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A cart of mass M = 2.60 kg can roll without friction on a level track. A light string draped over a light, frictionless pulley connects the cart to a hanger with mass m = 0.204 kg. The cart is released from rest, allowing it to roll, pulled by the falling hanger. What is the formula for the acceleration a of the cart in terms of the cart's mass M, the hanger's mass m, and the acceleration of gravity g?
A person driving her car at 57km/h approaches an intersection just as the traffic light turns yellow. She knows that yellow light lasts only 2.0 s before turning to red, and she is 30m away from the near side of the intersection.
A person of mass 75 stands at the center of a rotating merry-go-round platform of radius 2.8 and moment of inertia 920. The platform rotates without friction with angular velocity 1.78. The person walks radially to the edge of the platform. Compute a..
An amount of ideal gas is con?ned to a sealed box at one-half atmospheric pressure, i.e., 50.65 kPa. With clever control, the volume of the box is reduced to 1/8 of its original value (without any gas leaking in or out), while the temperture is ke..
The vertical displacement of particles in a string (when a wave is propagating through it) is given by y = (0.02) sin[(10?)t - (8?)x], where everything is measured in standard units, meters and seconds. What is the amplitude of the wave?
Strictly speaking, as more and more skyscrapers are being built on surface of earth, does the day tend to become longer or shorter.
What is the magnitude of displacement
Coherent light with wavelength 603 passes through two very narrow slits, and the interference pattern is observed on a screen a distance of 3.00 from the slits.
A train is travelling up a 4.0 incline at the speed of 3.25 when the last car breaks free and begins to coast without friction. How long does it take for the last car to come to rest momentarily.
suppose that the gold ions carry one elementary unit of positive charge.
If 20 grams of hot water at 80°C is poured into a cavity in a very large block of ice at 0°C, what will be the final temperature of the water in the cavity? How much ice should melt in order to cool the hot water down to this temerature.
A Father pulls his sons across the son on a sled. The children and sled together weigh 550-N. The father pulls the sled with a force of 400-N at an angle of 40 degrees above the horizontal. Avoiding friction, determine out the acceleration of the ..
Find out the magnitude and direction of the velocity of the heavier fragment relative to the ground just after the explosion. Please provide step-by-step method to solve the problem.
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