Gravitation
Q. What is the gravitational force between two 1 kg masses placed 1 m apart?
A.
6.67 × 10^-11 N
B.
6.67 × 10^-10 N
C.
6.67 × 10^-9 N
D.
6.67 × 10^-8 N
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Solution
F = G * (m1 * m2) / r² = (6.67 × 10^-11) * (1 * 1) / (1²) = 6.67 × 10^-11 N
Correct Answer: A — 6.67 × 10^-11 N
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Q. What is the gravitational force between two 1 kg masses placed 1 meter apart?
A.
6.67 x 10^-11 N
B.
6.67 x 10^-9 N
C.
6.67 x 10^-10 N
D.
6.67 x 10^-12 N
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Solution
Using F = G * (m1 * m2) / r², F = (6.67 x 10^-11) * (1 * 1) / (1²) = 6.67 x 10^-11 N.
Correct Answer: A — 6.67 x 10^-11 N
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Q. What is the gravitational force between two 1 kg masses separated by 1 meter?
A.
6.67 x 10^-11 N
B.
9.81 N
C.
1 N
D.
0 N
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Solution
Using F = G * (m1 * m2) / r^2, we find F = 6.67 x 10^-11 N for two 1 kg masses at 1 meter apart.
Correct Answer: A — 6.67 x 10^-11 N
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Q. What is the gravitational force between two 1 kg masses that are 1 m apart?
A.
6.67 x 10^-11 N
B.
6.67 x 10^-9 N
C.
6.67 x 10^-10 N
D.
6.67 x 10^-12 N
Show solution
Solution
Using F = G * (m1 * m2) / r^2, F = (6.67 x 10^-11) * (1 * 1) / (1^2) = 6.67 x 10^-11 N.
Correct Answer: A — 6.67 x 10^-11 N
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Q. What is the gravitational force between two 1 kg masses that are 1 meter apart?
A.
6.67 x 10^-11 N
B.
6.67 x 10^-9 N
C.
6.67 x 10^-10 N
D.
6.67 x 10^-12 N
Show solution
Solution
Using F = G * (m1 * m2) / r², F = (6.67 x 10^-11) * (1 * 1) / (1^2) = 6.67 x 10^-11 N.
Correct Answer: A — 6.67 x 10^-11 N
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Q. What is the gravitational force between two masses of 5 kg and 10 kg separated by a distance of 2 m? (G = 6.67 × 10^-11 N m²/kg²)
A.
1.67 × 10^-10 N
B.
1.67 × 10^-9 N
C.
1.67 × 10^-8 N
D.
1.67 × 10^-7 N
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Solution
F = G * (m1 * m2) / r² = (6.67 × 10^-11) * (5 * 10) / (2²) = 1.67 × 10^-10 N
Correct Answer: A — 1.67 × 10^-10 N
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Q. What is the gravitational force between two masses of 5 kg and 10 kg separated by a distance of 2 m? (G = 6.67 x 10^-11 N m²/kg²)
A.
1.67 x 10^-10 N
B.
1.25 x 10^-10 N
C.
1.00 x 10^-10 N
D.
2.00 x 10^-10 N
Show solution
Solution
F = G * (m1 * m2) / r² = (6.67 x 10^-11) * (5 * 10) / (2²) = 1.67 x 10^-10 N
Correct Answer: A — 1.67 x 10^-10 N
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Q. What is the gravitational force between two masses of 5 kg and 10 kg separated by a distance of 2 m?
A.
1.67 x 10^-10 N
B.
1.25 x 10^-9 N
C.
1.25 x 10^-10 N
D.
2.5 x 10^-10 N
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Solution
Using Newton's law of gravitation, F = G * (m1 * m2) / r^2, where G = 6.67 x 10^-11 N m^2/kg^2, m1 = 5 kg, m2 = 10 kg, and r = 2 m. F = (6.67 x 10^-11) * (5 * 10) / (2^2) = 1.25 x 10^-9 N.
Correct Answer: B — 1.25 x 10^-9 N
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Q. What is the gravitational force between two objects of mass 3 kg and 4 kg separated by a distance of 3 m?
