Tutorial 6
1. Projectile Motion – A cannon is placed near the edge of a cliff (angle relative to the horizontal is
0), 100 m above the sea. A speedboat, 100 m from the base of the cliff, is stationary.
a) With what speed should the cannonball be fired at if it is to hit the boat?
b) If the boat were moving away from the cliff at the same time as the cannon was fired, what
would you have to do to the speed of the cannonball to hit the boat?
2. A plane is traveling at constant velocity of 90 m/s [East 40 South] for 1 hour, 3 minutes and 6
seconds. Determine
a) component of velocity in the x direction
b) component of the velocity in the y direction
c) the distance the plane travels
d) the distance the plane travels in the x direction
e) the distance the plane travels in the y direction
3. A mysterious substance has a mass of 110 grams. The substance is at an initial temperature of -14
degrees Celsius and melts at a temperature of 4 degrees Celsius. The latent heat of fusion (melting)
is 3000 Joules/gram. The specific heat of capacity while the substance is a solid is 11500
Joules/(kg C) and while it is a liquid is 25000 Joules/(kg C). If 450 000 Joules of energy are
transferred to the substance, determine
a) the energy required to warm the substance to its melting point
b) the energy required to completely melt the substance
c) the final temperature of the substance
4. A metal (mass is 200 grams, specific heat capacity is 0.3 J/(g C)) initially at 80 degrees Celsius is
placed in water (mass is 0.8 kg, specific heat capacity is 4.2 J/(g C)) initially at 12 degrees Celsius.
Calculate the final temperature of the water and metal when equilibrium is reached.
5. A substance has a half-life of 110 days. Initially, the substance has a mass of 2.6 micrograms.
How much of the substance remains after 340 hours, 45 minutes and 10 seconds?
6. A substance (23994 X) undergoes several decay processes, including two alpha decays and one beta
minus decay. Determine the atomic mass and the atomic number of the final substance.