Answer:
R = 0.24 kilo-ohm
Explanation:
Given that,
Voltage, V = 12 volt
Current, I = 50 mA = 0.05 A
We need to find the resistance of the resistor. We can find it using Ohm's law. So,
V = IR
or
R = 0.24 kohm
So, the value of resistance is 0.24 kilo-ohm.
It will take approximately 8 - 10 feet.
Three longest wavelengths will correspond to the three modes of vibration that has the least amount of nodes. For a standing wave on a string fixed on both ends we have the following formula:
Where L is the length of a string and n is the number of nodes of the standing wave.
From this formula, we see that the more nodes you have the lower your wavelength is.
We need to calculate wavelengths for n=1, n=2, and n=3.
The student's vertical speed when he was thrown out = 14.14 m/s
Speed of the student if he hit the ground = 14.14 m/s
Explanation:
Step 1:
It is given that the student reached a maximum height of 10 meters when he was thrown out. The initial speed with which he was throw is to be estimated.
Step 2:
The equation of motion connecting initial velocity, final velocity and distance is where v is the final velocity, u is the velocity with which he was thrown, a is acceleration due to gravity and s is the height.
The final velocity at the highest point 10 meters will be 0
s = 10 m
a = -10 m/
0 = + 2*(-10)*10
u = = 14.14 m/s
Step 3:
The final speed when the student hits the ground will be the same as initial speed of the student when he was thrown out.
So the final speed of the student if he hit the ground would be 14.14 m/s
Step 4:
Answer:
The student's vertical speed when he was thrown out = 14.14 m/s
Speed of the student if he hit the ground = 14.14 m/s