# Worksheet: Quantities and Units in Mechanics

In this worksheet, we will practice identifying fundamental and derived quantities used in mechanics, such as length, time and velocity, and identifying their units and unit conversions.

**Q1: **

The force applied on an object is calculated using the formula ,
where is the acceleration of the object
(measured in meters per second squared, or
m/s^{2}),
and is its mass (measured in
kilograms, or kg).
The force is then measured in newtons.
Which of the following is the expression of newtons
in terms of the base units
kilograms,
meters,
and seconds?

- A(kg⋅m/s)
^{2} - Bkg⋅s
^{2}/m - Ckg⋅m/s
^{2} - Dkg⋅m
^{2}/s^{2} - Ekg⋅m/s

**Q4: **

What is the weight of a body of mass 101 kg in kilograms weight?

**Q6: **

What is 27 m/h/s in centimetres per second squared?

- A
- B
- C
- D

**Q7: **

Acceleration is the rate of change of the velocity of an object with respect to time. Which of the following is a unit for acceleration?

- Am⋅s
- Bkm/h
- Cm⋅s
^{2} - Dm/s
- Em/s
^{2}

**Q8: **

The kinetic energy, which is measured in joules, is given by the rule . Which of the following units is equal to the joule?

- Akg/m/s
^{2} - Bkg⋅m/s
- Ckg⋅m
^{2}/s^{2} - Dkg/m
^{2}/s^{2} - Ekg⋅m/s
^{2}

**Q9: **

Velocity is equal to the distance covered over a period of time.
Which of the following is **not** a unit of velocity?

- Acm/s
- Bm/s
- Cm/s
^{2} - Dm/min
- Ekm/h

**Q10: **

.

- A m/s
^{2} - B20 m/s
- C40 m/s
- D m/s
^{2}

**Q11: **

Which of the following is false?

- A
- B
- C
- D

**Q12: **

.

- A1,200
- B20
- C120
- D

**Q13: **

Which of the following is false?

- A
- B
- C
- D

**Q14: **

.

- A m/min
^{2} - B40 m/s
- C m/s
^{2} - D40 m/s
^{2}