The work done by a force vec F = (-6x^3 hat i | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The work done $W$ by a variable force $F_x$ is given by the integral $W = \int_{x_i}^{x_f} F_x \, dx$.Given $F_x = -6x^3$ and the limits $x_i = 4

Vedclass · Accepted Answer

$360$

Vedclass · Answer

(A) The work done $W$ by a variable force $F_x$ is given by the integral $W = \int_{x_i}^{x_f} F_x \, dx$.Given $F_x = -6x^3$ and the limits $x_i = 4 	ext{ m}$ to $x_f = -2 	ext{ m}$.$W = \int_{4}^{-2} (-6x^3) \, dx$$W = -6 \left[ \frac{x^4}{4} ight]_{4}^{-2}$$W = -\frac{6}{4} [(-2)^4 - (4)^4]$$W = -1.5 [16 - 256]$$W = -1.5 [-240]$$W = 360 	ext{ J}$.

The work done by a force $\vec F = (-6x^3 \hat i) \text{ N}$,in displacing a particle from $x = 4 \text{ m}$ to $x = -2 \text{ m}$ is .............. $J$.

Similar Questions

Which of the following acids is a vitamin?

Which of the following is a long-day plant?

Why are modern techniques implemented in fisheries?

Knowing the properties of $H_{2}O$ and $D_{2}O$,do you think that $D_{2}O$ can be used for drinking purposes?

Which animal possesses neurons but lacks a brain?

Vedclass Test Series

Exam Paper Generator

Online Exam Module