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Solved problems for the chapter:

Weight

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Introduction to Force

1. What is force?

2. How do we know that a force is acting on a body?

2.1. Effects of forces

3. Name, symbol and unit of force

4. Properties of force

5. Drawing forces

6. Contact force or field force

7. Surface and volume distributed forces

7.1. Area-distributed or surface forces

7.2. Volume-distributed or body forces

8. Measuring forces

9. Forum

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Newton's Second Law of Motion

1. Force, mass, and acceleration

1.1. A force acting in the direction of motion

1.2. A force acting opposite to the direction of motion

2. Weight

2.1. A body resting on a horizontal surface

2.2. A body falling freely

2.3. A body moving down a slope

3. Forum

↓ Show theory [2] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:weight/3481/

Example 1.

Draw a diagram showing the weight of a body of mass .

Example 2.

What is the weight of a body with the mass ?

What is the weight of the body with the mass ?

What is the weight of a body with a of mass ?

What is the weight of a body with mass ?

How many kN is the weight of a body with mass ?

On the Moon, the weight of a body is one-sixth of the weight on Earth.

What is the weight of an astronaut on Earth if he has a mass of ?
What is the weight of the astronaut on the moon?

A bag of potatoes has a mass of . What is the weight of the bag of potatoes?

A bucket weighing is filled with of water. What then is the total weight of the bucket with the water? Assume that one liter of water weighs 1 kg.

10.

Morris has a mass of and carries a backpack weighing . How much weight does Morris exert on the ground?

11.

Determine the weight of a cheese of mass .

12.

Determine whether each of the statements is correct?

Weight and mass are the same physical quantity.
Weight on earth is the force by which the Earth attracts another body.
A body of mass 1 kg weighs 10 N on Earth.
The weight on Earth has a direction towards the centre of the Earth.
John says his weight is 60kg. Can his claim be true?

13.

Determine whether each of the following statements is correct:

A body of mass 100 g weighs 1 N on Earth.
A body of mass 1 kg has the same mass even if it is located anywhere in space.
A body of mass 1 kg has a weight of 10 N anywhere in space.
The weight of a body on Earth is ten times its mass.
Tina weighs herself. The scale shows 50 kg. She claims to weigh 500 N.

14.

When a container is half full of water, it has a mass of . When the container is full of water, it has a mass of .

What is the weight of the water in the container when the container is half full?
What is the weight of the container?

15.

Pizza with mass is cut into equal parts. What is the weight of one slice of pizza rounded to one decimal place?

16.

We bought a bag of nails weighing . What is the weight of one nail in millinewtons if there are nails in the bag?

17.

Lucas bought a third of sausages and buns weighing each in the store. What is the weight of his purchase rounded to one decimal place?

18.

A truck loaded with of stones is driving on the road. Every minute, a stone weighing falls from it.

By how many Newtons does the weight of the load decrease after of driving?
What is the weight of the stones brought to the destination?

19.

A vehicle sent to explore the surface of Mars has a mass of . The acceleration of free fall on Mars is . What is the weight of the vehicle on Mars?

20.

A space rocket travels to the Moon. The acceleration of free fall is greater on the Earth than it is on the Moon. How do the mass and weight of the space rocket on the Moon compare with their values on the Earth?

	mass on the moon	weight on the moon
A	less than on the Earth	same as on the Earth
B	less than on the Earth	more than on the Earth
C	same as on the Earth	less than on the Earth
D	same as on the Earth	more than on the Earth

21.

Which statement about mass or weight is not correct?

Masses can be compared using a balance.
Mass is a force.
Weights can be compared using a balance.
Weight is a force.

22.

A person steps onto a bathroom scale. The bathroom scale records both mass and weight. Which row shows the readings on the bathroom scale?

	mass	weight
A
B
C
D

23.

An object in a space probe above the Earth weighs . The gravitational field strength at the height of the space probe is . The gravitational field strength on the Earth’s surface is . What are the mass and the weight of the object on the Earth’s surface?

	mass/	weight/
A	0.50	3.5
B	0.50	4.9
C	2.0	3.5
D	2.0	20

24.

Two objects are placed on a balance, one on each side, as shown.

Which properties of the objects can be compared using the balance?

weight, mass and volume
weight and mass only
volume and density
density only

25.

A stone is placed on a balance as shown.

Which row gives the mass and weight of the stone?

	mass	weight
A
B
C
D

26.

Which row shows the mass and the weight of an object near the Earth’s surface?

	mass/	weight/
A	0.2	0.2
B	2	0.2
C	2	20
D	20	10

27.

Which statements about weight are correct?

Weight is the quantity of matter in an object.
Weight is the force due to gravity acting on an object.
Weight is measured in kilograms.
Weight is measured in newtons.

1 and 2
1 and 4
2 and 3
2 and 4

28.

An object is moved from point X to point Y. The acceleration of free fall at X is different from that at Y. Which statement about the object at Y is correct?

Both its mass and its weight are different from those at X.
Both its mass and its weight are the same as those at X.
Its mass is the same as at X but its weight is different.
Its weight is the same as at X but its mass is different.

29.

Four students are given two different objects, P and Q. Each student measures the mass of P and the weight of Q. The results are shown in the table. Which row gives a possible result?

	mass of object P	weight of object Q
A
B
C
D

30.

The gravitational field strength is on Venus and on Mars. An object has a weight of on Venus. What are the mass and the weight of the object on Mars?

	mass/	weight/
A	4.8	18
B	4.8	42
C	11	42
D	11	97

31.

Which statement about mass and weight is correct?

Mass is a property that causes change in motion.
Mass is caused by a gravitational field acting on a weight.
Weight is a property that resists change in motion.
Weight is caused by a gravitational field acting on a mass.

32.

The gravitational field strength on the Moon is smaller than that on the Earth. A scientist examines a rock which has been brought back from the Moon. He measures three quantities.

the density of the rock
the mass of the rock
the weight of the rock

Which quantities are the same size on the surface of the Earth and on the surface of the Moon?

1 and 2 only
1 and 3 only
2 and 3 only
1, 2 and 3

33.

Which statement about the equation shown is correct?

is a force, and are not forces.
is a force, and are not forces.
is a force, and are not forces.
None of , and are forces.

34.

A student uses a force meter to measure the weights and a balance to measure the masses of four different objects. He puts his measurements in a table. Which row is correctly recorded?

	mass	weight
A
B
C
D

35.

An object has a weight of on the Earth where the gravitational field strength is . Which row states the mass and the weight of the object on the Moon where the gravitational field

strength is ?

	mass/	weight on the Moon/
A	0.64	1.0
B	0.64	6.4
C	4.0	1.0
D	4.0	6.4

36.

The mass of an object on Earth is 48 kg. What is the mass and weight of the object on the Moon?

The gravitational acceleration on the moon is about one-sixth of that on Earth and the gravitational acceleration on Earth is .