OCR M1 2010 June — Question 1 8 marks

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2010
SessionJune
Marks8
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicConstant acceleration (SUVAT)
TypeFind acceleration from distances/times
DifficultyModerate -0.8 This is a straightforward three-part SUVAT question requiring direct application of standard kinematic equations and Newton's second law. Part (i) uses v=u+at, part (ii) uses v²=u²+2as, and part (iii) applies F=ma with friction force μR=μmg. All parts are routine calculations with no problem-solving insight required, making it easier than average but not trivial since it requires correct setup of multiple equations.
Spec3.02d Constant acceleration: SUVAT formulae3.03r Friction: concept and vector form3.03t Coefficient of friction: F <= mu*R model

1 A block \(B\) of mass 3 kg moves with deceleration \(1.2 \mathrm {~m} \mathrm {~s} ^ { - 2 }\) in a straight line on a rough horizontal surface. The initial speed of \(B\) is \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). Calculate
  1. the time for which \(B\) is in motion,
  2. the distance travelled by \(B\) before it comes to rest,
  3. the coefficient of friction between \(B\) and the surface.

1 A block $B$ of mass 3 kg moves with deceleration $1.2 \mathrm {~m} \mathrm {~s} ^ { - 2 }$ in a straight line on a rough horizontal surface. The initial speed of $B$ is $5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. Calculate\\
(i) the time for which $B$ is in motion,\\
(ii) the distance travelled by $B$ before it comes to rest,\\
(iii) the coefficient of friction between $B$ and the surface.

\hfill \mbox{\textit{OCR M1 2010 Q1 [8]}}