Please use conservation of energy (kinetic and gravitational potential energy) to solve this problem. A 1.5-kg block initially at rest at the top of a 3-m incline with a slope of 30° begins to slide down the incline. The upper half of the incline is frictionless, while the lower half is rough, with a coefficient of kinetic friction μk = 0.3. (a) How fast is the block moving midway along the incline, before entering the rough section?  (b) How fast is the block moving at the bottom of the incline?

Your answer is partially correct. of magnitude 50.0 N acts on it. In the figure, a 5.20 kg block is sent sliding up a plane inclined at 0 = 37.0° while a horizontal force The coefficient of kinetic friction between block and plane is 0.330. What are the (a) magnitude and (b) direction (up or down the plane) of the block's acceleration? The block's initial speed is 4.40 m/s. (c) How far up the plane does the block go? (d) When it reache its highest point, does it remain at rest or slide back down the plane? (a) Number i -2.7 (b) down V (c) Number i Units Units m/s^2

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 block is placed on a frictionless ramp at a height h; of 14.5 m above the ground. Starting from rest, the block slides down the ramp. At the bottom of the ramp, the block slides onto a frictionless horizontal track without slowing down. At the end of the horizontal track, the block slides smoothly onto a second frictionless ramp. 01 = 43.3° 02 = 19.5° How far along the second ramp does the block travel before coming to a momentary stop, as measured along the incline of the ramp? distance traveled along second ramp: m After the block comes to a complete stop on the second ramp, it will then begin moving back down the second ramp. What is the speed of the block when it is 9.25 m, vertically, above the ground? speed of the block: m/s

A man pushing a crate of mass  m = 92.0 kg  at a speed of  v = 0.875 m/s  encounters a rough horizontal surface of length  ℓ = 0.65 m  as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.354 and he exerts a constant horizontal force of 292 N on the crate. A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude  N direction     (b) Find the net work done on the crate while it is on the rough surface. J(c) Find the speed of the crate when it reaches the end of the rough surface. m/s

The figure shows a cord attached to a cart that can slide along a frictionless horizontal rail aligned along an x axis. The left end of the cord is pulled over a pulley, of negligible mass and friction and at cord height h = 1.2 m, so the cart slides from x1 = 4.0 m to x2 = 2.0 m. During the move, the tension in the cord is a constant 25.0 N. What is the change in the kinetic energy of the cart during the move?

A semitrailer is coasting downhill along a mountain highway when its brakes fail. The driver pulls onto a runaway-truck ramp that is inclined at an angle of 14.08 above the horizontal. The semitrailer coasts to a stop after traveling 154 m along the ramp. What was the truck’s ini- tial speed? Neglect air resistance and friction.

A 1.5-kg block initially at rest at the top of a 3-m incline with a slope of 30° begins to slide down the incline. The upper half of the incline is frictionless, while the lower half is rough, with a coefficient of kinetic friction μk = 0.3. (a) How fast is the block moving midway along the incline, before entering the rough section?  (b) How fast is the block moving at the bottom of the incline?