A 24.5 N cart is released from rest on a 1.0 meter long frictionless plane that is inclined at an angle of 30 degrees . This cart accelerates down the incline and strikes a 36.8 N crate which is at rest at the base of the incline and positioned along a connecting horizontal surface. The two objects stick together upon impact. Determine: (a) with what initial speed will they move along the horizontal surface? (b) if the solid friction force between the objects and the horizontal surface is measured at 5.2 N, what time will elapse before these objects will come to rest? (c) how far along the horizontal surface will these two objects move before coming to rest?

the duration of a photographic flash is related to an rc time constant, which is 0.100 μs for a certain camera.

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.

the maxium height is 34m/s