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Otrada [13]
3 years ago
6

What is the force needed to move an 225 kg car a distance of 150 meters

Physics
2 answers:
Kobotan [32]3 years ago
4 0

Physics

mass = 225 kg

weight = m × a = 2250 N

distance = 150 m

force : ______?

Answers :

W = F × s

W = 2250 × 150

W = 337500 ✅

jekas [21]3 years ago
4 0
Depends on how fast you want it to go I would say 225kg it should take a while though
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A small steel wire of diameter 1.0mm is connected to an oscillator and is under a tension of 5.7N . The frequency of the oscilla
Fiesta28 [93]

Answer:

a) P = 2 \pi^2 (57 Hz)^2 (0.0054 m)^2 \sqrt{\pi(0.0005m)^2 (7800 \frac{kg}{m^3}) (5.7N)}=  0.349 W

b) For this case we se that P \propto A^2 f^2

Since the power is constant but the frequency is doubled we will see that A^2 \propto \frac{P}{f^2}

So the original amplitude is A_i \propto \sqrt{\frac{P}{f^2}}

And if the frequency is doubled we have that:

A^2_f \propto \frac{P}{(2f)^2}= \frac{P}{4f^2}

A_f \propto \sqrt{\frac{P}{4f^2}}= \frac{1}{2} \sqrt{\frac{P}{f^2}}

So then we will see that the amplitude would be reduced the half and for this case:

A_f = \frac{0.54cm}{2}= 0.27 cm = 0.0027 m

Explanation:

For this case we have the following data given:

D= 1mm = 0.001 m represent the diameter

r = D/2= 0.0005m represent the radius

T= 5.7 N represent the tension

f = 57 Hz represent the frequency of the oscillator

A= 0.54 cm = 0.0054 m represent the amplitude of the wave

Part a

For this case we can assume that the power transmitted to the wave is the same power of the oscillator. and we have the following formula for the power:

P= 2 \pi^2 \rho S v f^3 A^2

This expression can be written in different ways:

P= 2 \pi^2 \rho S \sqrt{\frac{T}{\mu}} f^2 A^2

P= 2\pi^2 \rho S \sqrt{\frac{T}{\rho S}} f^2 A^2

P= 2 \pi^2 f^2 A^2 \sqrt{S \rho T}

Where f is the frequency , T the tension rho= 7800 \frac{kg}{m^3} the density of the steel, A the amplitude and S= \pi r^2 the area, so then we have everuthing in order to replace and we got:

P = 2 \pi^2 (57 Hz)^2 (0.0054 m)^2 \sqrt{\pi(0.0005m)^2 (7800 \frac{kg}{m^3}) (5.7N)}=  0.349 W

Part b

For this case we se that P \propto A^2 f^2

Since the power is constant but the frequency is doubled we will see that A^2 \propto \frac{P}{f^2}

So the original amplitude is A_i \propto \sqrt{\frac{P}{f^2}}

And if the frequency is doubled we have that:

A^2_f \propto \frac{P}{(2f)^2}= \frac{P}{4f^2}

A_f \propto \sqrt{\frac{P}{4f^2}}= \frac{1}{2} \sqrt{\frac{P}{f^2}}

So then we will see that the amplitude would be reduced the half and for this case:

A_f = \frac{0.54cm}{2}= 0.27 cm = 0.0027 m

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Answer:

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