Determine whether the ball will hit the ceiling.

The tennis ball was stationary before being hit. It has a mass of 5.8×10^–2 kg and was in contact with the racket for 23 ms.

(i) Calculate the mean force exerted by the racket on the ball.

(ii) Explain how Newton’s third law applies when the racket hits the tennis ball.

determines component correctly / 15 sin 50 seen
Allow method via v = u + at. Allow use of g = 10 m s^-2, gives 6.6 m and 8.1 m.

$s=\ll \frac{{\left(15\sin 50\right)}^2}{2\times 9.81}=\gg 6.7\ll \mathrm{m}\gg$
Allow [2 max] for use of 15 cos 50, gives 4.7 m and 6.2 m.

correct reasoning consistent with candidate data
Allow [1 max] (as MP2) if 13 m is obtained due to use of 15 m s⁻¹ rather than 15 sin or 15 cos 50. If no unit given, assume metre.

i
$F=\ll \frac{\left(0.058\times 15\right)}{0.023}=\gg 38\ll \mathrm{N}\gg$ OR 37.8«N»
Do not penalise sf here. Working not required.

ii
force of ball on racket is equal to force of racket on ball or is 38N
Do not accept “same force”.
Allow ECF from force value in bi

ball exerts force in opposite direction to force of racket on ball
Accept “opposite force” for “in opposite direction”.
Do not accept undefined references to “reaction” the direction of the forces must be clear.