Question

A massless string connects a 10.00 kg mass to a 13.00 kg cart which is resting on a frictionless horizontal surface. The mass hangs over a frictionless pulley. When the mass is released, the cart accelerates to the right. What is the cart’s acceleration? The cart's acceleration is m/s^2. (round to one decimal place)

Answer 1

The cart's acceleration to the right after the mass is released  is determined as 7.54 m/s².

Acceleration of the cart

The acceleration of the cart is determined from the net force acting on the mass-cart system.

Upward force = Downward force

ma = mg

13a = 10(9.8)

13a = 98

a = 98/13

a = 7.54 m/s²

Thus, the cart's acceleration to the right after the mass is released  is determined as 7.54 m/s².

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