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A uniform can with mass M and height H is filled to the top with water. The initial mass of the water is 2M, twice the mass of the can.
(a) What is the vertical position of the center of mass of the can plus water?
(b) A small puncture is made in the can, so that the water can drain out. If the height of the water at any time is y, what is the height of the center of mass of the can plus water system, in terms of H and y?
(c) What is the minimum height of the center of mass as the water drains out?
Imagine that in the distant future NASA lands a manned mission on one of many Jupiter's moons, Calculate the diameter of the moon
A cart of mass M1 = 5.00 kg and initial speed = 4.00 m/s collides head on with a second cart of mass M2 = 3.00 kg at rest. find the speed of M2 after the collision
Conside a spherical asteroid (radius 10km and constant mass density 3g/cm^3). The core extends to 3km, Determine the temperature at the center of the asteroid
The pilot of an airplane travelling 170 wants to drop supplies to flood victims isolated on a patch of land 200 below. The supplies must be dropped how many seconds before the plane is directly overhead.
A force F= (6x - 2y)N acts on a particle that undergoes a displacement delta r= (3x + y)m. Find (a) the work done by the force on the particle and (b) the angle between F and r.
A man lifts a 20.0-kg bucket of concrete from the ground up to the top of a 20.0-m tall building. How much work was done by the man in lifting the bucket
What is the specific heat capacity of other substance.
Two 3.5 kg bodies, A and B, collide. The velocities before the collision are A = (21 + 30) m/s and B = (-34 + 11) m/s. After the collision, ′A = (-4.5 + 16) m/s.
A bunch of grapes is placed in a spring scale at a supermarket. The grapes oscillate up and down with a period of 0.32s, What is the weight of the grapes
Jill jumps off the diving board with a velocity of 1.7 m/s at 38 degrees above horizontal. if the water surface is 2 meters below the board: A. how long will it take for her to hit the water? B. where will she hit the water? C. with what velocity ..
A crankshaft with a diameter of 3.0 cm , rotating at 2500 rpm comes to a halt in 1.50 s, What is the tangential acceleration of a point on the surface of the crankshaft
How fast is the center of mass of the two-stone system. A worker stands still on a roof sloped at an angle of 28° above the horizontal. He is prevented from slipping by a static frictional force of 470 N. Find out the mass of the worker.
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