A cart of mass Mc is being pulled by an object of mass Mw. Assume Friction is ne

Question

A cart of mass Mc is being pulled by an object of mass Mw. Assume Friction is negligible.
a) how many forces are acting on the cart?
b) two of the forces above cancel each other. which are these forces? how do you know these two forces will add to be zero?
c) What are the forces acting on the mass Mw?
d)If the tension in the string is T, what is the total force Fc acting on the cart parallel to the direction of motion, and what is the total force Fw acting on the hanging object parallel to the direction of its motion?
e) derive how the acceleration a of the cart depends on the mass of the cart Mc, on the mass of the object Mw, and on the acceleration due to gravity g.

Explanation / Answer

Ignore the other two answers of mine...

This is the perfec solution!!1

Hope it helps!!!

A.) tensile force in the rope/cable pulling the cart ; weight of the cart;reaction force exerted on the cart
B.) the weight of the cart is cancelled by the reaction force from the ground.
C.)its weight ; reaction force from the ground ; tensile force on the connecting material.
D.) Fc= T & Fw= weight of the object - T

i guess for the part D, the author has assumed a pulley string system in which the cart is on a table and the object is connected to it through a string running over a pulley attched to the edge of the table from the object hangs.

E) Acceleration = Net force / total mass...

Here considering both carts to be the system, so that the tension can be neglected..beingh internal force...

net force = F = external force = Mw * g

SO, acceleration = Mw * g / (Mc + Mw)

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