8
(a) Determine the gravitational force if two masses are 30kg and 50kg
separated by a distance.
Take the value (G = 6.67 x 10–11 N m2/kg2)
Answers
Answer:
Step-by-step explanation:
F = Force of attraction between two objects (N)
G = universal gravitational constant = 6.67259 x 10–11 N m2/kg2.
m1,m1 = two different masses (Kg)
r = is the distance between them
Solved Numericals
Example 1
Determine the gravitational force if two masses are 30kg and 50kg separated by a distance 4m.
G = 6.67259 x 10–11 N m2/kg2.
Solution:
Given:
m1 = 30 kg, m2 = 50 kg
r = 4m and
G = 6.67259 x 10–11 N m2/kg2.
Universal gravitation formula is given by,
Universal Gravitation Formula
= [6.673×10–11 ×30×50] / 16
F = 62.55 x 10–11N
Example 2
Determine the gravitational force if the mass of two bodies are 80 kg and 200 kg and they are separated by a distance of 6m.
Solution:
Given:
m1 = 80 kg, m2 = 100 kg,
r = 6m and
G = 6.67259 x 10–11 N m2/kg2.
Universal gravitation formula is given by,
F=Gm1m2 / r2
=6.673×10–11× 80×100 / 36
F =148.28×10–11N
of Answer:
F = Force of attraction between two objects (N)
G = universal gravitational constant = 6.67259 x 10–11 N m2/kg2.
m1,m1 = two different masses (Kg)
r = is the distance between them
Solved Numericals
Example 1
Determine the gravitational force if two masses are 30kg and 50kg separated by a distance 4m.
G = 6.67259 x 10–11 N m2/kg2.
Solution:
Given:
m1 = 30 kg, m2 = 50 kg
r = 4m and
G = 6.67259 x 10–11 N m2/kg2.
Universal gravitation formula is given by,
Universal Gravitation Formula
= [6.673×10–11 ×30×50] / 16
F = 62.55 x 10–11N
Example 2
Determine the gravitational force if the mass of two bodies is 80 kg and 200 kg and they are separated by a distance of 6m.
Solution:
Given:
m1 = 80 kg, m2 = 100 kg,
r = 6m and
G = 6.67259 x 10–11 N m2/kg2.
Universal gravitation formula is given by,
F=Gm1m2 / r2
=6.673×10–11× 80×100 / 36
F =148.28×10–11N