Answer:
2406 miles
Explanation:
Let A be the starting position, B the junction position and C the final position after flying the 3.5 hrs. Also, let b be the distance from the starting point:
#Distance traveled in 1.5hrs is;
#Distance traveled in next two hrs:
#Now using the Cosine Rule:
Hence, the pilot is 2406 miles from her starting position.
Answer:
The Current Iₜ = I₁ + I₂ + I₃
Charge Qₜ = Q₁ + Q₂ + Q₃
Potential difference Vₜ = V₁ = V₂ = V₃
The total capacitance Cₜ = C₁ + C₂ + C₃
Explanation:
According to the attached image;
For parallel arrangements of capacitors, the current flowing through each of the capacitors sums up to the total current flowing through the circuit;
Iₜ = I₁ + I₂ + I₃
Also the charge storage by each capacitor sums up to give the total charge stored;
Qₜ = Q₁ + Q₂ + Q₃
The potential difference across each of the capacitors are the same and equal to the total voltage across the circuit;
Vₜ = V₁ = V₂ = V₃
The total capacitance equals the sum of the capacitances of each of the capacitors;
Cₜ = C₁ + C₂ + C₃
Answer:
Explanation:
My speed after the interaction will depend upon the impulse the ball will make on me . Now impulse can be expressed as follows
Impulse = change in momentum
change in momentum in the ball will be maximum when the ball bounces back with the same velocity which can be shown as follows
change in momentum = mv - ( - mv ) = 2mv
So when ball is bounced back with same velocity , it suffers greatest impulse from my hand . In return , it reacts with the same impulse on my hand pushing me with greatest impulse according to third law of motion. this maximizes my speed after the interaction.
Answer:
vi) Double the current in the wire, and double the number of turns in the 20-cm long solenoid
Explanation:
The magnetic field inside the solenoid and the current flowing in the coil of solenoid are related to each other by the following equation
B₀=μ₀nI₀
Where,
B₀ is the magnetic field in the middle of solenoid
n is the number of turns in the coil of solenoid
I₀ is the current flowing in the coil of solenoid
In the above equation, as μ₀ is a constant so the magnetic field will be directly proportional to the number of turns multiplied by the current. So, changing the radius of the coil or length of the coil will have no effect on the magnetic field.
As we have to increase the magnetic field by 4 times, we need to double the current as well as the number of turns as mentioned in the option vi.
