Mechanics Module M1

Advanced Subsidiary / Advanced Level

Paper B

Time: 1 hour 30 minutes

Instructions and Information

Candidates may use any calculator except those with a facility for symbolic algebra and / or calculus. Full marks may be obtained for answers to ALL questions. Mathematical and statistical formulae and tables are available. This paper has 7 questions. When a numerical value of g is required, use g = 9.8 m s-2 .

Advice to Candidates

You must show sufficient working to make your methods clear to an examiner. Answers without working will gain no credit.

Written by Shaun Armstrong & Chris Huffer

Solomon Press

These sheets may be copied for use solely by the purchaser’s institute.

1.

A constant force, F, acts on a particle, P, of mass 5 kg causing its velocity to change from ( – 2i + j) m s-1 to (4i – 7j) m s-1 in 2 seconds. (a) (b) Find, in the form ai + bj, the acceleration of P. (2 marks)

Show that the magnitude of F is 25 N and find, to the nearest degree, the acute angle between the line of action of F and the vector j. (5 marks)

2.

A particle A of mass 3m is moving along a straight line with constant speed u m s-1. It collides with a particle B of mass 2m moving at the same speed but in the opposite direction. As a result of the collision, A is brought to rest. (a) Show that, after the collision, B has changed its direction of motion and that its speed has been halved. (4 marks)

Given that the magnitude of the impulse exerted by A on B is 9m Ns, (b) 3. find the value of u. (3 marks)

P

B

A Fig. 1

Q

Figure 1 shows two window cleaners, Alan and Baber, of mass 60 kg and 100 kg respectively standing on a platform PQ of length 3 metres and mass 20 kg. The platform is suspended by two vertical cables attached to the ends P and Q. Alan is standing at the point A, 1.25 metres from P, Baber is standing at the point B and the tension in the cable at P is twice the tension in the...

(1)