For the Love of Hamlet
SPH 4U Worksheet
1) A spring with spring constant 450 N/m is compressed 15cm and is used to fire a 5g plastic ball straight up in the air. Find:
a) the launch speed
b) the maximum height to which the ball rises
2) A pendulum with a mass of 50g on it at a height of 30cm is allowed to swing. At the bottom of its swing it strikes a horizontal spring that compresses 5cm in stopping the pendulum. What is:
a) the spring constant?
b) the speed of the pendulum bob when the spring is only compressed by 3cm?
3) A ball of coefficient of restitution 0.86 is dropped from a 20m high balcony. How many times does it pass a mark at a height of 8.62m?
4) Inspector Gadget loses control of his spring shoes and after leaping off a 15m high balcony, reaches a height of 1.7m after 4 bounces. What was the coefficient of restitution of his shoe springs?
5) A ball u =0.62 is dropped from a height of 65cm. If it has a diameter of
3.8cm, how many bounces will it appear to make?
6) A car 1.6t is supported by 4 gas shocks. If the weight is evenly distributed and each shock compresses 6cm, what is the spring constant for the CO gas in the shock?
PRACTICE MOMENTUM SHEET
1. A 3.0 kg puck traveling at 100 m/s on a frictionless surface strikes a second puck of 1.0 kg square on. Find
(a) the combined final speed if they stick together.
(b) if the collision is perfectly elastic, their individual speeds if the pucks do not stick together.
2. A bullet of mass 10 g has a muzzle velocity of 300 m/s. Find
(a) the momentum of the bullet
(b) the recoil velocity of the gun if its mass is 2.0 kg.
3. A 70 kg man dives away from a stationary canoe with a velocity of 3.0 m/s parallel to the water. If the canoe has a mass of 150 kg, find its recoil velocity.
4. A steel sphere of mass 0.10 kg is fired horizontally with a velocity of 30 m/s into a block of plasticine of mass 1.0 kg at rest. With what velocity does the combination move away?
5. If
1) A spring with spring constant 450 N/m is compressed 15cm and is used to fire a 5g plastic ball straight up in the air. Find:
a) the launch speed
b) the maximum height to which the ball rises
2) A pendulum with a mass of 50g on it at a height of 30cm is allowed to swing. At the bottom of its swing it strikes a horizontal spring that compresses 5cm in stopping the pendulum. What is:
a) the spring constant?
b) the speed of the pendulum bob when the spring is only compressed by 3cm?
3) A ball of coefficient of restitution 0.86 is dropped from a 20m high balcony. How many times does it pass a mark at a height of 8.62m?
4) Inspector Gadget loses control of his spring shoes and after leaping off a 15m high balcony, reaches a height of 1.7m after 4 bounces. What was the coefficient of restitution of his shoe springs?
5) A ball u =0.62 is dropped from a height of 65cm. If it has a diameter of
3.8cm, how many bounces will it appear to make?
6) A car 1.6t is supported by 4 gas shocks. If the weight is evenly distributed and each shock compresses 6cm, what is the spring constant for the CO gas in the shock?
PRACTICE MOMENTUM SHEET
1. A 3.0 kg puck traveling at 100 m/s on a frictionless surface strikes a second puck of 1.0 kg square on. Find
(a) the combined final speed if they stick together.
(b) if the collision is perfectly elastic, their individual speeds if the pucks do not stick together.
2. A bullet of mass 10 g has a muzzle velocity of 300 m/s. Find
(a) the momentum of the bullet
(b) the recoil velocity of the gun if its mass is 2.0 kg.
3. A 70 kg man dives away from a stationary canoe with a velocity of 3.0 m/s parallel to the water. If the canoe has a mass of 150 kg, find its recoil velocity.
4. A steel sphere of mass 0.10 kg is fired horizontally with a velocity of 30 m/s into a block of plasticine of mass 1.0 kg at rest. With what velocity does the combination move away?
5. If