SINDH MDCAT 2015 PAPER

1. Two spherical balls of 2.0 kg and 3.0 kg masses are moving towards each other with velocities of 6 m/s and 4 m/s respectively. What must be the velocity of the smaller ball after collision, if the velocity of the bigger ball is 3 m/s?

2. An apple is thrown with a speed of 30 m/s in a direction 30 above the horizon. Find out its horizontal range. ( g = 9.8 m/s²).

3. A 1000 kg vehicle is turning round a corner at 10 m/s as it travels along an arc of a circle. If the radius of the circular path is 10 m, how large a force must be exerted by the pavement on the tyres to hold the vehicle in the circular path?

4. Consider the following examples of motion:

I. The daily motion of the earth about its own axis

II. The motion of planets round the sun

III. Sugar cane crushing machine is run by a camel that moves in circular path around the machine.

IV. Rotation of fly wheel about its axle.

Which of the following is correct?

5. What will be gravitational force of attraction between two balls each weighing 5 kg, when placed at a distance of 0.33 m apart. (G = 6.673 X 10¹¹ Nm²/kg²)

6. A 70 kg sportsman runs up a long flight of stairs in 4 seconds. The vertical height of the stairs is 4.5 m. What will be his power output in watts?

7. Calculate the final kinetic energy when a shopkeeper pushes a fruit crate, initially at rest towards another shopkeeper by exerting a constant horizontal force F of magnitude 5N through a distance of 1 meter.

8. When the component of the force is in the same direction of the displacement (0 = 0 ), the work is _____ when the direction of the force is opposite to the direction of displacement (0 = 180), the work is _____ and when the force acts at right angles to the displacement (0 90), the work is _____ .

9. A train is approaching a station at 90 km/h sounding a whistle of frequency 1000 Hz what will be the apparent frequency heard by The listener sitting on the platform if the train moves away from the station with the same speed? (speed of sound = 340 m/s).

10. A Simple pendulum completes one oscillation in 4 seconds. Calculate its length when g = 9.8 m/S², as the time period of simple pendulum is given by T = 2π √1/g .