A-LevelMathematicsMechanics9709/41 · Oct/Nov 2017 · Q14 Marks
A block of mass 3 kg is initially at rest on a smooth horizontal floor. A force of 12 N, acting at an angle of 25° above the horizontal, is applied to the block. Find the distance travelled by the block in the first 5 seconds of its motion.
- (a)A block of mass 3 kg is initially at rest on a smooth horizontal floor. A force of 12 N, acting at an angle of 25° above the horizontal, is applied to the block. Find the distance travelled by the block in the first 5 seconds of its motion.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.
- [M1] [12 cos 25 = 3a] For use of Newton's second law
- [A1] a = 4 cos 25 = 3.625
- [M1] [s = ½ x 4cos 25 × 5²] For use of s = ut + ½at² OE
- [A1] Distance = 45.3 m
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