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Q. A wooden raft has a mass of 45 kg. When empty it floats in water (density 1000 kg/m3) with 68% of its volume submerged. What mass of sand can be put on the raft without it sinking?
Q. A plate carries a charge of -3.0uC, while a rod carries a charge of +2.0uC. How many electrons must be transferred from the plate to the rod, so that both objects have the same charge.
A man pushes a lawn mower on a level lawn with a force of 186 N. If 35 percent of this force is directed downward, how much work is completed by the man in pushing the mower 6.5 m.
A cannonball shot with the initial velocity of 129 m/s at an angle of 36° follows a parabolic path and hits a balloon at the top of its trajectory. Neglect air resistance, how fast is the cannonball going as it hits the balloon.
Discuss briefly centripetal acceleration, the speed and the force exerted by a ball attached to a string.
A cart carrying a vertical missile launcher moves horizontally at the constant velocity of 30.1 to the right. It launches a rocket vertically upward. The missile has an initial vertical velocity of 40.33 relative to the cart.
Two packages at UPS start sliding down a ramp 40 degrees from the horizontal, Package A is sliding down in front of Package B. Package A has a mass of 3.50 and a coefficient of kinetic friction of 0.220. Package B has a mass of 8.00 and a coefficient..
A 10.60 weather rocket generates a thrust of 220. The rocket, pointing upward, is clamped to the top of the vertical spring. The bottom of the spring, whose spring constant is 450, is anchored to the ground.
A baseball is bunted down the third-base line leaving the bat from a height of 0.850m with an initial velocity of 4.00m/s at an angle of 37.87° above horizontal.
A 150 g ball and a 250g ball are connected by a 35{rm cm}-long, massless, rigid rod. The balls rotate about their center of mass at 150 rpm.
Work out the buoyant force due to the surrounding air on a man weighing 800 {rm N}. Imagine his average density is the same as that of water, and surrounding air temperature is 0 rm ^circ C.
The length of a string is 322 cm. It is held fixed at each end. The string vibrates in seven sections; such as the string has seven antinodes, and the string vibrates at 160 Hz.
A block has an initial speed V(o) > 0 on a linear trajectory on the surface with friction coefficient u and air resistance (F = cv^2). Derive an equation that will represent the velocity (V) as a function of the position of the block (x). So V(x).
A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 53.0° above the horizontal at a point 26.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall.
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