A circular loop of wire of radius 18 cm moves at a speed of 6.3 m/s in the direction of a 0.16 T uniform magnetic field, perpend
1 answer:
You might be interested in
<h2>Answer:</h2>
<em><u>(a). 16.741 m/s</u></em>
<em><u>(b). 15.75 m/s</u></em>
<h2>Explanation:</h2>In the question,
Height of the cliff, h = 37 m
Time taken to reach the sound to us = 2.92 s
Speed of the sound in air at room temperature = 343 m/s
Now,
Let us say the speed of the ball = u m/s
So,
Time taken by the ball to reach at the bottom, t is given by,
So,
Splash is heard after = 2.92 s
So,
<u>Time taken by sound to travel the shortest distance along the hypotenuse of the triangle</u> thus formed is,
t = 2.92 - 2.747
t = 0.172 s
Now,
Distance traveled by sound is given by,
So,
In the triangle using the Pythagoras Theorem,
Horizontal distance traveled is,
So,
Speed of throwing of ball is given by,
<em><u>Therefore, the speed of the ball = 16.741 m/s.</u></em>
(b).
If,
Speed of sound = 331 m/s
So,
<u>Distance traveled by sound</u> is,
So,
Distance traveled in the horizontal by ball is,
So,
Speed of the ball thrown is given by,
<em><u>Therefore, the speed of the ball = 15.75 m/s.</u></em>
Answer: n=4
Explanation:
We have the following expression for the volume flow rate of a hypodermic needle:
(1)
Where the dimensions of each one is:
Volume flow rate
Radius of the needle
Length of the needle
Pressures at opposite ends of the needle and
Viscosity of the liquid
We need to find the value of whicha has no dimensions, and in order to do this, we have to rewritte (1) with its dimensions:
(2)
We need the right side of the equation to be equal to the left side of the equation (in dimensions):
(3)
(4)
As we can see must be 4 if we want the exponent to be 3:
(5)
Finally:
(6)