A mass of 2 kg is placed on a trolley of 20 kg sliding on a smooth surface. The coefficient of

step 1 In this question we have to find the value of frictional force and acceleration of block of mass

A mass of 2 kg is placed on a trolley of 20 kg sliding on...

A mass of $2 \mathrm{~kg}$ is placed on a trolley of $20 \mathrm{~kg}$ sliding on a smooth surface. The coefficient of friction between the mass and surface of trolley is 0.25 . A horizontal force of $2 \mathrm{~N}$ is applied to the mass. The acceleration of the system and the frictional force between the mass and surface of trolley are (Figure can't copy) (a) $1.8 \mathrm{~ms}^{-2}, 0.09 \mathrm{~N}$ (b) $0.9 \mathrm{~ms}^{-2}, 18 \mathrm{~N}$ (c) $0.09 \mathrm{~ms}^{-2}, 1.8 \mathrm{~N}$ (d) $1 \mathrm{~ms}^{-2}, 2 \mathrm{~N}$

A mass of $2 \mathrm{~kg}$ is placed on a trolley of $20 \mathrm{~kg}$ sliding on a smooth surface. The coefficient of friction between the mass and surface of trolley is 0.25 . A horizontal force of $2 \mathrm{~N}$ is applied to the mass. The acceleration of the system and the frictional force between the mass and surface of trolley are
(Figure can't copy)
(a) $1.8 \mathrm{~ms}^{-2}, 0.09 \mathrm{~N}$
(b) $0.9 \mathrm{~ms}^{-2}, 18 \mathrm{~N}$
(c) $0.09 \mathrm{~ms}^{-2}, 1.8 \mathrm{~N}$
(d) $1 \mathrm{~ms}^{-2}, 2 \mathrm{~N}$

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Key Concepts

Newton's Second Law

This principle states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). In dynamics problems involving multiple bodies, each individual body or the system as a whole can be analyzed using this law to determine accelerations when forces, including friction, are applied.

Friction and Coefficient of Friction

Friction is the resistive force that opposes the motion of two surfaces in contact. The coefficient of friction (?) is a dimensionless factor that, when multiplied by the normal force, provides the maximum frictional force available before sliding occurs. Correct computation of frictional forces is essential especially in problems where friction acts as an interaction between bodies.

Interacting Bodies in Motion

When analyzing systems composed of multiple bodies in contact (such as a mass on a moving trolley), it is important to consider both the external forces applied to the system and the internal forces (like friction) between bodies. This approach helps in determining the overall acceleration of the system as well as the relative motion between its components.

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