A cart on a surface with a coefficient of friction of 0.20 is attached to an overhanging weight with a frictionless pulley. The cart has a mass of 2.5 kg while the overhanging weight has a mass of 1.0 kg.

What is the acceleration of the cart?

What is the tension in the cord used to pull the cart?

Please help ASAP, thanks.

1 answer

well, look at the net accelerating force.

Net accelerating force=totalmass*a
1kg*9.8-.2*2.5*9.8=(3.5kg)a
solve for acceleration.

Tension? Look at the tension pulling the cart: Tension= ma+friction=2.5*a+.2*2.5*9.8

check all that against your force diagram. If you wish, compare it with the tension at the other end holding the falling weight: T=(mg-ma)=
T=9.8N-1*a
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