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- A block of mass m is initially at rest at the top of an inclined plane, which has a height of 4.8 m and makes an angle of θ = 27° with respect to the horizontal. After being released, it is observed to be traveling at v = 0.65 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. a)What is the speed of the block, in meters per second, just after it leaves the inclined plane? b)Find the distance, d, in meters.A box of mass m is initially at rest at the peak of an inclined plane, which has a height of 5.5 m and has an angle of θ = 25° with respect to the horizontal. After being released, it is observed to be moving at v = 0.85 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the box and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. a)What is the speed of the box, in meters per second, just after it leaves the inclined plane?A block of mass m is initially at rest at the peak of an inclined plane, which has a height of 6.9 m and makes an angle of θ = 29° with respect to the horizontal. After being released, it is observed to be moving at v = 1 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance d, in meters
- A crate of mass mm is initially at rest at the peak of an inclined plane which has a height of 4.43m4.43m and makes an angle of θ=24.2 with respect to the horizontal. After it has been released, it is found to be traveling at v=0.99m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. a.-Find the distance, d, in meters.Consider the track shown in the figure. The section AB is one quadrant of a circle of radius 2.0 mm and is frictionless. B to C is a horizontal span 3.5 mm long with a coefficient of kinetic friction μkμkmu = 0.26. The section CD under the spring is frictionless. A block of mass 1.0 kg is released from rest at A. After sliding on the track, it compresses the spring by 0.35 mA 4kg block was released from rest on top of a quarter circular surface. If the vertical height from A to B is given as 4m as shown below, If the surface A to B is frictionless, what is the coefficient of friction on surface B to C if the block slid through A to C until it totally stops at C due to friction?
- A 3.0 kg block is set moving with an initial speed of 20 m/s on a rough horizontal surface. If the coefficient of kinetic friction is 0.40, how far does the block travel before it stops?The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 6.3 ft/s. If nonconservative forces, such as kinetic friction and air resistance, are negligible, what would be the height "h" of the highest point (in meters) reached by the skateboarder on the right side of the ramp?A 445 N boy swings on a 3.0 m long swing. If his horizontal speed at the lowest point is 3.0 m/s, what total force must the ropes holding the swing be able to withstand?
- A brick of mass m is initially at rest at the peak of an inclined plane which has a height of 5.52m and has an angle of θ=20.3∘ with respect to the horizontal. After it has been released, it is found to be traveling at v=0.84m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the brick and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. What is the speed of the brick, in meters per second, just after it leaves the inclined plane? Find the distance, d, in meters.When a body slides down an inclined plane, does the work of friction depend on the body’s initial speed? Answer the same question for a body sliding down a curved surface.A particle moves in a medium under the influence of a retarding force equal to mk(υ3+ a2υ), where k and a are constants. Show that for any value of the initial speed the particle will never move a distance greater than π/2kaand that the particle comes to rest only for t → ∞.