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3.1 Newton's Universal Law of Gravitation

Total questions: 11

Worksheet time: 19mins

Name
Class
Date
1.

You are talking to your friend who is sitting 1.5 m in front of you. If your mass is 60kg and your friend's mass is 50 kg, what is the gravitational force between you and your friend?

a)

A 6.9 x 10-8 N

b)

B 8.9 x 10-8 N

c)

C 9.5 x 10-8 N

d)

D 1.3 x 10-7 N

2.

Two force of attraction between two spheres of masses M and m and radii R and r in contact is F. What is the force of attraction when the two masses are separated as shown in Diagram 2?

a)

A 14 F\frac{1}{4}\ F  

b)

B 12 F\frac{1}{2}\ F  

c)

C 2F

d)

D 4F

3.

Two identical bowling balls attract each other with a gravitational force of

3.0 x 10-9 N. The mass of each of the bowling ball is 6.1 kg. What is the distance between their centres?

a)

A 0.83 m

b)

B 0.91 m

c)

C 1.60 m

d)

D 6.20 m

4.

Which of the following shows correctly the variation of gravitational acceleration, g, with the distance from the centre of the Earth, r? [R is the radius of the Earth]

a)
b)
c)
d)
5.

The gravitational acceleration on the surface of the Earth is g. What is the gravitational acceleration at a position 2R from the surface of the Earth? [R is Earth's radius]

a)

A 19 g\frac{1}{9}\ g  

b)

B 14 g\frac{1}{4}\ g  

c)

C 12 g\frac{1}{2}\ g  

d)

D 2 g

6.

The mass of Mars is 6.42 x 1023 kg. The acceleration due to gravity on its surface is 3.71 m s-2. What is the radius of Mars?

a)

A 3.4 x 106 m

b)

B 6.4 x 106 m

c)

C 7.8 x 106 m

d)

D 11.5 x 106 m

7.

Which of the following statements is not a characteristic of gravitational force?

a)

A It causes the same acceleration for different masses.

b)

B It acts with the same force on different masses

c)

C The force is always towards the centre of the Earth

d)

D It complies with the inverse square law

8.

A sphere with mass 100 kg is brought to the top of a mountain of height 6000 m. What is its weight there?

a)

A 960 N

b)

B 975 N

c)

C 980 N

d)

D 981 N

9.

What is the mass of a planet with a radius of 3.39 x 106 m and a gravitational acceleration of 3.71 m s-2 on its surface?

a)

A 2.7 x 1023 kg

b)

B 3.8 x 1023 kg

c)

C 4.7 x 1023 kg

d)

D 6.4 x 1023 kg

10.

Diagram 4 show satellite X at a height of 600 km above the surface of the Earth . The satellite revolves around the Earth with a period of 90 minutes. [The radius of Earth, R = 6400 km]

a) State Newton's Universal Law of Gravitation

b) State the type of orbit of satellite X

c) Based on Diagram 4, does the satellite have acceleration? Explain why.

4 lines
11.

Diagram 1 shows two masses attracting each other. If m1 : m2 = 2 : 3, then F1 : F2 is equal to

a)

A 2 : 3

b)

B 1 : 1

c)

C 3 : 2

d)

D 5 : 2