A block is projected up a frictionless inclined plane with initial speed v0 = 6.96 m/s. The angle of incline is θ = 23.4°. How long does it take to get to its highest point?

A block is launched up a 3.75 m high frictionless inclined plane (0 = 35.0°) with an %3D initial speed of vo = 12.5 m/s as shown in the figure below. (a) What is the block's %3D speed as it leaves the ramp? (b) How far from the base of the ramp does the block land? (Air resistance is negligible) Vo=12.5 m/s 3.75 m 0= 35.0° X= ?

A person on an icy expedition is trying to lower a crate of mass m1 = 5.65 kg crate to the bottom of a steep ravine of height h2 21.8 m using a rope over a simple pulley. The person, who m2 frictionless %| weighs m2 = 60.9 kg, is being careful to lower the crate at a constant speed of 1.50 m/s. Unfortunately, when the crate reaches a point h = 12.1 meters above the ground, the person slips and the crate immediately accelerates toward the ground, dragging the hapless person across the ice and toward the edge of the cliff. h If we assume the ice is perfectly slick (that is, no friction between the person and the ice once he slips and falls down), at what speed will the crate hit the ground? Assume also that the rope is long enough to allow the crate to hit the ground before the crewman slides over the side of the cliff. speed: m/s At what speed will the person hit the bottom of the ravine? (Assume no air friction.) speed: m/s

Your answer is partially correct. In the figure a block slides along a path that is without friction until the block reaches the section of length L = 0.66 m, which begins at height h = 1.1 m, on a ramp of angle 0 = 32°. In that section the coefficient of kinetic friction is 0.410. The block passes through point A with a speed of 8.4 m/s. If the block can reach point B (where the friction ends), what is its speed there, and if it cannot, what is its greatest height above A? Number i 8 6.46 Unit m/s

A box starts from rest and slides 40 m down a frictionless inclined plane. The total vertical displacement of the box is 20 m. How long does it take for the block to reach the end of the plane?

You throw a rock of mass 0.750 kg straight up in the air with an initial speed of 20.0 m/s. Throughout the flight of the rock assume there’s a constant air resistance force of magnitude 1.25 N acting on it. The trajectory of the rock is vertically up and down, with no horizontal motion. (a) What is the maximum height reached by the rock?  (b) What is the speed of the rock when it returns to the point of release?

While at a water park, Hunter tries the water slide. The starting point is 13.0 m above the ground. He pushes off with an initial speed of 2.5 m/s. If the slide is frictionless, how fast will Hunter be traveling at the bottom?

A carousal has a radius R=7 m, with cables tying the seats being L=10 m long. What should be the speed of the seats so that the cables make an angle of A= 19 degrees with the vertical.