An object with a mass of 10 kg is initially at rest at the top of a frictionless inclined plane that rises 30° above the horizontal. At the top, the object is initially 8.0 m from the bottom of the incline, as own in the figure. When the object is released from this position, it eventually stops at a distance from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of netic friction between the horizontal surface and the obiect is 0 20 and air resistance is negligible

As shown in the figure below, a box of mass m = 30.0 kg is sliding along a horizontal frictionless surface at a speed v₁ = 4.55 m/s when it encounters a ramp inclined at an angle of 0 = 28.0⁰. frictionless surface The coefficient of kinetic friction between the ramp and the box is μ = 0.0704 and the box slides a distance d up the ramp before coming momentarily to rest. (a) Determine the distance (in m) the box slides up the ramp before coming momentarily to rest. Ο OW₁ = -APE Wg OW, m (b) Determine which of the following statements is most correct about the box traveling up the ramp and coming momentarily to rest. OW.. = AKE Net = W Net ΔΕ = W cons + W noncons ΔΕ = ΔΚΕ + ΔΡΕ Ο O all of these rough surface TTO noncons

A student is skateboarding down a ramp that is 6.02 m long and inclined at 22.3° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.98 m/s. Neglect friction and find the speed at the bottom of the ramp.

A crate of mass m is initially at rest at the highest point of an inclined plane which has a height of 5.28 m and makes an angle of A = 17.2° with respect to the horizontal. After it has been released, it is found to be traveling at v = 0.29 m/s a distance dafter the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is tp = 0.1, and the coefficient of friction on the horizontal surface is f4r = 0.2.

An 8 kg block is shot up an incline of 300with an initial speed of 3.6 m/s.  How far up the incline will the block travel if the coefficient of friction between it and the incline is 0.22?   Hint:  Express the height above the ground that the block is above the incline in terms of the distance up the incline (hypotenuse).

Two crates of fruit  are released from the top of a ramp inclined at 30 degrees from the horizontal and 4.5 meter long. The two crates consist of  an apple crate of mass 20 kg that is placed in front of a watermelon crate of mass 80 kg.  The apple crate has a coefficient of friction of 0.20 while the watermelon crate has a coefficient of friction of 0.15. How long does it take the apple crate to reach the bottom of the incline if it needs to travel a distance of 4.5 meters?

The man slides the 180-lb crate across the floor by pulling with a constant force of 30 lb. If the crate was initially at rest, how far will the crate move before its speed is 4.0 ft/s? The coefficient of kinetic friction between the crate and the floor is 0.15.