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NEET PHYSICSEasy

A block of mass 50 kg50 \text{ kg} slides over a horizontal distance of 1 m1 \text{ m}. If the coefficient of friction between their surfaces is 0.20.2, then work done against friction is:

A

98 J98 \text{ J}

B

72 J72 \text{ J}

C

56 J56 \text{ J}

D

34 J34 \text{ J}

Step-by-Step Solution

The frictional force acting on the block is given by fk=μkN=μkmgf_k = \mu_k N = \mu_k mg, where μk\mu_k is the coefficient of kinetic friction, mm is the mass, and gg is the acceleration due to gravity . Given values: m=50 kgm = 50 \text{ kg}, μ=0.2\mu = 0.2, and displacement s=1 ms = 1 \text{ m}. Taking g=9.8 m/s2g = 9.8 \text{ m/s}^2: fk=0.2×50×9.8=98 Nf_k = 0.2 \times 50 \times 9.8 = 98 \text{ N}. The work done against friction is the energy spent to overcome this opposing force over the given distance : W=fk×sW = f_k \times s W=98 N×1 m=98 JW = 98 \text{ N} \times 1 \text{ m} = 98 \text{ J}.

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