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A car decelerates uniformly from 20ms to rest in 12seconds, then reverses with uniform acceleration to its original starting point also in 4seconds.

a.Draw a v-t graph

a.Draw a v-t graph

a.Draw a v-t graph

A high fountain of water is in the centre of a circular pool of water. You walk the circumference of the pool and measure it to be 1.50 × 10^2 meters. You then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain. It is 55.0°. How high is the fountain?

At a crossing a truck travelling towards the north collides with a car travelling towards

the east. After the collision the car and the truck stick together and move off at an angle

of 30 º east of north. If the speed of the car before the collision was 20 ms−1, and the

mass of the truck is twice the mass of the car, calculate the speed of the truck before

and after the collision.

the east. After the collision the car and the truck stick together and move off at an angle

of 30 º east of north. If the speed of the car before the collision was 20 ms−1, and the

mass of the truck is twice the mass of the car, calculate the speed of the truck before

and after the collision.

a) A sinusoidal wave is described by

y(x, t) = 3.0 sin (5.95t − 4.20x) cm

where x is the position along the wave propagation. Determine the amplitude, wave

number, wavelength, frequency and velocity of the wave. (2×5=10)

b) Two waves, travelling along the same direction, are given by

y1(x, t) = asin (w1t − k1x)

and y2 (x, t) = asin (w2t − k2x)

y(x, t) = 3.0 sin (5.95t − 4.20x) cm

where x is the position along the wave propagation. Determine the amplitude, wave

number, wavelength, frequency and velocity of the wave. (2×5=10)

b) Two waves, travelling along the same direction, are given by

y1(x, t) = asin (w1t − k1x)

and y2 (x, t) = asin (w2t − k2x)

girl is sitting with her dog at the left end of a boat of length 10.0 m. The mass of the

girl, her dog and the boat are 60.0 kg, 30.0 kg and 100.0 kg respectively. The boat is at

rest in the middle of the lake. Calculate the centre of mass of the system. If the dog

moves to the other end of the boat, the girl staying at the same place, how far and in

what direction does the boat move?

girl, her dog and the boat are 60.0 kg, 30.0 kg and 100.0 kg respectively. The boat is at

rest in the middle of the lake. Calculate the centre of mass of the system. If the dog

moves to the other end of the boat, the girl staying at the same place, how far and in

what direction does the boat move?

horizontal rod with a mass of 10 kg and length 12 m is hinged to a wall at one end

and supported by a cable which makes an angle of 30º with the rod at its other end.

Calculate the tension in the cable and the force exerted by the hinge.

and supported by a cable which makes an angle of 30º with the rod at its other end.

Calculate the tension in the cable and the force exerted by the hinge.

A child of mass 50 kg is standing on the edge of a merry go round of mass 250 kg and

radius 3.0 m which is rotating with an angular velocity of 3.0 rad s−1. The child then

starts walking towards the centre of the merry go round. What will be the final angular

velocity of the merry go round when the child reaches the centre?

radius 3.0 m which is rotating with an angular velocity of 3.0 rad s−1. The child then

starts walking towards the centre of the merry go round. What will be the final angular

velocity of the merry go round when the child reaches the centre?

wheel 2.0 m in diameter lies in the vertical plane and rotates about its central axis

with a constant angular acceleration of 4.0 rad s−2. The wheel starts at rest at t = 0 and

the radius vector of a point A on the wheel makes an angle of 60º with the horizontal at

this instant. Calculate the angular speed of the wheel, the angular position of the point A

and the total acceleration at t = 2.0s.

with a constant angular acceleration of 4.0 rad s−2. The wheel starts at rest at t = 0 and

the radius vector of a point A on the wheel makes an angle of 60º with the horizontal at

this instant. Calculate the angular speed of the wheel, the angular position of the point A

and the total acceleration at t = 2.0s.

box of mass 8.0 kg slides at a speed of 10 ms−1 across a smooth level floor before it

encounters a rough patch of length 3.0 m. The frictional force on the box due to this

part of the floor is 70 N. What is the speed of the box when it leaves this rough surface?

What length of the rough surface would bring the box completely to rest?

encounters a rough patch of length 3.0 m. The frictional force on the box due to this

part of the floor is 70 N. What is the speed of the box when it leaves this rough surface?

What length of the rough surface would bring the box completely to rest?