(b) Find the increase in the car's gravitational potential energy when it is raised 1.00 m. (d) Calculate the work done by P in moving the smaller piston.

A student evaluates a weight loss program by calculating the number of times she would need to climb a 10.0 m high flight of steps in order to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat can release 3.77 x 10'J of chemical energy and the body can convert about 21.2% of this into mechanical energy (the rest goes into internal energy.) HINT (a) How much mechanical energy (in J) can the body produce from 0.450 kg of fat? (b) How many trips up the flight of steps are required for the 52.0 kg student to lose 0.450 kg of fat? Ignore the relatively small amount of energy required to return down the stairs. trips Need Help? Read It Watch It

Let W = (2.70 ✕ 105 J) ln(Vf /Vi). Solve for the unknown quantity in each of the following cases:   (a) the final volume Vf is three times the initial volume Vi  W= ______Joules (b) the initial volume is 1.00 m3 and the work W is 3.25 ✕ 105 J Vf =  ______ m3

(a) A steel ball of mass 0.2 kg is projected vertically upwards, from the top of a building 100 m high, with an initial velocity of 40 m.s. Ignore air frietion and calculate: i. the total mechanical energy of the ball the time it was projected. ii. the total mechanical energy of the ball the time it reached the ground level (i.e at the bottom of the building) -1 iii. the total mechanical energy of the ball the time it reaches its maximum height above the ground. iv. the velocity of the ball the time it reached the ground level v. time taken by the ball to reach the ground level from the time it was projected vi. the maximum height above the ground the ball reached vii. the velocity of the ball the time it was 20 m above the ground (b) Two objects of mass 12 kg and 8 kg respectively move towards each other at velocities 10 m.s and 5 m.s respectively. If the objects unite during collision, calculate the resultant velocity. Page 5