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A ball is projected vertically upward with a velocity of 80m/s. Two seconds later a second ball is projected vertically upward with a velocity of 60m/s. At what point above the surface of earth will they meet?


Students launch identical marbles of mass mm horizontally from a toy cannon of varying mass MC, where MC is always greater than mm, as shown above. The students can attach weights to the cannon to change MC. Each time a marble is launched, the cannon slides backward before coming to rest. The coefficient of kinetic friction between the cannon and the ground is μ (mu). For each launch, the students vary the mass of the cannon and launch a marble with the same speed v relative to the ground. The students record the distance x that the cannon slides backward.


(c) If constant horizontal forces were exerted over the same distance on the cannon and on the marble after the launch, which object would require a force with a greater magnitude to completely stop it? Without manipulating or referencing equations, briefly explain your reasoning.



Students launch identical marbles of mass mm horizontally from a toy cannon of varying mass MC, where MC is always greater than mm, as shown above. The students can attach weights to the cannon to change MC. Each time a marble is launched, the cannon slides backward before coming to rest. The coefficient of kinetic friction between the cannon and the ground is μ (mu). For each launch, the students vary the mass of the cannon and launch a marble with the same speed v relative to the ground. The students record the distance x that the cannon slides backward.


(a) Without manipulating equations, explain how the distance x that the cannon slides backward changes, if at all, when marbles are launched from more massive cannons.




A projectile leaves the ground at an angle 60 to the horizontal.its kinetic energy is E . neglecting air resistance,find in terms of E it's kinetic energy at the highest point of the motion


A flywheel 500mm in diameter is brought uniformly from rest up to a speed of 300rpm in 20 seconds. Find the velocity and acceleration of a point on the rim 2 seconds after starting from rest?


A track consists of a frictionless arc XY, which is a quarter circle of radius 2m and a rough horizontal section YZ.  Block A of mass (1kg) is released from rest at point X and collides instantaneously and inelastically with identical block B at point Y.  The two blocks move together to the right, maybe sliding past point P, which is a distance 2.5m from point Y.  The coefficient of kinetic friction between the blocks and the horizontal part of the track is 0.50.  Use g = 10m/s/s. How fast is block A traveling at point Y, just before it collides with block B?





A simple pendulum has a period of 9 secs. When the length of the pendulum is squared, the period is 4 sec. Calculate the original length. 


The IMA of the pulley system shown in figure 3 is 4, how far must the applied force move it the load moves 1 ft? If the load weighs of 200 lb and the efficiency of the system is 90%, what must be the applied force?


The pitch of a jackscrew shown in figure 2 is 0.3 cm and has a lever arm of 60 cm length. What

force at the end of the lever arm will raise a load of 190 kg if the efficiency of the machine is

12 %?


an inclined plane as shown in figure 1 is used to raise an object of mass 30 kg. if the plane is inclined 5° above the horizontal and the coefficient of friction is 0.20, calculate the ideal mechanical advantage, actual mechanical advantage, and the efficiency of this machine.


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