Which point lies on the line with point slope equation : y+5=2(x+8)
2 answers:
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Answer:
1) The time it takes the diver to move off the end of the diving board to the pool surface, , is approximately 1.392 seconds
2) The horizontal distance from the edge of the pool to where the diver enters the water, , is approximately 5.76 meters
Explanation:
1) The given parameters are;
The height of the diving board above the pool's surface, h = 9.5 m
The length by which the diving board over hangs the pool L = 2 m
The speed with which the diver runs horizontally along the diving board, v₀ = 2.7 m/s
Taking = The time it takes the diver to move off the end of the diving board to the pool surface
Therefore, we have from the equation of free fall;
h = 1/2 × g × ²
Where;
g = The acceleration due to gravity = 9.81 m/s²
Substituting the values, gives;
9.5 = 1/2 × 9.81 × ²
= √(9.5/(1/2 × 9.81)) ≈ 1.392 s
The time it takes the diver to move off the end of the diving board to the pool surface = ≈ 1.392 s
2) The horizontal distance, , in meters from the edge of the pool to where the diver enters the water is given as follows;
= L + v₀ ×
= 2 + 2.7× 1.392 ≈ 5.76 m
∴ The horizontal distance from the edge of the pool to where the diver enters the water ≈ 5.76 meters.
1) 0.266 H
2) 0.040 J
3)
Explanation:
The diagram of the circuit is missing: find it in attachment.
1) What is L, the value of the inductance of the circuit?
For an RLC circuit, the resonant angular frequency is given by:
where
L is the inductance of the circuit
C is the capacitance of the circuit
In this problem, we have:
is the angular frequency of the generator, at which the circuit is in resonance
is the capacitance
Therefore, solving for L, we find the inductance of the circuit:
2) What is umax,c, the value of the maximum energy stored in the capacitor during one cycle
The maximum energy stored in a capacitor is given by the equation
where
C is the capacitance of the capacitor
V is the maximum potential difference across the capacitor
Here we have:
is the capacitance
is the maximum voltage across the capacitor, which is the emf of the generator
Substituting, we find:
3) What is R, the value of the resistance of the circuit?
Here we want to find the resistance of the circuit.
The resistance of the circuit can be found by using Ohm's Law:
where
V is the maximum voltage
R is the resistance
I is the maximum current
Here we have:
V = 24 V is the maximum voltage provided by the generator
I = 0.78 A is the maximum current in the circuit
Solving for R, we find the resistance:
