The force applied against a moving object travelling on a linear path is given by $F(x)= 2x^3+x$ . How much work would it take to move the object over $x in [2, 3]$ ?

Question

The force applied against a moving object travelling on a linear path is given by $F(x)= 2x^3+x$ . How much work would it take to move the object over $x in [2, 3]$ ?

1 Answer

Impact of this question

1367 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-13T17:05:21

$"35 Joule"$

Explanation:

Small work done by force for a small distance $dx$ is given by

$dW = F.dx$

Total work done is

$W = intdW = intF.dx$

$W = int_2^3(2x^3 + x)dx$

$W = [(2x^4)/4 + x^2/2]_2^3$

$W = [x^4/2 + x^2/2]_2^3$

$W = 1/2[x^4 + x^2]_2^3$

$W = 1/2[(3^4 - 2^4) + (3^2 - 2^2)] = "35 Joule"$

Science

Math

Humanities

... and beyond

The force applied against a moving object travelling on a linear path is given by $F(x)= 2x^3+x$ . How much work would it take to move the object over $x in [2, 3]$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

The force applied against a moving object travelling on a linear path is given by F(x)= 2x^3+xF(x)= 2x^3+x. How much work would it take to move the object over x in [2, 3] x in [2, 3] ?

1 Answer

Explanation:

Related questions

Impact of this question

The force applied against a moving object travelling on a linear path is given by $F(x)= 2x^3+x$ . How much work would it take to move the object over $x in [2, 3]$ ?