OCR M1 2011 June — Question 3

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2011
SessionJune
TopicNewton's laws and connected particles

3 A block \(B\) of mass 0.8 kg is pulled across a horizontal surface by a force of 6 N inclined at an angle of \(60 ^ { \circ }\) to the upward vertical. The coefficient of friction between the block and the surface is 0.2 . Calculate
  1. the vertical component of the force exerted on \(B\) by the surface,
  2. the acceleration of \(B\). The 6 N force is removed when \(B\) has speed \(4.9 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  3. Calculate the time taken for \(B\) to decelerate from a speed of \(4.9 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) to rest.