A person pushes a box on a rough horizontal platform surface. He applies a force of $200 N$ over a distance of $15 m$ . Thereafter, he gets progressively tired, and his applied force reduces linearly with distance to $100 N$ . The total distance through which the box has been moved, is $30 m$ . What is the work done by the person, during the total movement of the box ?

3280 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2780 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5690 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5250 J

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $5250 J$
The given situation can be drawn graphically as shown in figure.

$Work done = Area under F-x graph$

$= Area of rectangle ABCD + Area of trapezium BCFE$

$W = (200 \times 15) + \frac{1}{2} (100 + 200) \times 15$

$= 3000 + 2250 = 5250 J$

Hence, $(D)$ is the correct answer.

Suggest Corrections

130

Similar questions

Q. A woman pushes a trunk on a railway platform which has a rough surface. She applies a force of

100 N

over a distance of

10 m

. Thereafter, she gets progressively tired and her applied force reduces linearly with distance to

50 N

. The total distance through which the trunk has been moved is

20 m

. Plot the force applied by the woman and the frictional force, which is

50 N

versus displacement. Calculate the work done by the two forces over

20 m

Q. A constant external force p = 160N is applied to a 20.0 kg box, which is on a rough horizontal surface. When the force pushes the box a distance of 8.00 m, the speed changes from 0.005 m/s. to 2.60 m/s. The work done by friction during this process is closest to:

Q. Calculate the work done by the person to push a box with a force of

20 N

over a distance of

8.0 m

in the direction of the force?

Q. A person exerts a horizontal force of 500 N on a box, which also experiences a frictional force of 100 N.
How much work is done against friction when the box moves a horizontal distance of 3 m?

A person is holding a bucket by applying a force of $10 N$ . He moves a horizontal distance of $5 m$ and then climbs up a vertical distance of $10 m$ . The total work done by him is equal to

Join BYJU'S Learning Program

The correct option is D 5250 JThe given situation can be drawn graphically as shown in figure. Work done = Area under F-x graph = Area of rectangle ABCD + Area of trapezium BCFE W=(200×15)+12(100+200)×15 =3000+2250=5250 J Hence, (D) is the correct answer.