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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)

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lublana

Answer:

1956.2 ft-lb

Step-by-step explanation:

We are given that force of the wagon

[tex]F=45(cos 15^{\circ}+sin 15^{\circ} J)[/tex]

Displacement of the wagon =45 i

We know that

Work done, W=[tex]F\cdot v[/tex]

Substitute the values then we get

[tex]W=45(cos 15^{\circ}+sin 15^{\circ} J)\cdot 45i[/tex]

[tex]W= 2025 15^{\circ}[/tex]

[tex]W=2025\times 0.966[/tex]

[tex]w=1956.2 ft- lb[/tex]

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

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