A woman pushes a trunk on a railway platform that has a rough surface. She applies a force F over a distance of 20 m as shown by the graph. Calculate the work done by the woman.

Question

A woman pushes a trunk on a railway platform that has a rough surface. She applies a force F over a distance of 20 m as shown by the graph. Calculate the work done by the woman. (A) 1500 J (B) 1750 J (C) 2000 J (D) 2250 J

Tardigrade Admin · Accepted Answer

W=∫ F d x= Area under the graph W= Area of rectangle + Area of trapezium =(100 N )(10 m )+(1/2)(100 N +50 N )(10 m ) =1000 J +750 J =1750 J

Q. A woman pushes a trunk on a railway platform that has a rough surface. She applies a force $F$ over a distance of $20 m$ as shown by the graph. Calculate the work done by the woman.

1500 J

1750 J

2000 J

2250 J

$W = \int F d x =$ Area under the graph
$W =$ Area of rectangle $+$ Area of trapezium
$= (100 N) (10 m) + \frac{1}{2} (100 N + 50 N) (10 m)$
$= 1000 J + 750 J = 1750 J$

Q. A woman pushes a trunk on a railway platform that has a rough surface. She applies a force F over a distance of 20m as shown by the graph. Calculate the work done by the woman.