Answer:
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
