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Edexcel | Physics WPH0 | W 18 4 1 | 1 hour 30 minutes
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15
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The diagram represents a toy aeroplane on the end of a string.

                 

The toy aeroplane follows a horizontal path of radius r and the string is at an angle ? to

the vertical.

15
(a) (I)
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2 Mark s

Complete a free-body force diagram for the toy aeroplane. Ignore any forces due

to the air

                                 

W/mg/weight – labelled arrow downwards

T/tension only – labelled arrow parallel to string on diagram

(Maximum mark available reduced by one for each incorrect force)

Example of diagram

15
(a) (II)
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2 Mark s

The toy aeroplane completes 36 revolutions in one minute.

Calculate the speed of the toy aeroplane.

r = 40 cm

Speed =

15
(a) (III)
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3 Mark s

By considering the vertical and horizontal components of tension, show that the

angle ? is independent of the mass of the toy aeroplane.

15
(b)
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2 Mark s

 be determined experimentally.

Either

Video and playback

Viable method to measure maximum angle from video

Or

Viable method to measure diameter of rotation and length of string

use of correct trigonometry to calculate angle

Or

Viable method to measure diameter of rotation and height of point of suspension above aeroplane

use of correct trigonometry to calculate angle

Or

Viable method to measure rotational period and radius/diameter of rotation

Calculation of angle using appropriate formulae

Or

Viable method to measure speed and radius/diameter of rotation

Calculation of angle using appropriate formulae

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