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A cart with a total mass of 300g is on low-friction track with a string attached...

A cart with a total mass of 300g is on low-friction track with a string attached to mass of 100g hanging over a low friction pulley? The cart and hanging weight are held in place and then released. 1. what is the acceleration of the cart after it is released Express your answer in SI units keeping the correct number of significant figures.

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Answer #1

Horizintal pulley with Friction

application is Newtons second law to ahorizontal pulley

Note that the tension in the string is NOT equal to the weight of the hanging mass except in the special care of zero

given mass of 300gms on a horizontal cart it is attached by string over a pulley to a mass of 100 gms which hangs vertically

the friction between mass and surface represented by a friction cofficient

the positive direction for hanging mass, the acceleration will be

Acceleration =2.45 m/s2

Tension of string will be T=0.7350000000000001

Newtons compared to the weight W=0.9800000000000001 Newtons      for the hanging mass

if the weight of the hanging mass is less than than frictional resistance force acting on the mass on the cart.

Then the acceleration will be Zero.

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