The masses of the Atwood's machine are M = 7.563 kg and m = 2.214 kg. The acceleration (m/s2) of the system

You are playing a game and you push a cart to give it in. speed. The cart starts at the bottom (zero) of a ramp and after reaching the top of the ramp, the cart travels across a horizontal track w/ friction. The mass of the cart is 44 x 10^-3 kg. The ramp is 56 cm high. The length is 70 cm. What can you infer of the intial speed in (m/s)

A person pushing a uniformly-loaded 31.7 kg wheelbarrow of length L with pushing force P is attempting to get it over a step. The maximum horizontal force that the person can apply is P, = 233 N. What is the maximum height h of the step, expressed as a fraction n of the wheel's radius R. that the person can get the wheelbarrow over? The gravitational acceleration is g = 9.81 m/s². 8459 R Incorrect hnR

An adventurous archeologist (m = 85.0 kg) tries to cross a river by swinging from a vine. The vine is10.0 m long and his speed at the bottom of the swing is 8.00 m/s. The archeologist does not know that the vine has a breaking strength of 1,000 N. Does he make it across the river without falling in?

The cable lifting an elevator is wrapped around a 1.2-m-diameter cylinder that is turned by the elevator's motor. The elevator is moving upward at a speed of 1.9 m/s . It then slows to a stop, while the cylinder turns one complete revolution.How long does it take for the elevator to stop?

You are in charge of a cannon that exerts a force 17100 N on a cannon ball while the ball is in the barrel of the cannon. The length of the cannon barrel is 2.37 m and the cannon is aimed at a 36.7 ◦ angle from the ground. The acceleration of gravity is 9.8 m/s 2 . If you want the ball to leave the cannon with speed v0 = 89 m/s, what mass cannon ball must you use? Answer in units of kg. Answer in units of kg.

Some physics students are studying periodic motion using an oscillating mass on a spring. After collecting data, they sketched the position versus time graph shown. If the spring constant is 5.84N/m, then what is the mass, in kilograms?

I have attempted the forumlas above multiple times and my answer I am getting for Yg is .0958m.  I have entered it as .096, .095, .0958 and each time I am being told answer is wrong.  Is there an issue with my calculation?

Besides the gravitational force, a 2.90-kg object is subjected to one other constant force. The object starts from rest and in 1.20 s experiences a displacement of (4.30î − 3.30ĵ) m, where the direction of ĵ is the upward vertical direction. Determine the other force. (Express your answer in vector form.)

An object is pushed in x and y directions with the force vector F=-230i+10j (N). The object weighs 20kg and goes through a displacement of r=-2i-5j (m). What would be the final velocity of the object?