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Question 17N.2.SL.TZ0.1e.i

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Date November 2017 Marks available [Maximum mark: 3] Reference code 17N.2.SL.TZ0.1e.i
Level SL Paper 2 Time zone TZ0
Command term Show that Question number e.i Adapted from N/A
e.i.
[Maximum mark: 3]
17N.2.SL.TZ0.1e.i

A girl on a sledge is moving down a snow slope at a uniform speed.

The sledge, without the girl on it, now travels up a snow slope that makes an angle of 6.5˚ to the horizontal. At the start of the slope, the speed of the sledge is 4.2 m s–1. The coefficient of dynamic friction of the sledge on the snow is 0.11.

(e.i)

Show that the acceleration of the sledge is about –2 m s–2.

[3]

Markscheme

«friction force down slope» = μmg cos(6.5) = «5.9 N»

«component of weight down slope» = mg sin(6.5) «= 6.1 N»

«so a = F m » acceleration = 12 5.5 = 2.2 «m s–2»

Ignore negative signs

Allow use of g = 10 m s–2