Question

You have found that the force of the wagon is F = 45(cos 15° i + sin 15° j) and the displacement of the wagon is v = 45i. Use the formula for work to find W. W = F · v = (45 cos 15° i + 45 sin 15° j) · (45i) = (45 cos 15° i) · (45i) + (45 sin 15° j) · (45i) = Incorrect: Your answer is incorrect. cos 15° ≈ Incorrect: Your answer is incorrect. ft-lb (rounded to one decimal place)

Answer 1

1956.2 ft-lb

Explanation:

We are given that force of the wagon

`F=45(cos 15^(\circ)+sin 15^(\circ) J)`

Displacement of the wagon =45 i

We know that

Work done, W=
`F\cdot v`

Substitute the values then we get

`W=45(cos 15^(\circ)+sin 15^(\circ) J)\cdot 45i`

`W= 2025 15^(\circ)`

`W=2025* 0.966`

`w=1956.2 ft- lb`

Hence, Work done on the wagon=1956.2 ft-lb