wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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 ?

A
3280 J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2780 J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5690 J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
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=(200×15)+12(100+200)×15

=3000+2250=5250 J

Hence, (D) is the correct answer.

flag
Suggest Corrections
thumbs-up
135
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon