In the physics lab, a cart with a mass of 1 kg is found to have an acceleration of 50 cm/s^2 when it is pulled by a string with clay hanging off the ramp. if the mass of the cart is doubled to 2 kg, what will the new acceleration of cart be?

a = 25 cm/s²

Explanation:

Given,

The mass of the cart, m = 1 Kg

The acceleration of the cart, a = 50 cm/s²

The string with clay hanging off the ramp exerts a force, F on the cart (neglecting the tension in the string)

                                   F = m x a

                                      = 1 Kg X 50 cm/s²

                                      = 50 Kg cm/s²

Hence the force exerted by the clay hanging off the ramp on the cart, F = 50 Kg cm/s²

If the mass of the cart is doubled '2 Kg', the same magnitude of the force acts on the cart.

Therefore, from the equation,

                                   F = m x a

                             50 Kg cm/s² = 2 Kg x a

                                       a =  50 Kg cm/s² / 2 Kg

                                          = 25 cm/s²

Hence, the acceleration of the cart is, a = 25 cm/s²

photocells convert light energy to electricity

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.