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Physics 19 Online
OpenStudy (anonymous):

Two Physics Questions! Please help!! 1. A sailboat moves north for a distance of 10.00 km when blown by a wind from the exact southeast with a force of 2.00 × 104 N. The sailboat travels the distance in 1.0 h. How much work was done by the wind? What was the wind’s power? Your response should include all of your work and a free-body diagram. 2. A sailor pushes a 100.0 kg crate up a ramp that is 3.00 m high and 5.00 m long onto the deck of a ship. He exerts a 650.0 N force parallel to the ramp. What is the mechanical advantage of the ramp? What is the efficiency of the ramp? Your response sh

OpenStudy (anonymous):

@petiteme @wolfe8

OpenStudy (anonymous):

anyone?

OpenStudy (anonymous):

@petiteme

OpenStudy (wolfe8):

Petite is asleep. So can you at least draw the diagram?

OpenStudy (anonymous):

so far I have work = force x distance x cos theta?

OpenStudy (roadjester):

\[W=F\Delta x\] \[P=\frac W t\]

OpenStudy (roadjester):

okay, yeah, if you have an angle then you need the cosine

OpenStudy (wolfe8):

Ok but what about the diagram with the forces and direction labeled?

OpenStudy (roadjester):

the first thing you need to do is establish a coordinate system

OpenStudy (roadjester):

oh and next time, please only post one question at a time it gets confusing when you try answering two at once

OpenStudy (roadjester):

so ok, you have two directions to consider, north and northwest the wind is blowing FROM the southeast, relative to the boat so the wind is going north west

OpenStudy (roadjester):

|dw:1391203381773:dw|

OpenStudy (roadjester):

you need to establish a coordinate system in order to figure out which direction the boat is going and which direction the wind is blowing. once you have that, you can figure out the angle theta

OpenStudy (anonymous):

ok

OpenStudy (roadjester):

once you do that, you know that \[W=F d \cos\theta\] you know how long the wind was blowing for and that \[Power= \frac W t\] so this is mostly a substitution problem

OpenStudy (wolfe8):

This might help http://sketchtoy.com/58720506 Now you need to resolve the force that actually helped act on the movement north so resolve into the y-component.

OpenStudy (wolfe8):

Sorry for the mistakes. I was trying to figure out what values you need.

OpenStudy (anonymous):

its ok so force = 20,000 distance = 10.00 km

OpenStudy (anonymous):

so work = 20,000 x 10.00 x cos theta which would be 135?

OpenStudy (wolfe8):

...how on earth did you get 20,000? o.o You do Fy=Fcos(45) = 208 cos (45)

OpenStudy (wolfe8):

That will give you the force. And them you multiply it with distance to get work. To get power, use work/time

OpenStudy (anonymous):

I thought since it said force of 2.00 x 10^4

OpenStudy (anonymous):

ohh my bad I think I wrote 2.00 x 104

OpenStudy (wolfe8):

...when you copy and pasted it it became 2x104 N Ok then you should do 20000 cos (45)

OpenStudy (anonymous):

wait what about the distance?

OpenStudy (roadjester):

distance is given

OpenStudy (anonymous):

so wouldn't it be 20,000 x 10.0 x cos 45?

OpenStudy (wolfe8):

You till multiply the resolved force with distance to get work because W=Fd

OpenStudy (wolfe8):

I guess you can write it that way when combined. I was trying to show you step-by-step

OpenStudy (anonymous):

@wolfe8 so it would be 141,421.36 J for work?

OpenStudy (wolfe8):

Looks right to me

OpenStudy (anonymous):

ok so for power what would it be?

OpenStudy (anonymous):

@petiteme @wolfe8

OpenStudy (wolfe8):

Sigh. I told you every step you need. For power it is W/t Work divided by time.

OpenStudy (anonymous):

yes I know what work is now but time? just 1?

OpenStudy (anonymous):

@wolfe8

OpenStudy (anonymous):

...

OpenStudy (wolfe8):

Time in seconds so first you must convert 1 hour to seconds.

OpenStudy (anonymous):

so 60 s

OpenStudy (anonymous):

2,357.03 W?

OpenStudy (anonymous):

or 3600s ?

OpenStudy (anonymous):

sigh

OpenStudy (wolfe8):

In 1 hour there are 3600 seconds

OpenStudy (anonymous):

ohh sorry I was thinking one minute

OpenStudy (anonymous):

39.28 W?

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