The relationship between the force Fand position x of a body is as shown in figure. The work done in displacing the body from x = 1 m to x = 5 m will be

Options

A. 30 J
B. 15 J
C. 25 J
D. 20 J

Answer

b

Explanation

Work done = area under F-x graph = area of rectangle ABDC+area of rectangle BCEF + area of rectangle GFIH + area of triangle IJK
`= (2-1) xx(10-0) + (3-2)(5-0)`
`+ (4 - 3)(-5 - 0) +(1)/(2) (5-4)(10-0)`
` = 10 + 1xx5 +(-5) +(1)/(2) xx10 = 15 J`