The self-inductance of the solenoid is 8.25 mH.
The given parameters;
- <em>number of turns, N = 1700 turn</em>
- <em>length of the solenoid, l = 55 cm = 0.55 m</em>
- <em>diameter of solenoid, d = 4 cm</em>
- <em>radius of the solenoid, r = 2 cm = 0.02 m</em>
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The area of the solenoid is calculated as follows;

The self-inductance of the solenoid is calculated as follows;

Thus, the self-inductance of the solenoid is 8.25 mH.
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Answer:
(a) the deceleration of the player is -80.36 m/s²
(b) the time the collision last is 0.093 s
Explanation:
Given;
Initial velocity of the football player, u = 7.50 m/s
Final velocity of the football player, v = 0
distance traveled = compression of the pad, s = 0.35 m
Part (a) the deceleration of the player
v² = u² + 2as
0 = 7.5² + (2 x 0.35)a
0 = 56.25 + 0.7a
- 56.25 = 0.7a
a = -56.25 / 0.7
a = -80.36 m/s²
Part (b) the time the collision last
v = u + at
t = (v - u)/a
t = (0 - 7.5)/ -80.36
t = - 7.5 / -80.36
t = 0.093 s
Answer:
Explanation:
Shoveling gravel into the water will increase the buoyancy of the barge, which will make it float higher. Without data it is hard to tell if it will raise the barge enough to be counterproductive, but in any case throwing away the payload is not a good idea. Adding some weights would make the barge float lower, and then maybe the plie can make it under the bridge.
The 4ohm resistor is not parallel to any devices, so the current through it is the same as the total current through the circuit.
Apply I = V/R
I = total current, V = battery voltage, R = total resistance
Calculate the total resistance R of the circuit first.
R will be the sum of the 4ohm resistor and the resistance of the 5&9ohm parallel resistors. To find the resistance of the pair, you apply the “sum of inverses” rule:
R = 1/(1/5 + 1/9) = 3.21ohm
Now add the 4ohm resistor:
R = 3.21 + 4 = 7.21ohm
Now let’s calculate I = V/R:
Given values:
V = 6.0V
R = 7.21ohm
Plug in and solve for I:
I = 6.0/7.21
I = 0.83A