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A 1-kg ball moving at a velocity of 12 m/s collides head-on with a 2-kg ball moving at 24 m/s
in the opposite direction. Calculate the velocity of each ball after collision if (a) e = 2/3, (b) the
balls stick together, and (c) the collision is perfectly elastic.
A fire hose ejects water at the rate of 60 kg of water per second at a velocity of 40 m/s. With
what force must a fireman hold on the hose to keep it stationary?
A 16 gm. mass is moving at 30cm/sec while a 4gm mass is moving at an opposite
direction at 50 cm/sec. They collide head on and stick together. What is their
velocity after collision?
A rotating wheel has a radius of 6 ft and 6 in. A point on the circumference of the
wheel moves 30ft and 2 seconds. Find the angular velocity of the wheel?
A boy tied an 80 grams stone to a string which he rotated to a circular motion with
a diameter of 100 mm. Compute the pull exerted on the string by the stone if it got
loose leaving at a velocity of 25m/sec
A man in a hot-air balloon drops an apple at height of 150m. If the said balloon is
rising at 15m/s, find the highest point reached by the apple.
A 50 kg block of wood rest on the top of the smooth plane whose length is 3m and
whose altitude is 0.8m. How long will it take for the block to slide to the bottom of
the plane when release?
A small puck taken as a point object of mass 0.5 kg is launched with a speed of V0=10m/s from O up an inclined plane of length wpm making an angle 30 with the horizontal.
1)in the absence of friction,find the distance it covers along the inclined plane.
2)the friction force is supposed constant f=5N.determine the initial speed needed for the body to cover a length of 10m along the inclined plane.
A bacterium moves with a speed of 3.5 across a petri dish with a radius of 8.4 cm. How long does it take the bacterium to traverse the petri dish? (Hint: assume it travels through the centre of the dish.)
A wheel 200mm in diameter coasts to rest from a speed of 800rpm in 600 seconds. Determine the angular acceleration?
