Matthew is waterskiing. As the boat starts moving, he is at an angle of 8.0° to the right of the boat. The boat applies 250 newtons over the first
50 meters, while the angle stays at roughly 8.0°. What work has the boat done on Matthew
A 1.0 x 104 joules
B. 1.2 x 104 joules
C 1.4 x 10^ joules
D. 1.7 x 10^ joules

Respuesta :

The work done is B. [tex]1.2\cdot 10^4 J[/tex]

Explanation:

The work done by a force on an object is given by

[tex]W=Fd cos \theta[/tex]

where

F is the magnitude of the force

d is the displacement of the object

[tex]\theta[/tex] is the angle between the direction of the force and of the displacement

For the boat in this problem, we have:

F = 250 N (force applied)

d = 50 m (displacement)

[tex]\theta=8.0^{\circ}[/tex]

Substituting, we find the work done:

[tex]W=(250)(50)(cos 8^{\circ})=1.2\cdot 10^4 J[/tex]

Learn more about work:

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Answer:

B

Explanation:

Plato

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