A box of mass 40 kg is being dragged along the floor by a rope inclined at 60° to the horizontal. The frictional force between the box and the floor is 100N and the tension on the rope is 300N. How much work is done in dragging the box through a distance of 4m?

Physics
A box of mass 40 kg is being dragged along the floor by a rope inclined at 60° to the horizontal. The frictional force between the box and the floor is 100N and the tension on the rope is 300N. How much work is done in dragging the box through a distance of 4m?

ScanSolve AI Answer

Answer

400 J

Step 1: Identify the work done in dragging the box.
The work done in dragging the box against friction is given by the formula
W=f⋅d,W = f \cdot d,
where ff is the frictional force and dd is the displacement along the floor.

Step 2: Substitute the given values.
f=100 Nf = 100~\mathrm{N}, d=4 md = 4~\mathrm{m}.
W=100 N×4 mW = 100~N \times 4~\mathrm{m}

Step 3: Simplify.
W=400 JW = 400~\mathrm{J}

B. 400 J
400 J

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.

More Physics Questions

QJe ne comprends pas le cour de cinématiqueQState TWO effects that a force can have on an object. Study illustrations A-E below. Identify the ty…QLe vecteur position d'un point mobile dans l'espace, muni d'un repère (O,i,j,k) est donné par OM = (…Qtotal chargeQHow to reduce wasted energy
See all Physics questions →

Still have questions?

Quick Answer

Identify the work done in dragging the box. The work done in dragging the box against friction is given by the formula W = f · d, where f is the frictional force and d is the displacement along the floor.

A box of mass 40 kg is being dragged along the floor by a rope inclined at 60° to the horizontal. The frictional force between the box and the floor is 100N and the tension on the rope is 300N. How much work is done in dragging the box through a distance of 4m?
Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Step 1: Identify the work done in dragging the box. The work done in dragging the box against friction is given by the formula W = f · d, where f is the frictional force and d is the displacement along the floor. Step 2: Substitute the given values. f = 100~N, d = 4~m. W = 100~N × 4~m Step 3: Simplify. W = 400~J B. 400 J 400 J