Problem Set 10
1.
An object is projected upward from the surface of the earth with an initial speed of 2 km/s. The
acceleration of gravity is 9.81 m/s
2
. Find the maximum height it reaches. Answer in units of km.
2.
The planet Saturn has a mass 95.2 times that of the earth and a radius 9.47 times that of the earth.
Find the escape speed for objects on the surface of Saturn. Answer in units of km/s.
3.
The density of a sphere is given by
ρ
(r) = C/r. The sphere has a radius of 2.52 m and a mass of
1011 kg. Find the constant C. Answer in units of kg/m2.
Find the gravitational field 5.56 m from the center of the sphere. Answer in units of N/kg.
Find the gravitational field 2.49 m from the centre of the sphere. Answer in units of N/kg.
4.
A 70.0 kg driver steps off a 10.0m tower and drops straight down into the water. If he comes to rest
5.00m beneath the surface of the water, find the average resistance force exerted by the water on
the diver.
5.
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 Spring '11
 Dutt
 Mass, Potential Energy, 2 km, 5.00m, 2.50j

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