Mechanics questions

By Interwoven Maths

Mechanics question collection

Review Mechanics questions for Maths, with correct answers shown and coverage across choosing which equation finds displacement when u, v and t are known; defining a uniform body; \text{Which quantity is a vector?}.

Back to Mechanics practice Back to Maths

Question 1

Which equation finds displacement when \(u\), \(v\) and \(t\) are known?
  1. \(s=\frac{1}{2}(u+v)t\)
  2. \(v=u+at\)
  3. \(s=ut+\frac{1}{2}at^2\)
  4. \(v^2=u^2+2as\)

Question 2

What is a uniform body?
  1. An object with mass evenly distributed.
  2. A body with all mass at a single point.
  3. A body that does not bend.
  4. A body moving with constant velocity.

Question 3

\(\text{Which quantity is a vector?}\)
  1. \(\text{velocity}\)
  2. \(\text{speed}\)
  3. \(\text{distance}\)
  4. \(\text{mass}\)

Question 4

What is friction?
  1. A force that opposes motion or impending motion.
  2. A contact force perpendicular to a surface.
  3. The pulling force in a string or rope.
  4. Force multiplied by perpendicular distance from a point.

Question 5

What is normal reaction?
  1. A contact force perpendicular to a surface.
  2. A contact force parallel to a surface.
  3. The pulling force in a string or rope.
  4. The gravitational force on a mass.

Question 6

What is the range of a projectile?
  1. The horizontal distance travelled.
  2. The maximum height reached.
  3. The total time in the air.
  4. The initial speed of projection.

Question 7

What is the SI unit of acceleration?
  1. \(\mathrm{m\,s^{-2}}\)
  2. \(\mathrm{N\,m}\)
  3. \(\mathrm{m\,s^{-1}}\)
  4. \(\mathrm{kg}\)

Question 8

What is the SI unit of displacement?
  1. \(\mathrm{m}\)
  2. \(\mathrm{m\,s^{-2}}\)
  3. \(\mathrm{s}\)
  4. \(\mathrm{m\,s^{-1}}\)

Question 9

What is the SI unit of force?
  1. \(\mathrm{N}\)
  2. \(\mathrm{s}\)
  3. \(\mathrm{kg}\)
  4. \(\mathrm{m\,s^{-1}}\)

Question 10

What is the SI unit of mass?
  1. \(\mathrm{kg}\)
  2. \(\mathrm{N}\)
  3. \(\mathrm{m\,s^{-1}}\)
  4. \(\mathrm{s}\)

Question 11

\(\text{A }6\,\mathrm{N}\text{ force acts }2\,\mathrm{m}\text{ from a pivot. Find the moment in }\mathrm{N\,m}\text{.}\)
  1. 12
  2. 3
  3. 8
  4. 0.33

Question 12

What is the SI unit of speed?
  1. \(\mathrm{m\,s^{-1}}\)
  2. \(\mathrm{m}\)
  3. \(\mathrm{kg}\)
  4. \(\mathrm{s}\)

Question 13

What is the SI unit of time?
  1. \(\mathrm{s}\)
  2. \(\mathrm{N\,m}\)
  3. \(\mathrm{m\,s^{-1}}\)
  4. \(\mathrm{N}\)

Question 14

\(\text{Find the weight in N of a }2\,\mathrm{kg}\text{ mass where }g=9.8\,\mathrm{N\,kg^{-1}}\text{.}\)
  1. 19.6
  2. 4.9
  3. 11.8
  4. 7.8

Question 15

What is uniform motion?
  1. Motion with constant velocity.
  2. Motion with constant acceleration.
  3. Motion with changing velocity.
  4. Motion where speed is constant but direction changes.

Question 16

What is velocity?
  1. Rate of change of displacement.
  2. Rate of change of distance travelled.
  3. Rate of change of acceleration.
  4. Straight-line change in position with direction.

Question 17

What is weight?
  1. The gravitational force on a mass.
  2. The mass of an object.
  3. The contact force from a surface.
  4. The pulling force in a string or rope.

