A plank of mass 10 kg and a block of mass 2 kg are placed on a horizontal planc as shown in th

step 1 In this problem, the force of 60 Newton is being applied on a plank of mass 10 KG and there is a

A plank of mass 10 kg and a block of mass 2 kg are placed...

A plank of mass $10 \mathrm{~kg}$ and a block of mass $2 \mathrm{~kg}$ are placed on a horizontal planc as shown in the figurc. There is no friction bctwecn planc and plank. The cocfficient of [riction betwecn block and plank is $0.5 .$ A force of $60 \mathrm{~N}$ is applied on plank horizontally. In first $2 \mathrm{~s}$ the work donc by the friction on the block is: (a) $-100 \mathrm{~J}$ (b) $100 \mathrm{~J}$ (c) zero (d) $200 \mathrm{~J}$

A plank of mass $10 \mathrm{~kg}$ and a block of mass $2 \mathrm{~kg}$ are placed on a horizontal planc as shown in the figurc. There is no friction bctwecn planc and plank. The cocfficient of [riction betwecn block and plank is $0.5 .$ A force of $60 \mathrm{~N}$ is applied on plank horizontally. In first $2 \mathrm{~s}$ the work donc by the friction on the block is:
(a) $-100 \mathrm{~J}$
(b) $100 \mathrm{~J}$
(c) zero
(d) $200 \mathrm{~J}$

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Key Concepts

Relative Motion

In systems where different parts move relative to each other, it is crucial to analyze their motions from appropriate frames of reference. Understanding the relative acceleration and displacement between the block and the plank is key to determining the effective work done by friction.

Work

Work is defined as the force component in the direction of an object's displacement multiplied by that displacement. In dynamics problems, work explains how energy is transferred or transformed, such as when a friction force does work on a moving object.

Friction

Friction is the resistive force that acts between surfaces in contact, opposing their relative motion. Its magnitude is determined by the normal force and the coefficient of friction, which directly influences how much energy is dissipated as heat during motion.

Newton's Laws

Newton's laws of motion underpin the analysis of force and acceleration in mechanics. They help to set up the equations governing the motion of each mass in the system, thereby allowing for the calculation of forces such as friction and the resultant work done.

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