A 20 kg cart with frictionless bearings is initially at rest on a horizontal tabletop. The cart is connected by a light string to a hanging 5 kg block. The string passes over an ideal pulley. The system is released from rest and both objects have an acceleration of magnitude a 5 kg (a) Draw the forces (NOT components) that act on each object.
(b) Calculate the acceleration ay of the system of masses once the system is released.

Explanation:

From the question we are told that

Mass of cart =20kg

Mass of block =5kg

Magnitude of acceleration M_a= 5 kg

Generally Force on the 20kg mass in the is mathematically given as

Generally Force on the 2kg in the mass is mathematically given as

Therefore

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2

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