A.
1.11 x 10^-10 N
B.
1.33 x 10^-10 N
C.
1.67 x 10^-10 N
D.
2.00 x 10^-10 N
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Solution
Using F = G * (m1 * m2) / r^2, F = (6.67 x 10^-11) * (3 * 4) / (3^2) = 1.33 x 10^-10 N.
Correct Answer: B — 1.33 x 10^-10 N
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Q. What is the gravitational force between two objects of masses 5 kg and 10 kg separated by a distance of 2 m? (G = 6.67 × 10^-11 N m²/kg²)
A.
1.67 × 10^-10 N
B.
1.67 × 10^-9 N
C.
1.67 × 10^-8 N
D.
1.67 × 10^-7 N
Show solution
Solution
F = G * (m1 * m2) / r² = (6.67 × 10^-11) * (5 * 10) / (2²) = 1.67 × 10^-10 N
Correct Answer: A — 1.67 × 10^-10 N
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Q. What is the gravitational force between two objects of masses 5 kg and 10 kg separated by a distance of 2 m?
A.
1.67 x 10^-10 N
B.
1.25 x 10^-9 N
C.
1.25 x 10^-10 N
D.
2.50 x 10^-10 N
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Solution
Using Newton's law of gravitation, F = G * (m1 * m2) / r^2, where G = 6.67 x 10^-11 N m^2/kg^2, m1 = 5 kg, m2 = 10 kg, r = 2 m. F = (6.67 x 10^-11) * (5 * 10) / (2^2) = 1.25 x 10^-9 N.
Correct Answer: B — 1.25 x 10^-9 N
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Q. What is the gravitational force between two objects of masses m1 and m2 separated by a distance r?
A.
F = G * (m1 * m2) / r^2
B.
F = G * (m1 + m2) / r^2
C.
F = G * (m1 * m2) * r^2
D.
F = G * (m1 - m2) / r
Show solution
Solution
The gravitational force is given by Newton's law of gravitation: F = G * (m1 * m2) / r^2.
Correct Answer: A — F = G * (m1 * m2) / r^2
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Q. What is the gravitational force between two objects with masses m1 and m2 separated by a distance r?
A.
F = G * (m1 * m2) / r^2
B.
F = G * (m1 + m2) / r^2
C.
F = G * (m1 - m2) / r^2
D.
F = G * (m1 * m2) * r^2
Show solution
Solution
The gravitational force is given by Newton's law of gravitation: F = G * (m1 * m2) / r^2.
Correct Answer: A — F = G * (m1 * m2) / r^2
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Q. What is the gravitational force experienced by a 1 kg mass at the surface of the Earth?
A.
9.81 N
B.
1 N
C.
0 N
D.
9.81 kg
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Solution
The gravitational force on a 1 kg mass at the surface of the Earth is equal to its weight, which is 9.81 N.
Correct Answer: A — 9.81 N
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Q. What is the gravitational force experienced by a 10 kg mass at the surface of the Earth?
A.
10 N
B.
98 N
C.
100 N
D.
0 N
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Solution
The weight (gravitational force) is calculated as F = m * g = 10 kg * 9.8 m/s^2 = 98 N.
Correct Answer: B — 98 N
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Q. What is the gravitational potential at a distance 'r' from a mass 'M'?
A.
-GM/r
B.
-GM/r^2
C.
GM/r
D.
GM/r^2
Show solution
Solution
The gravitational potential V at a distance r from a mass M is given by V = -GM/r.
Correct Answer: A — -GM/r
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Q. What is the gravitational potential at a distance 'r' from a point mass 'M'?
A.
-GM/r
B.
-GM/r^2
C.
GM/r
D.
GM/r^2
Show solution
Solution
The gravitational potential V at a distance r from a point mass M is given by V = -GM/r.
Correct Answer: A — -GM/r
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Q. What is the gravitational potential at a point infinitely far away from a mass?
A.
Zero
B.
Positive
C.
Negative
D.
