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crimeas [40]
4 years ago
10

A woman pushes a lawn mower with a constant force of 112 Newtons at an angle of 37◦ with respect to the horizontal. The lawn mow

er moves at a speed of 20 cm/sec. What is her power output? (1 hp = 746 Watts)
1. 0.024 hp
2. 0.030 hp
3. 0.020 hp
4. 0.040 hp
5. 0.044 hp
6. 0.034 hp
Mathematics
1 answer:
user100 [1]4 years ago
5 0

Answer:

1.0.024 hp

Step-by-step explanation:

We are given that

Constant force=F=112 N

\theta=37^{\circ}

Speed of lawn mower,v=20 cm/s=20\times 10^{-2} m/s

1 m=100 cm

1 hp=746 watt

We have to find the power output

Force applied by women on lawn mower=Fcos\theta=112cos 37^{\circ}

Force applied by women on lawn mower=89.45N

Power output,P=Fv

Using the formula

Power output=89.45\times 20\times 10^{-2}=17.89 watt

Power output,P=\frac{17.89}{746}=0.024hp

Hence, option 1 is true

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Part a

For this case we can use the fact that sin (\pi/3) = \frac{\sqrt{3}}{2}

And for this case since we ar einterested on -\frac{\pi}{3} and we know that the if we are below the y axis the sine would be negative then:

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