Edexcel A-Level Further Mathematics Further Mechanics overview quiz quiz

The change in momentum of the body

The force divided by the time over which it acts on the body

The change in kinetic energy of the body as the force acts on it

The mass of the body multiplied by its acceleration during the impact

Kinetic energy

Total momentum

Speed

The coefficient of restitution

$Fd$

$Fd\sin\theta$

$Fd\cos\theta$

$\frac{F}{d}$

$mv$, which is the momentum of the body

$mgh$, the gravitational potential energy

$\frac{1}{2}mv$, half the momentum of the body

$\frac{1}{2}mv^2$

$Fv$

$\frac{F}{v}$

$\frac{1}{2}Fv^2$

$F + v$

The speed of approach

$e$ times the speed of approach

$e$ times the total momentum

The speed of approach divided by $e$

$e < 0$, taking only negative values in a collision

$e > 1$, since separation always exceeds approach

$0 \le e \le 1$

any real value, with no restriction at all on $e$

The component directed along the line of impact, which passes straight through unchanged

Both components of the velocity, since a smooth surface exerts no impulse at all

Neither component, because the impact alters the velocity in every direction

The component perpendicular to the line of impact

$r\omega^2$

$r\omega$

$\frac{\omega}{r}$

$\frac{r}{\omega^2}$

Because the radius of the circle steadily changes as the particle moves around it

Because gravity does work as the height changes

Because the mass of the particle changes as it travels around the vertical circle

Because the angular speed of the particle is fixed at a constant value throughout

$v^2 = 2gr$

$v = gr$

$v^2 = gr$

$v^2 = \frac{g}{r}$