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**given/known data**

A 170 kg crate hangs from end of rope length L = 15 m. You push horizontally on crate with varying force F to move distance d = 5 m sideways. (a) What magnitude be of F when crate is in final position? During crate's displacement, what are (b) the total work done on it, and (c) the work done by the pull on the crate from the rope?

**Relevant equations**

Fnet=ma

[tex]\Delta[/tex]K=Wnet=Wa+Wg+Wt

Wg=mgdcos180=-mgd

**attempt at a solution**

(a) F-(Tension in x component)/170 = 0 ---> F=1666/tan(cos[tex]^{}-1[/tex](5/15))=589

(b)0=Wa+Wg+Wt --->? Wa, i am not sure how to calculate as it is a varying force

(c)Wt= [tex]\Delta[/tex]K=0

how would this be proved numerically?

Basically what i need help with is calculating Wa. Any help is appreciated. Thanks.

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