A box of mass 40 kg is 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?

March 20, 2026Physics

ScanSolve AI Answer

March 20, 2026

Answer

600\ J

Step 1: Identify the work done by the tension force.
The work done by a force is given by
$W = F d \cos \theta$
where $F$ is the magnitude of the force, $d$ is the displacement, and $\theta$ is the angle between the force and the displacement.

Step 2: Substitute the given values.
Here, $F = 300\ \mathrm{N}$ , $d = 4\ \mathrm{m}$ , and $\theta = 60^\circ$ .
$\cos 60^\circ = 0.5$
$W = (300\ N)(4\ m)(0.5)$

Step 3: Calculate the work.
$W = 300 \times 4 \times 0.5 = 600\ \mathrm{J}$

The work done is $\boxed{600\ J}$ .

Was this helpful?

Need help with your own homework?

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

Ask Your Question

More Physics Questions

QWhich of the following statements correctly describes the behavior of subatomic particles in an elec…QPAPER 2 ESSAY [60 marks] Answer eight questions in all: five questions from Part I and three questio…QThe image shows a formula CI = Hm / Hcs and text related to an average insolation levels model. It s…QWhy the decrease in one in the power of the final answer QUn chargeur déploie une force de 90N pour joindre deux points A et B d'un plan horizontal à la vites…

See all Physics questions →

Still have questions?

Quick Answer

Identify the work done by the tension force. The work done by a force is given by W = F d where F is the magnitude of the force, d is the displacement, and is the angle between the force and the displacement.

Asked on March 20, 2026Physics

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 AnswerAnswered on March 20, 2026

Step 1: Identify the work done by the tension force. The work done by a force is given by W = F d where F is the magnitude of the force, d is the displacement, and is the angle between the force and the displacement. Step 2: Substitute the given values. Here, F = 300\ N, d = 4\ m, and = 60^. 60^ = 0.5 W = (300\ N)(4\ m)(0.5) Step 3: Calculate the work. W = 300 × 4 × 0.5 = 600\ J The work done is 600\ J.