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A box is pushed through 4.0m across a fl...

A box is pushed through 4.0m across a floor offereing 100N resistance. How much work is done by the (i) applied force (ii) resisting force?

Text Solution

AI Generated Solution

To solve the problem, we need to calculate the work done by both the applied force and the resisting force when a box is pushed across a floor. Let's break this down step by step. ### Step 1: Understand the Definition of Work Work done (W) is defined as the product of the force (F) applied to an object, the displacement (s) of the object, and the cosine of the angle (θ) between the force and the direction of displacement. The formula is given by: \[ W = F \cdot s \cdot \cos(\theta) \] ...
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A box is pushed through 4.0 m across floor offering 100 N resistance.How much work is done by the resisting force?

A body is pushed through 5 m across a sirface affering 75 N resistance How much work is done by the (1) applied force (ii) resisting force ?

Knowledge Check

  • Work is said to be done by a force acting on a body, provided the body is displaced actually in any direction except in a direction perpendicular to the direction of the force. Mathematically, W=vec(F). vec(c)=Fs cos theta , Whereas energy is capacity of a body to do the work, power is the rate at which the body can do the work. P=(W)/(t)=vec(F).(vec(s))/(t)=vec(F). vec(upsilon) Both, work and energy are measured in joule and power is measured in watt. With the help of the comprehension given above, choose the most appropriate alternative for each of the following question : A box is pushed through 4.0 m across a floor offering 100N resistance. Work done by the applied force is

    A
    `400J`
    B
    `-400 J`
    C
    `25 J`
    D
    `0.04 J`

  • A block is pushed through 2m across is surface offering 25 N resistance. The work done by the resisting force

    A
    `50`J
    B
    25`J
    C
    `-50`J
    D
    `-25`J

  • A 5 kg block is lifted vertically through a height of 5 metre by a force of 60N. Determine (i) the work done by applied force in lifting the block, (ii) the potential energy of the block at 5m, (iii) the kinetic energy of the block at 5 m (iv) the velocity of the block at 5 m-

    A
    `300 J, 245 J, 55J, 4.69 m//s`
    B
    `200 J, 245 J, 50J, 4.69 m//s`
    C
    `150 J, 150 J, 50J, 4.69 m//s`
    D
    `300 J, 245 J, 100J, 10.69 m//s`

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