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 𝐹=𝑚𝑎, where 𝑎 is the acceleration of the object (measured in meters per second squared, or m/s2), and 𝑚 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⋅s2/m
  • Ckg⋅m/s2
  • Dkg⋅m2/s2
  • Ekg⋅m/s

Q2:

What is 807 g-wt in dynes? Take 𝑔=9.8/ms.

Q3:

What is 2.87×10 dynes in newtons?

Q4:

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

Q5:

What is 170/ms in kilometers per hour per second?

  • A102
  • B612
  • C 4 2 5 9
  • D 8 , 5 0 0 3

Q6:

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

  • A 1 5 2
  • B 3 4
  • C 4 5
  • D 9 2

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