3) The script of an action movie includes a race car (mass = m and length = 2L) to accelerate along a flattop boat (mass = 4m and length = 8L), from one end of the boat to the other end, where the car will then jump the gap between the boat and a dock. The boat is initially touch the dock as in Figure. Both the boat and the car has a uniform mass distribution. Determine what the width of the gap will be just as the car is about to make the jump. Boat- Dock Dock7

While catching a cricket ball . the player lowers his hand . Why?

(III) A bullet of mass m = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg, which then com- presses a spring (k = 140 N/m) by a distance x = 0.050 m before coming to rest. The coefficient of kinetic friction between the block and table is M = 0.50. (a) What is the initial velocity (assumed horizontal) of the bullet? (b) What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) %3D in the collision between the bullet and the block?

(B) A maintenance man (climber) tries to maintain one of the power stations located at thetop of the mountain in the situation of winter. During his work and by mistake drops hiswater bottle which then slides 100 M down the side of a steep icy slope to a point which is10 m lower than the climber's position. The mass of the climber is 60 kg and his water bottlehas a mass of 500 g.1) If the bottle starts from rest, how fast is it travelling by the time it reaches the bottomof the slope? (Neglect friction.)What is the total change in the climber's potential energy as she climbs down the mountainto fetch her fallen water bottle? i.e. what is the difference between her potential energy atthe top of the slope and the bottom of the slope? Analysis all the above situation.

(a) Show that the CM of a uniform thin rod of length / and mass M is at its center. (b) Determine the CM of the rod assuming its linear mass density A (its mass per unit length) varies linearly from A = at the left end to double that value, A = 2A0, at the right y end. dm λdx X 0 х dx

If you hit somebody from behind, his head seems to snap backwards. Why?

Determine the CM of the rod assuming its linear mass density 휆 (its mass per unit length) varies linearly from 휆 = 휆 표at the left end to double that value, 휆 = 2휆 표, at the right end.

If 1 of the Earth’s mass were transferred to the Moon, how far would the center of mass of the Earth-Moon-population system move? The mass of the Earth is 5.971024kg and that of the Moon is 7.341022kg . The radius of the Moon’s orbit is about 3.84105m .

Three skydivers are plummeting earthward. They are initially holding onto each other, but then push apart. Two skydivers of mass 70 and 80 kg gain horizontal velocities of 1.2 m/s north and 1.4 m/s southeast, respectively. What is the horizontal velocity of the third skydiver, whose mass is 55 kg?