Refer to the diagram of an inclined plane of angle $20^{\circ}$ with a block $A$ of mass $4\ \text{kg}$ attached by a light string over a frictionless pulley to a hanging mass $B$ of $2\ \text{kg}$. The plane is smooth. The system is released from rest.

(a) Determine the acceleration of the system and the tension in the string.

(b) After the system has moved $2.0\ \text{m}$ up the incline, a constant external force of $10\ \text{N}$ is applied parallel to the plane down the incline (opposing the motion). Assuming the force acts until the block comes to rest, find the additional distance the block travels up the incline and the total work done by the external force.

Question

Refer to the diagram of an inclined plane of angle $20^{\circ}$ with a block $A$ of mass $4\ \text{kg}$ attached by a light string over a frictionless pulley to a hanging mass $B$ of $2\ \text{kg}$. The plane is smooth. The system is released from rest.

(a) Determine the acceleration of the system and the tension in the string.

(b) After the system has moved $2.0\ \text{m}$ up the incline, a constant external force of $10\ \text{N}$ is applied parallel to the plane down the incline (opposing the motion). Assuming the force acts until the block comes to rest, find the additional distance the block travels up the incline and the total work done by the external force.

Accepted Answer

a = 1.03 m s⁻², T = 17.5 N, extra distance ≈ 3.26 m, work by external force = -33 J

Neco Model Questions Vol1 2023 Physics Question 18

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