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  1. Problems
  2. /Astrophysics

Astrophysics

Physics

Gravitation, orbits, and celestial mechanics.

+ Upload a Problem
46 problems
Exam:
Type:
1.
The Earth's mass is 81 times the Moon's, and the distance between their centres is 60RE, where RE =…
High School (11–12) · Gravitation, AstrophysicsJEE MainJEE AdvancedAEEE (Amrita)+23StemPy LabStemPy Lab
Hard
2.
A satellite of mass 500 kg moves in a circular orbit of radius 7000 km round the Earth…
High School (11–12) · Gravitation, AstrophysicsJEE MainJEE AdvancedAP+24APStemPy LabStemPy Lab
Hard
3.
Two stars, A of mass 2M and B of mass M, where M = 1.0 × 10³⁰ kg, move in circular orbits about…
High School (11–12) · Gravitation, AstrophysicsJEE MainJEE AdvancedOlympiad+24OlympiadStemPy LabStemPy Lab
Advanced
4.
A planet is a uniform sphere of radius R = 3200 km and centre O…
High School (11–12) · Gravitation, AstrophysicsJEE MainJEE AdvancedOlympiad+24OlympiadStemPy LabStemPy Lab
Advanced
5.
A projectile is fired from the Earth's surface with a speed v₀ = √gR = 8.0 km/s, in a direction 30°…
High School (11–12) · Gravitation, AstrophysicsJEE MainJEE AdvancedOlympiad+24OlympiadStemPy LabStemPy Lab
Advanced
6.
A satellite moves in a circular orbit of radius 2R round the Earth, where R = 6400 km is the…
High School (11–12) · Gravitation, AstrophysicsJEE MainJEE AdvancedOlympiad+24OlympiadStemPy LabStemPy Lab
Advanced
7.
Answer, and give a reason. At 550 km up, where a space telescope orbits, is g zero? …
High School (11–12) · Gravitation, AstrophysicsBoard ExamStemPy LabStemPy Lab
Easy
8.
A polar satellite orbits 800 km above the Earth…
High School (11–12) · Gravitation, AstrophysicsNEETBoard ExamAP+21APA-LevelIBStemPy LabStemPy Lab
Medium
9.
A satellite goes round the Earth once every 8 hours…
High School (11–12) · Gravitation, AstrophysicsBoard ExamAPA-Level+20APA-LevelIBStemPy LabStemPy Lab
Medium
10.
A 1200 kg satellite is in a circular orbit 900 km up…
High School (11–12) · Gravitation, AstrophysicsBoard ExamAPA-Level+1APA-LevelIBStemPy LabStemPy Lab
Easy
11.
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, AstrophysicsJEE MainNEETBoard Exam+27APA-LevelIBStemPy LabStemPy Lab
Hard
12.
A 900 kg satellite moves from a circular orbit 400 km up to one 1400 km up…
High School (11–12) · Gravitation, AstrophysicsNEETBoard ExamAP+21APA-LevelIBStemPy LabStemPy Lab
Medium
13.
A 2000 kg satellite orbits 1100 km above the Earth…
High School (11–12) · Gravitation, AstrophysicsBoard ExamAPA-Level+20APA-LevelIBStemPy LabStemPy Lab
Medium
14.
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, AstrophysicsBoard ExamAPA-Level+20APA-LevelIBStemPy LabStemPy Lab
Medium
15.
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, AstrophysicsBoard ExamAPA-Level+1APA-LevelIBStemPy LabStemPy Lab
Easy
16.
Mars has a mass of 6.42 × 10²³ kg and a radius of 3.39 × 10⁶ m…
High School (11–12) · Gravitation, Circular Motion, AstrophysicsBoard ExamAPA-Level+20APA-LevelIBStemPy LabStemPy Lab
Medium
17.
A satellite orbits 350 km above the Earth…
High School (11–12) · Gravitation, Circular Motion, AstrophysicsBoard ExamAPA-Level+1APA-LevelIBStemPy LabStemPy Lab
Easy
18.
A spacecraft leaves the Earth's surface at 13 km/s…
High School (11–12) · Gravitation, AstrophysicsJEE MainNEETBoard Exam+27APA-LevelIBStemPy LabStemPy Lab
Hard
19.
Gas molecules move with a typical speed vrms = √(3kT/m), with k = 1.38 × 10⁻²³ J/K…
High School (11–12) · Gravitation, AstrophysicsBoard ExamAPA-Level+20APA-LevelIBStemPy LabStemPy Lab
Medium
20.
A rocket is fired straight up from the Earth at 6.0 km/s…
High School (11–12) · Gravitation, AstrophysicsNEETBoard ExamAP+21APA-LevelIBStemPy LabStemPy Lab
Medium
21.
Find the escape speed from Mercury, of mass 3.30 × 10²³ kg and radius 2.44 × 10⁶ m…
High School (11–12) · Gravitation, AstrophysicsBoard ExamAPA-Level+1APA-LevelIBStemPy LabStemPy Lab
Easy
22.
Find the gravitational potential at the Earth's surface and at a height of 1.5R above it…
High School (11–12) · Gravitation, AstrophysicsBoard ExamA-LevelIBA-LevelIBStemPy LabStemPy Lab
Easy
23.
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, AstrophysicsNEETBoard ExamAP+19APStemPy LabStemPy Lab
Medium
24.
Answer, and give a reason. Why is the gravitational potential energy of a satellite negative? …
High School (11–12) · Gravitation, Work, Energy and Power, AstrophysicsBoard ExamStemPy LabStemPy Lab
Easy
25.
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, AstrophysicsBoard ExamAPA-Level+20APA-LevelIBStemPy LabStemPy Lab
Medium
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