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Yanka [14]
3 years ago
13

You and your friend are stranded on a raft of mass 1000 kg which is not moving, you can neglect friction between the boat and th

e water. After a strong argument, your friend throws the paddle of mass 40 kg overboard at a speed of 3 m/s. What is the recoil speed of the raft?
Physics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

Mass of raft=m1= 1000kg

Mass of paddle=m2=40kg

Speed of paddle=v2=3 m/s

Speed of raft=recoil speed=v1=?

Formula

V1= -(m2/m1)v2= -(40/1000)3= - 0.12m/s

Explanation:

Here the raft has much greater mass as compare the paddle and its velocity will always be negative due to recoil. 1 and 2 with masses and velocities are subscripts.

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To solve this problem, it is necessary to apply the concepts related to the constructive interference caused by the wavelengths of the sound traveling in the air.

From the definition of constructive interference we know that

\Delta x = n \lambda \rightarrow \lambda = \frac{\Delta x}{n}

Where

\Delta x = Distance between speakers

n = Integer which represent he number of repetition of the spectrum

\lambda = Wavelength

At the same time the frequency is subject to the form,

f = \frac{v}{\lambda}

Where

v = 343m/s \rightarrow Velocity (of the sound at this case)

From our given values we have to \Delta x is

\Delta x = 50.5m-26m

\Delta x = 24.5m

The wavelength would be subject to the sound spectrum therefore for n = 1,

\lambda = \frac{\Delta x}{n}

\lambda = \frac{24.5}{1}

\lambda = 24.5m

Then the frequency would be,

f = \frac{v}{\lambda}

f = \frac{343}{24.5}

f = 14Hz

For the value of n = 2,

\lambda = \frac{\Delta x}{n}

\lambda = \frac{24.5}{2}

\lambda = 12.25m

Then the frequency would be,

f = \frac{v}{\lambda}

f = \frac{343}{12.25}

f = 28Hz

For n = 3,

\lambda = \frac{\Delta x}{n}

\lambda = \frac{24.5}{3}

\lambda = 8.167m

Then the frequency would be,

f = \frac{v}{\lambda}

f = \frac{343}{12.25}

f = 42Hz

From the frequencies obtained we can identify that the two lowest frequencies that can be heard due to constructive interference are 28Hz and 42Hz

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Which statement best describes the difference between strong nuclear forces and weak nuclear forces?
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As per the question we have to understand the role of strong nuclear force and weak nuclear force.

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3 years ago
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A horse trots 17 miles north and then turns and trots 24 miles at an angle of 40° west of north. Find the resultant displacement
DanielleElmas [232]

Answer:

 Resultant displacement = 38.58 miles at an angle of 23.57° north of west.

Explanation:

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Initial displacement = 17 miles north = 17 j miles

Final displacement = 24 miles at an angle of 40° west of north = 24 miles at an angle of 130° to positive x -axis

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Total displacement = 17 j + (-15.43 i + 18.36 j) = -15.43 i + 35.36 j

Magnitude of displacement =\sqrt{(-15.43)^2+35.36^2} =38.58 miles

Angle to positive x -axis = tan⁻¹(35.36/-15.43) = 113.57°

Resultant displacement = 38.58 miles at an angle of 23.57° west of north.

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