OCR M1 2009 January — Question 6

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2009
SessionJanuary
TopicSUVAT in 2D & Gravity

6 Small parcels are being loaded onto a trolley. Initially the parcels are 2.5 m above the trolley.
  1. A parcel is released from rest and falls vertically onto the trolley. Calculate
    (a) the time taken for a parcel to fall onto the trolley,
    (b) the speed of a parcel when it strikes the trolley.

  2. \includegraphics[max width=\textwidth, alt={}, center]{470e70de-66ba-4dcc-a205-0c92f29471b1-4_327_723_603_751} Parcels are often damaged when loaded in the way described, so a ramp is constructed down which parcels can slide onto the trolley. The ramp makes an angle of \(60 ^ { \circ }\) to the vertical, and the coefficient of friction between the ramp and a parcel is 0.2 . A parcel of mass 2 kg is released from rest at the top of the ramp (see diagram). Calculate the speed of the parcel after sliding down the ramp.