1. A car initially at rest accelerates uniformly to a speed of 55km/h in 14s. Determine the accelerating force required if the mass of the car is 800kg. 2. The brakes are applied on the car in question 1 when travelling at 55km/h and it comes to rest uniformly in a distance of 50m. Calculate the braking force and the time for the car to come to rest. 3. The tension in a rope lifting a crate vertically upwards is 2.8kN. Determine its acceleration if the mass of the crate is 270kg. 4. A ship is travelling at 18km/h when it stops its engines. It drifts for a distance of 0.6km and its speed is then 14km/h. Determine the value of the forces opposing the motion of the ship, assuming the reduction in speed is uniform and the mass of the ship is 2000t. 5. A cage having a mass of 2t is being lowered down a mine shaft. It moves from rest with an acceleration of 4m/s2, until it is travelling at 15m/s. It then travels at constant speed for 700m and finally comes to rest in 6s. Calculate the tension in the cable supporting the cage during: (a) the initial period of acceleration, (b) the period of constant speed travel, (c) the final retardation period.
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