A particle is acted on by the force F(3N/m22yi as it moves from the origin to th

Question

A particle is acted on by the force F(3N/m22yi as it moves from the origin to the point (1.70d, 2.80d) on the particle by this force for the following paths. along several different paths. Determine the work done (a) Path 1 goes from the origin to the point (1.70d, O) and then to the point (1.70d, 2.80d). (Use the following as necessary: d. Do not enter units in your answer) w| = | 5.6644 | x How may we determine the work done on an object by a variable force? J (b) Path 2 goes from the origin to the point (0, 2.80d) and then to the point (1.70d, 2.80d). (Do not enter units in your answer.) W2 = 5.6644 | How may we determine the work done on an object by a variable force? (c) This force may be classified as which of the following? O conservative nonconservative not enough information to tell

Explanation / Answer

a] W1 = integral Fds

= integral 3x^2 y dy

= integral 3 (1.7 d)^2 y dy

= 3*(1.7d)^2*(y^2/2)

= 3*(1.7d)^2*((2.80d)^2/2)

= 34d^4

b] work = integral Fds

= integral 3x^2 y dx

= integral 3 x^2 *2.8d dx

= 3* 2.8d*(x^3/3)

= 3*2.8d*((1.7d)^3/3)

= 13.76 d^4

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