Find the work done by a force given (in N) by Fx = (5x - 4), when this force acts on a particle that moves from x = 1 m to x = 3 m is

Question

Find the work done by a force given (in N) by Fx = (5x - 4), when this force acts on a particle that moves from x = 1 m to x = 3 m is (A) 12 J (B) 6 J (C) 5 J (D) 2 J

Tardigrade Admin · Accepted Answer

Work done W =∫ F dx W=∫x=3x=1 F.dx =∫ x=3x=1 (5x-4)dx W=((5x2/2)-4x)x=3x=1 =2.5(32-12)-4(3-1)=20-8=12 J

Q. Find the work done by a force given (in N) by $F x = (5 x - 4),$ when this force acts on a particle that moves from x = 1 m to x = 3 m is

12 J

6 J

5 J

2 J

Work done W = $\int F$ dx
$W = \int_{x = 1}^{x = 3} F . d x = \int_{x = 1}^{x = 3} (5 x - 4) d x$
$W = (\frac{5 x ^{2}}{2} - 4 x)_{x = 1}^{x = 3}$
$= 2.5 (3^{2} - 1^{2}) - 4 (3 - 1) = 20 - 8 = 12 J$

Q. Find the work done by a force given (in N) by Fx=(5x−4), when this force acts on a particle that moves from x = 1 m to x = 3 m is

12 J

6 J

5 J

2 J

Work done W =∫F dx W=∫x=1x=3​F.dx=∫x=1x=3​(5x−4)dx W=(25x2​−4x)x=1x=3​ =2.5(32−12)−4(3−1)=20−8=12J

Q. Find the work done by a force given (in N) by $F x = (5 x - 4),$ when this force acts on a particle that moves from x = 1 m to x = 3 m is

Work done W = $\int F$ dx
$W = \int_{x = 1}^{x = 3} F . d x = \int_{x = 1}^{x = 3} (5 x - 4) d x$
$W = (\frac{5 x ^{2}}{2} - 4 x)_{x = 1}^{x = 3}$
$= 2.5 (3^{2} - 1^{2}) - 4 (3 - 1) = 20 - 8 = 12 J$