Work, Power and EnergyHard
Question
A position dependent force,
F = 7 - 2x + 3x2 N,
acts on a small body of mass 2 kg and displaces it from x = 0 to x = 5m. The work done (in joule) is :-
F = 7 - 2x + 3x2 N,
acts on a small body of mass 2 kg and displaces it from x = 0 to x = 5m. The work done (in joule) is :-
Options
A.70
B.270
C.35
D.135
Solution
F = (7 - 2x + 3x2) N
x = 5
W =
Fdx
W =
(7 - 2x + 3x2)dx
W = [7x - x2 + x]05
W = [(35 - 25 + 125) - 0 ]
W = 135 J
x = 5
W =
FdxW =
(7 - 2x + 3x2)dxW = [7x - x2 + x]05
W = [(35 - 25 + 125) - 0 ]
W = 135 J
Create a free account to view solution
View Solution FreeMore Work, Power and Energy Questions
An ideal gas heat engine operates in Carnot cycle between 227oC and 127oC. It absorbs 6 × 104 cals of heat at highe...A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t i...A box of mass m is initially at rest on a horizontal force of mg / 2 is applied to the box directed to the right. the co...Two masses of 1 g and 4 g are moving with equal kinetic energies. The ratio of the magnitudes of their momenta is...A sample of 0.1 g of water at 100oC and normal pressure (1.013 ×105 Nm–2) requires 54 cal of heat energy to c...