IB PHYSICS HL(Higher level) – 2024 – Practice Questions- All Topics
Topic 2.1 – Motion
Topic 2 Weightage : 9 %
All Questions for Topic 2.1 – Distance and displacement , Speed and velocity , Acceleration , Graphs describing motion , Equations of motion for uniform acceleration , Projectile motion , Fluid resistance and terminal speed
Question
Two players are playing table tennis. Player A hits the ball at a height of 0.24 m above the edge of the table, measured from the top of the table to the bottom of the ball. The initial speed of the ball is 12.0 m s-1 horizontally. Assume that air resistance is negligible.
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(a) Show that the time taken for the ball to reach the surface of the table is about 0.2 s. [1]
(b) Sketch, on the axes, a graph showing the variation with time of the vertical component of velocity vv of the ball until it reaches the table surface. Take g to be +10 m s-2 . [2]
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(c) The net is stretched across the middle of the table. The table has a length of 2.74 m and the net has a height of 15.0 cm. Show that the ball will go over the net. [3]
(d) The ball bounces and then reaches a peak height of 0.18 m above the table with a horizontal speed of 10.5 m s-1. The mass of the ball is 2.7 g.
(i) Determine the kinetic energy of the ball immediately after the bounce. [2]
(ii) Player B intercepts the ball when it is at its peak height. Player B holds a paddle (racket) stationary and vertical. The ball is in contact with the paddle for 0.010 s.
Assume the collision is elastic.
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Calculate the average force exerted by the ball on the paddle. State your answer to an appropriate number of significant figures. [3]
▶️Answer/Explanation
Ans:
a t = « \(\sqrt{\frac{2d}{g}}\) = »0.22 «s » OR t= \(\sqrt{\frac{2\times0.24}{9.8}}\) Answer to 2 or more significant figures or formula with variables replaced by correct values.
b increasing straight line from zero up to 0.2 s in x-axis √ with gradient = 10
c t= \(\frac{1.37}{12}\) = «0.114 s» y = \(\frac{1}{2}\) × 10 × 0.1142so (0.24-0.065) = 0.175>0.15 OR 0.065 < (0.24-0.15) «so it goes over the net» ALTERNATIVE« 2 0.24 0.15 0.09 = so» t s = 0.134 √ 0.134 12 1.6m × = 1.6 1.37 > «so ball passed the net already»
d i ALTERNATIVE 1 KE=
+ mgh = 0.0027 × 10.
+0.0027 + 9.8 0.18 √ 0.15 «J» ALTERNATIVE 2 Use of vx = 10.5AND vy = 1.88 to get » V = « \(\sqrt{10.5a^{2}+ 1.88a^{2}}\) = » 10.67 m s−1 = » KE=
× 0.0027 ×10.672 0.15 «J »
d.ii v 21 m s−1 ∆ = » F= \(\frac{0.0027\times 21 }{0.01}\) OR 5.67 «N» any answer to 2 significant figures «N»
