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A wooden block of mass m kg is at rest on a table, 1.6 metres from an edge. The block is pulled directly towards the edge by a horizontal string.
A water-skier is being towed by a motor-boat. Given that her acceleration of 0.8 m s is provided by a force of 52 N, calculate her mass.
For the first stage of its motion on the runway, before take-off, an aircraft of mass 2200 kg has a constant acceleration of 4.2 m s2.
A van is pulling a broken-down car of mass 1200 kg along a straight horizontal road. The only force acting on the car which affects the motion of the car is the tension in the horizontal towbar. Calculate the acceleration of the car when the tension is 750 N.
The engine of a car of mass 800 kg which is travelling along a straight horizontal road, is producing a driving force of 1200 N.
A cyclist is free-wheeling down a long straight hill. The times between passing successive kilometre posts are 100 seconds and 80 seconds.
If a ball is placed on a straight sloping track and then released from rest, the distances that it moves in successive equal intervals of time are found to be in the ratio 1:3:5:7:….
A train travels from a station P to the next station Q, arriving at Q exactly 5 minutes after leaving P. The (t,v) graph for the train’s journey is approximated by three straight line segments, as shown in the figure. (i) Write down the acceleration of the train during the first minute of the journey. (ii) Find the distance from P to Q.
A man is running for a bus at 3 m s. When he is 100 m from the bus stop, the bus passes him going at 8 m s1. If the deceleration of the bus is constant, at what constant rate should the man accelerate
A woman stands on the bank of a frozen lake with a dog by her side.