Question 18

\(\text{At maximum height, what is a projectile's vertical velocity?}\)
  1. \(0\,\mathrm{m\,s^{-1}}\)
  2. \(9.8\,\mathrm{m\,s^{-1}}\text{ upward}\)
  3. \(9.8\,\mathrm{m\,s^{-1}}\text{ downward}\)
  4. \(\text{The launch speed}\)

Question 19

\(\text{A }3\,\mathrm{kg}\text{ object accelerates at }2\,\mathrm{m\,s^{-2}}.\text{ Find resultant force }F.\)
  1. \(\mathrm{6\,N}\)
  2. \(\mathrm{1.5\,N}\)
  3. \(\mathrm{5\,N}\)
  4. \(\mathrm{12\,N}\)

Question 20

\(\text{A resultant force of }18\,\mathrm{N}\text{ causes acceleration }3\,\mathrm{m\,s^{-2}}.\text{ Find }m.\)
  1. \(\mathrm{6\,kg}\)
  2. \(\mathrm{3\,kg}\)
  3. \(\mathrm{15\,kg}\)
  4. \(\mathrm{54\,kg}\)

Question 21

A particle hangs at rest from a light inextensible string. Which statement is true?
  1. The tension is the same throughout the string.
  2. The tension increases from top to bottom.
  3. The tension is zero at the top of the string.
  4. The tension acts perpendicular to the string.

Question 22

\(\text{A uniform rod of length }2\,\mathrm{m}\text{ is pivoted at one end. Where does its weight act?}\)
  1. \(\mathrm{1\,m\text{ from the pivot}}\)
  2. \(\mathrm{0.5\,m\text{ from the pivot}}\)
  3. \(\mathrm{2\,m\text{ from the pivot}}\)
  4. \(\mathrm{At\ the\ pivot}\)

Question 23

\(\text{Which expression gives acceleration }a\text{ for constant acceleration motion?}\)
  1. \(a=\frac{v-u}{t}\)
  2. \(a=\frac{u-v}{t}\)
  3. \(a=\frac{s}{t}\)
  4. \(a=v-ut\)

Question 24

Which equation gives displacement \(s\) when \(u\), \(a\) and \(t\) are known?
  1. \(s=ut+\frac{1}{2}at^2\)
  2. \(s=vt+\frac{1}{2}at^2\)
  3. \(s=ut+at^2\)
  4. \(s=u+at\)

Question 25

\(\text{Which equation gives final velocity }v\text{ in terms of }u,a,t\text{?}\)
  1. \(v=u+at\)
  2. \(v=u-at\)
  3. \(v=ut+a\)
  4. \(v^2=u^2-at\)

Question 26

\(\text{Which equation is Newton's second law for resultant force }F\text{?}\)
  1. \(F=ma\)
  2. \(F=\frac{m}{a}\)
  3. \(F=\frac{a}{m}\)
  4. \(F=mv\)

Question 27

\(\text{Rearrange }v=u+at\text{ to make }u\text{ the subject.}\)
  1. \(u=v-at\)
  2. \(u=v+at\)
  3. \(u=\frac{v}{at}\)
  4. \(u=vt-a\)

Question 28

Rearrange \(F=ma\) to make \(m\) the subject.
  1. \(m=\frac{F}{a}\)
  2. \(m=Fa\)
  3. \(m=\frac{a}{F}\)
  4. \(m=F-a\)

Question 29

\(\text{Rearrange }v=u+at\text{ to make }t\text{ the subject.}\)
  1. \(t=\frac{v-u}{a}\)
  2. \(t=\frac{u-v}{a}\)
  3. \(t=\frac{v+u}{a}\)
  4. \(t=va-u\)

Question 30

\(\text{Which formula links weight }W\text{, mass }m\text{ and gravitational field strength }g\text{?}\)
  1. \(W=mg\)
  2. \(W=\frac{m}{g}\)
  3. \(W=\frac{g}{m}\)
  4. \(W=m+g\)

About this topic

Review Mechanics questions for Maths, with correct answers shown and coverage across choosing which equation finds displacement when u, v and t are known; defining a uniform body; \text{Which quantity is a vector?}.

This topic covers

Example question types