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Two objects of mass 200 kg and 800 kg separated by a distance of 50 m. Find the gravitational force between the two bodies.
- a)4.26 × 10–9 N
- b)2.4 × 10–8 N
- c)2 × 10–9 N
- d)4.2 × 10–11 N
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Two objects of mass 200 kg and 800 kg separated by a distance of 50 m...
F =G× mM/r2
= 6.67 × 10–11 × {(200× 800)/(50×50)} 4.26×10-9 N
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Two objects of mass 200 kg and 800 kg separated by a distance of 50 m...
Gravitational force is the force of attraction between two objects with mass. It is given by the equation:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force,
G is the gravitational constant (6.67 × 10^(-11) N m^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
Given:
m1 = 200 kg
m2 = 800 kg
r = 50 m
Substituting the given values into the equation, we have:
F = (6.67 × 10^(-11) N m^2/kg^2) * (200 kg * 800 kg) / (50 m)^2
Simplifying the expression:
F = (6.67 × 10^(-11) N m^2/kg^2) * (160,000 kg^2) / (2500 m^2)
F = (6.67 × 10^(-11) N m^2/kg^2) * 64
F = 4.2688 × 10^(-9) N
Rounding off to the correct number of significant figures, we get:
F = 4.26 × 10^(-9) N
Therefore, the gravitational force between the two objects is 4.26 × 10^(-9) N.
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force,
G is the gravitational constant (6.67 × 10^(-11) N m^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
Given:
m1 = 200 kg
m2 = 800 kg
r = 50 m
Substituting the given values into the equation, we have:
F = (6.67 × 10^(-11) N m^2/kg^2) * (200 kg * 800 kg) / (50 m)^2
Simplifying the expression:
F = (6.67 × 10^(-11) N m^2/kg^2) * (160,000 kg^2) / (2500 m^2)
F = (6.67 × 10^(-11) N m^2/kg^2) * 64
F = 4.2688 × 10^(-9) N
Rounding off to the correct number of significant figures, we get:
F = 4.26 × 10^(-9) N
Therefore, the gravitational force between the two objects is 4.26 × 10^(-9) N.
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Two objects of mass 200 kg and 800 kg separated by a distance of 50 m. Find the gravitational force between the two bodies.a)4.26 × 10–9 Nb)2.4 × 10–8 Nc)2 × 10–9 Nd)4.2 × 10–11 NCorrect answer is option 'A'. Can you explain this answer?
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