suppose A and B are initially at rest and A
can move freely towards B. What will be the
velocity of A one second after it starts moving
towards B? How will this velocity change with
time? How much time will A take to move
towards B by 1 cm? (iv) If A begins to fall,
starting from rest, due to the earth's downward
pull, what will be its velocity after one second?
How much time will it take to fall through 1 cm?
[M(earth) = 6 x 1024 kg, Rearth) = 6400 km]​

Answer 1

Explanation:

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Answer 2

Answer:

F = Gm1m2/r2

F = 6.67x10^-13N (i)

ii) F = 977.05 N

iii) v = 0.01m/s

iv) v = 9.8m/s

v) 0.001 second.

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