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Valentin [98]
3 years ago
9

You and your roommate are moving to a city360 mi away. Your roommate drives a rental truck at a constant 50 mi/h , and you drive

your car at 60 mi/h . The two of you begin the trip at the same instant. An hour after leaving, you decide to take a short break at a rest stop
If you are planning to arrive at your destination a half hour before your roommate gets there, how long can you stay at the rest stop before resuming your drive?
Physics
1 answer:
AnnyKZ [126]3 years ago
3 0

Answer:

42 minutes

Explanation:

First, let us find out the time required by the roommate, who is driving the truck, to reach the city.

We know that,

time=\frac{distance}{speed} =\frac{360}{50} hrs=7.2hrs

Now, you are planning to rest a bit after traveling for an hour. So,

distance covered in that 1 hour = 60mi/h\times1h=60 miles

time required by you to cover the total distance = \frac{360mi}{60mi/h} =6hours

If you wish reach at the destination half an hour (0.5 h) before your roommate, you can expend a total of 7.2-0.5=6.7hours throughout your journey.

Hence, you can rest for  6.7-6=0.7hours=(0.7\times60)minutes=42minutes

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Given that the frequency of an EM wave is 4THz, what is its wavelength?
Vilka [71]

Answer:

The wavelength of the EM wave is 7.5 * 10⁻⁴ m

Explanation:

The velocity of a wave is related to its wavelength by the following formula;

velocity = wavelength * frequency

For an electromagnetic (EM) wave, its velocity is equal to the velocity of light, c = 3.0 * 10⁸ m/s

Given that the frequency and veloity of the given EM wave in the question is known, its wavelength is calculated as follows:

wavelength = velocity/frequency

where velocity of the EM wave = 3.0 * 10⁸ m/s;

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wavelength = 7.5 * 10⁻⁴ m

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3 years ago
Calculate the workdone to stretch an elastic string by 40cm if a force of 10 newton produces an extension of 4cm in it
notka56 [123]

Answer:

Workdone = 20 Joules

Explanation:

Given the following data;

Force = 10N

Extension, e = 4cm to meters = 4/100 = 0.04 meters

Workdone extension = 40cm to meters = 40/100 = 0.4 meters

To find the work done;

First of all, we would find the spring constant using the formula;

Force = spring constant * extension

10 = spring constant * 0.04

Spring constant = 10/0.04

Spring constant = 250 N/m

Next, we find the work done;

Workdone = ½ke²

Where;

k is the spring constant.

e is the extension.

Substituting into the formula, we have;

Workdone = ½ * 250 * 0.4²

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Explanation:

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Answer:

0.855 N

Explanation:

Using

F = BILsinФ.................... Equation 1

Where F = magnitude of the force exerted on the wire, B = magnetic Field, I = current, L = Length of the wire in the magnetic Field, Ф = angle between the wire and the magnetic field.

Given: B = 0.95 T, I = 15.0 A, L = 2r, r = radius = 3.0 cm = 0.03 m L = 2×0.03 = 0.06 m, Ф = 90° (perpendicular)

Substitute into equation 1

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