A 2 kg object is released from rest at the top of a frictionless incline of an 39.1 angle. Given the length of the base of the incline of 2.97 m, the speed (m/s) of the object at the bottom of the incline is:

A block slides along a track with an initial velocity vo = 7.0 m/s from one level to a higher level after passing through an intermediate valley. The difference h from the initial position to the elevated track is 0.89 m. The track is frictionless until reaches the top. There (at the top), a frictional force stops the block in a distance d. The coefficient of kinetic friction  between the block and the surface is 0.60. Find the distance d.

A 13.0kg stone slides down an icy, essentially frictionless, hill that is shown in the figure. At the top of the hill, the stone is moving at 1.75m/s down the hill. While the hill is frictionless, the stone experiences friction along the level, rough ground (beyond the base of the hill) all the way to a wall. The coefficients of static and kinetic friction are 0.800 and 0.300 respectively. The stone slides along the ground for 9.15m before making contact with a long spring, which has a spring constant of 25.0N/m. (“Long” in this case means that the spring is sufficiently long to stop the stone before it hits the wall.) Will the stone move again after it has been stopped by the spring?

A 60.0 kg skier with an initial speed of 14 m/s coasts up a 2.50 m high rise as shown in the figure. Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.39.

In the figure, a 3.7 kg block slides along a track from one level to a higher level after passing through an intermediate valley. The track is frictionless until the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed is vo = 7.2 m/s, the height difference is h = 1.2 m, and Hg = 0.579. Find d. μ= 0- Number Units

A luge and its rider, with a total mass of 76.0 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 30.0 m/s. If a force slows them to a stop at a constant rate of 1.60 m/s2, (a) what magnitude F is required for the force, (b) what distance d do they travel while slowing, and (c) what work W is done on them by the force? What are (d) F, (e) d, and (f) W if they, instead, slow at 3.20 m/s2?

A block is given an initial velocity of 5.00 m/s up a frictionless incline of angle of 20.0°. How far up the incline does the block slide before coming to rest? Answer: 3.73 m

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of each object is a multiple of the base mass m: object 1 has mass 4.60m, object 2 has mass 2.21m, and object 3 has mass m. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic expression. Each algebraic expression is given using some combination of the variables m, g, and d, where g is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23mgd, just enter 1.23) This potential energy was calculated relative to the bottom of the stairs. If you were to redefine the reference height such that the total potential energy of the system became zero, how high…

A mass of 0.21 kg is initially at rest on a hor- izontal surface. A force, given by F⃗ = Fx ˆı, acts on the mass. The horizontal component Fx is plotted below as a function of position along the x-axes. The coefficient of kinetic friction is 0.044. The acceleration of gravity is 9.8 m/s2 . Calculate the kinetic energy K of the mass as it reaches 5 m. Answer in units of J.

A luge and its rider, with a total mass of 79.0 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 31.0 m/s. If a force slows them to a stop at a constant rate of 1.50 m/s², (a) what magnitude F is required for the force, (b) what distance d do they travel while slowing, and (c) what work W is done on them by the force? What are (d) F, (e) d, and (f) W if they, instead, slow at 3.00 m/s²? (a) Number (b) Number 320.33 (c) Number (d) Number (e) Number 118.5 (f) Number i Units Units 101 Units Units Units Units N m 1000