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beks73 [17]
3 years ago
10

On a map, a measurement of 1.0 cm represents a velocity of 100 m/s. If you were to draw a vector on the map that represents 80 m

/s, how long would the vector be?
A. 8.0 cm B. 1.25 cm C. 1.25 mm D. 8.0 mm
Physics
1 answer:
zimovet [89]3 years ago
5 0

Answer:

80 \frac{m}{s} = 8 millimeter

Hence, option D is correct

Explanation:

1 centimeter on map represents 100 \frac{m}{s}

10 millimeter on map represents 100 \frac{m}{s}.

So, 1 millimeter on map represents 10 \frac{m}{s}.

10 \frac{m}{s} = 1 millimeter

Thus,

80 \frac{m}{s} = 8 millimeter

Hence, option D is correct

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3 years ago
Two forces act at a point in the plane. The angle between the two forces is given. Find the magnitude of the resultant force. fo
Zielflug [23.3K]

Answer:

408N at 89.89°

Explanation:

This problem requires that we resolve the force vectors into

x- and y

-componentsOnce this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.

Finally, we will convert the resultant force into standard form and find the equilibrant.

Resolve into components:

F1x =F1cos 180°= 232(−1)=−232N

F1y=F1sin180°=0N

F2x=F2cos(−140°)=194(−0.766)=−148.6N

F1y=F1sin(−140°)=232(−0.643)=−149.17N

Note the change of the angle used to give the direction of

F2. Standard angles (rotation from thex

-axis; counterclockwise is +) should be used to avoid sign errors in the results.

Now, we add the components:

Fx=F1x+F2x=−380.6N

Fy=F1y+F1y=−148.17N

Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:

F=√(Fx)2(Fy)2=√(−380.6)^2(−148.17)^2=408N

θ=tan−1(−148.17−380.6)

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4 0
3 years ago
A force of 100. newtons is used to move an object a distance of 15 meters with a power of 25 watts. Find the time it takes to do
Flauer [41]
<h3>It takes 60 seconds to do the work</h3>

<em><u>Solution:</u></em>

Given that,

Force = 100 newtons

Distance = 15 meters

Power = 25 watts

To find: time it takes to do the work

<em><u>Find the work done:</u></em>

work = force \times displacement\\\\work = 100\ newtons \times 15\ meters\\\\work = 1500\ joule

<em><u>Find the time taken</u></em>

power = \frac{work}{time}\\\\25\ watts = \frac{1500\ joule}{time}\\\\time = \frac{1500\ joule}{25\ watt}\\\\time = 60\ second

Thus it takes 60 seconds to do the work

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