Undefined
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Solution
The gravitational potential at a point infinitely far away from a mass is defined to be zero.
Correct Answer: A — Zero
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Q. What is the gravitational potential at infinity?
A.
Zero
B.
Positive
C.
Negative
D.
Undefined
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Solution
The gravitational potential at infinity is defined to be zero.
Correct Answer: A — Zero
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Q. What is the gravitational potential energy of a 10 kg mass at a height of 5 m above the ground? (g = 9.8 m/s²)
A.
490 J
B.
4900 J
C.
98 J
D.
980 J
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Solution
Gravitational potential energy (U) is given by U = mgh = 10 kg * 9.8 m/s² * 5 m = 490 J.
Correct Answer: A — 490 J
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Q. What is the gravitational potential energy of a 10 kg mass at a height of 5 m above the ground?
A.
50 J
B.
100 J
C.
0 J
D.
10 J
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Solution
The gravitational potential energy is calculated using the formula U = mgh = 10 kg * 9.8 m/s² * 5 m = 490 J.
Correct Answer: B — 100 J
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Q. What is the gravitational potential energy of a 2 kg mass at a height of 10 m above the ground? (g = 9.8 m/s²)
A.
196 J
B.
98 J
C.
20 J
D.
0 J
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Solution
Gravitational potential energy (U) is calculated as U = mgh = 2 kg * 9.8 m/s² * 10 m = 196 J.
Correct Answer: A — 196 J
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Q. What is the gravitational potential energy of a 2 kg mass at a height of 10 m above the ground? (g = 9.8 m/s^2)
A.
196 J
B.
98 J
C.
20 J
D.
0 J
Show solution
Solution
Gravitational potential energy (U) is given by U = mgh = 2 kg * 9.8 m/s^2 * 10 m = 196 J.
Correct Answer: A — 196 J
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Q. What is the gravitational potential energy of a 2 kg mass at a height of 10 m?
A.
20 J
B.
15 J
C.
10 J
D.
5 J
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Solution
Gravitational potential energy (U) = mgh = 2 kg * 9.8 m/s^2 * 10 m = 196 J.
Correct Answer: A — 20 J
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Q. What is the gravitational potential energy of a 2 kg mass at a height of 10 m? (g = 9.8 m/s²)
A.
196 J
B.
98 J
C.
20 J
D.
0 J
Show solution
Solution
U = mgh = 2 * 9.8 * 10 = 196 J.
Correct Answer: A — 196 J
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Q. What is the gravitational potential energy of a 2 kg mass at a height of 5 m?
A.
10 J
B.
20 J
C.
30 J
D.
40 J
Show solution
Solution
Using U = mgh, U = 2 kg * 9.8 m/s^2 * 5 m = 98 J.
Correct Answer: B — 20 J
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Q. What is the gravitational potential energy of a 2 kg mass at a height of 5 m? (g = 9.8 m/s²)
A.
19.6 J
B.
39.2 J
C.
49 J
D.
9.8 J
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Solution
Potential Energy PE = m * g * h = 2 kg * 9.8 m/s² * 5 m = 98 J
Correct Answer: B — 39.2 J
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Q. What is the gravitational potential energy of a 5 kg mass at a height of 10 m above the ground?
A.
490 J
B.
500 J
C.
510 J
D.
450 J
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Solution
Gravitational potential energy U = mgh = 5 * 9.8 * 10 = 490 J.
Correct Answer: B — 500 J
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Q. What is the gravitational potential energy of a mass 'm' at height 'h' above the Earth's surface?
A.
mgh
B.
mg/h
C.
gh/m
D.
mgh^2
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Solution
The gravitational potential energy U at height h is given by U = mgh.
Correct Answer: A — mgh
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Q. What is the gravitational potential energy of a mass m at a height h above the Earth's surface?
A.
U = mgh
B.
U = mg/h
C.
U = mgh²
D.
U = gh/m
Show solution
Solution
The gravitational potential energy is given by the formula U = mgh, where g is the acceleration due to gravity.
Correct Answer: A — U = mgh
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