MEI Mechanics 1 Applying Newton's second law along a line ...
MEI Mechanics 1 Applying Newton's second law along a line ...
MEI Mechanics 1 Applying Newton's second law along a line ...
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<strong>MEI</strong> <strong>Mechanics</strong> 1<strong>Applying</strong> Newton’s <strong>second</strong> <strong>law</strong> <strong>along</strong> a <strong>line</strong>Section 1: IntroductionExercise1. In each force diagram, and find the quantities marked with a letter.(i) X (ii) X (iii)X4 ms -2 10g4 ms -2 10g10gY4 ms -2(iv)20 N196 N(v)4 ms -24 ms -2 mgmg2. Find the acceleration of the block in each case.(i)4.9 N (ii) 90 Naa10g8g3. A particle of mass 5 kg is moving with an acceleration of 3 ms -2 . Find themagnitude of the resultant force on the particle.4. A mass of 45 kg is acted on by a single force of 9 N. Find the acceleration of theparticle.5. A resultant force of 40 N acting on a particle of mass m kg produces anacceleration of 2 ms -2 . Find the value of m.© <strong>MEI</strong>, 11/09/08 1/2
<strong>MEI</strong> M1 Newton’s 2 nd <strong>law</strong> Section 1 Exercise6. A particle of mass 10 kg is pulled <strong>along</strong> a smooth horizontal plane by a horizontalstring. Find the tension in the string when the particle is accelerating at 5 ms -2 .7. A body of mass 2 kg lies on a smooth horizontal plane. A horizontal force of 10 Nacts on the body in a direction due East, while a horizontal force of 14 N acts onthe body in a direction due West. Find the resulting acceleration.8. A package of mass 8 kg is lowered by means of a vertical cable with a downwardacceleration of 2 ms -2 . Find the tension in the cable.9. Jack and Jill went up the hill to fetch a pail of water. The pail had a mass 5 kgwhen empty and 15 kg when full. The pail was lowered into the well at a constantacceleration of 4 ms -2 . When the pail was full it was raised at a constant speed3 ms -1 .Neglecting the weight of the rope, find the tension in the rope(i) when the pail was being lowered,(ii) when the full pail was being raised.10. A lift descends with an acceleration of 1.5 ms -2 , then moves at a constant speeduntil it is retarded at 1 ms -2 . A package of mass 20 kg stands on the floor of the liftduring the journey. Find the magnitude of the force it exerts on the floor of the liftat each stage.11. A vehicle of mass 2000 kg is travelling <strong>along</strong> a straight horizontal road at90 km h -1 . It is brought to rest in a distance of 500 m by a force of magnitude PNewtons. Find P and the time taken to come to rest.© <strong>MEI</strong>, 11/09/08 2/2
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