OCR MEI M1 2010 June — Question 3

Exam BoardOCR MEI
ModuleM1 (Mechanics 1)
Year2010
SessionJune
TopicNewton's laws and connected particles

3 The three forces \(\left( \begin{array} { r } - 1
14
- 8 \end{array} \right) \mathrm { N } , \left( \begin{array} { r } 3
- 9
10 \end{array} \right) \mathrm { N }\) and \(\mathbf { F } \mathrm { N }\) act on a body of mass 4 kg in deep space and give it an acceleration of \(\left( \begin{array} { r } - 1
2
4 \end{array} \right) \mathrm { m } \mathrm { s } ^ { - 2 }\).
  1. Calculate \(\mathbf { F }\). At one instant the velocity of the body is \(\left( \begin{array} { r } - 3
    3
    6 \end{array} \right) \mathrm { m } \mathrm { s } ^ { - 1 }\).
  2. Calculate the velocity and also the speed of the body 3 seconds later.