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68 problems
Type:
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Conceptual
Numerical
1.
Answer, and give a reason. At 550 km up, where a space telescope orbits, is g zero?
High School (11–12) · Gravitation
StemPy Lab
Easy
2.
A 62 kg student stands on a scale in a lift.
High School (11–12) · Gravitation
StemPy Lab
Easy
3.
A polar satellite orbits 800 km above the Earth.
High School (11–12) · Gravitation
StemPy Lab
Medium
4.
A satellite goes round the Earth once every 8 hours.
High School (11–12) · Gravitation
StemPy Lab
Medium
5.
A 1200 kg satellite is in a circular orbit 900 km up.
High School (11–12) · Gravitation
StemPy Lab
Easy
6.
A 1200 kg satellite orbits 420 km up. Over some weeks, the thin air takes 2.0 × 10⁸ J of its energy.
High School (11–12) · Gravitation
StemPy Lab
Hard
7.
A 900 kg satellite moves from a circular orbit 400 km up to one 1400 km up.
High School (11–12) · Gravitation
StemPy Lab
Medium
8.
A 2000 kg satellite orbits 1100 km above the Earth.
High School (11–12) · Gravitation
StemPy Lab
Medium
9.
Jupiter's moon Ganymede orbits 1.07 × 10⁹ m from Jupiter's centre, once every 7.15 days.
High School (11–12) · Gravitation, Circular Motion
StemPy Lab
Medium
10.
Satellites A and B orbit the Earth in circles, and B's radius is 9 times A's.
High School (11–12) · Gravitation, Circular Motion
StemPy Lab
Easy
11.
Mars has a mass of 6.42 × 10²³ kg and a radius of 3.39 × 10⁶ m.
High School (11–12) · Gravitation, Circular Motion
StemPy Lab
Medium
12.
A satellite orbits 350 km above the Earth.
High School (11–12) · Gravitation, Circular Motion
StemPy Lab
Easy
13.
A spacecraft leaves the Earth's surface at 13 km/s.
High School (11–12) · Gravitation
StemPy Lab
Hard
14.
Gas molecules move with a typical speed vrms = √(3kT/m), with k = 1.38 × 10⁻²³ J/K.
High School (11–12) · Gravitation
StemPy Lab
Medium
15.
A rocket is fired straight up from the Earth at 6.0 km/s.
High School (11–12) · Gravitation
StemPy Lab
Medium
16.
Find the escape speed from Mercury, of mass 3.30 × 10²³ kg and radius 2.44 × 10⁶ m.
High School (11–12) · Gravitation
StemPy Lab
Easy
17.
Find the gravitational potential at the Earth's surface and at a height of 1.5R above it.
High School (11–12) · Gravitation
StemPy Lab
Easy
18.
A thin uniform shell has a mass of 30 kg and a radius of 0.60 m.
High School (11–12) · Gravitation
StemPy Lab
Medium
19.
Imagine a straight tunnel through the centre of a uniform Mars (g = 3.7 m/s² at the surface, R =…
High School (11–12) · Gravitation
StemPy Lab
Medium
20.
Two 25 kg balls are 3.0 m apart. Find the gravitational potential and field midway between them.
High School (11–12) · Gravitation
StemPy Lab
Medium
21.
Answer, and give a reason. Why is the gravitational potential energy of a satellite negative?
High School (11–12) · Gravitation, Work, Energy and Power
StemPy Lab
Easy
22.
A 25 kg instrument is lifted from the ground to 250 km up.
High School (11–12) · Gravitation, Work, Energy and Power
StemPy Lab
Medium
23.
How much work lifts an 800 kg payload from the Earth's surface to a height of 3R (that is, 4R from…
High School (11–12) · Gravitation, Work, Energy and Power
StemPy Lab
Medium
24.
Balls of 4.0 kg and 6.0 kg are 0.30 m apart.
High School (11–12) · Gravitation, Work, Energy and Power
StemPy Lab
Easy
25.
Taking R = 6400 km and a uniform Earth: At what height is g a sixteenth of its surface value?
High School (11–12) · Gravitation
StemPy Lab
Medium
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