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Solved problems for the chapter:

Scalars and Vectors

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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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Addition of Forces for KS4

1. Resultant forces

2. Addition of parallel forces

2.1. Addition of forces acting in the same direction

2.2. Addition of forces acting in the opposite direction

2.2.1. Equal and opposite forces

3. Addition of non-parallel forces

3.1. Parallelogram rule

3.2. Polygon of forces

4. Forum

↓ Show theory [2] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:scalars_and_vectors/3518/

Example 1.

Force F in the figure below is drawn at a scale of 1 cm is 10 N. The force is resolved into two components. The directions of both components are given in the figure below with orange and green solid lines. Determine the magnitudes of the force and its two components.

Example 2.

Mark pulls a fishing boat with a rope towards the shore as shown in the picture. His traction is 450 N. Determine the scale if the force is drawn as a 3cm long line.

Two forces are on the same geometric axis and have their lines of action at the same point. The first force has a size of 120 N and the second 70 N. Draw them on a scale of 20 N to 1 cm if they are in:

the same direction,
opposite directions

The diagram below depicts a force of 6 N pushing a crate on the ground. John drew the force on the crate as shown in the picture below. Is his drawing correct?

The figure shows a force of . Determine in what scale it is drawn.

In the figure below, a force of 3 N is drawn on a scale of 1 N 1 cm. The line of action is at point A. Draw the opposite force with the line of action at point B.

The figure below shows a spring balance. It can be used to measure forces up to 5 N. Describe the operation of a spring balance. From the drawn picture, determine the magnitude of the force with which we act on the spring balance.

Two parallel forces, and are arranged as shown in the diagram.

Determine the scale of the forces.
Graphically and computationally calculate the resultant of the forces.

A pair of parallel forces of magnitudes, and are arranged as shown in the diagram.

Determine the scale of the forces.
Graphically and computationally find the resultant force.

10.

Which list contains two scalar quantities and two vector quantities?

distance, speed, time, velocity
force, velocity, distance, mass
mass, energy, temperature, momentum
weight, acceleration, momentum, speed

11.

Which quantity is not a vector?

acceleration
temperature
velocity
weight

12.

Which physical quantity is a vector?

mass
density
temperature
velocity

13.

Which quantity is a vector?

acceleration
distance
speed
mass

14.

An astronaut orbits the Earth in a space station. Which is a vector quantity?

the mass of the astronaut
the speed of the satellite
the temperature inside the satellite
the weight of the astronaut

15.

Which quantities are both vectors?

acceleration and force
acceleration and pressure
density and force
density and pressure

16.

A scalar quantity has

magnitude and direction.
no magnitude and no direction.
magnitude but no direction.
direction but no magnitude.

17.

Which list contains only vector quantities?

energy, force, velocity
speed, acceleration, force
velocity, energy, acceleration
velocity, force, acceleration

18.

Which list contains only vector quantities?

acceleration, energy, force, mass
acceleration, force, momentum, velocity
distance, energy, mass, speed
distance, momentum, power, speed

19.

Which is the value of a vector quantity?

20.

Mass is a scalar quantity.

State another scalar quantity.
...........................................................................................................................................
Force is a vector quantity.

State another vector quantity.
...........................................................................................................................................