Answer:
The formula for the calculation of the magnetic field inside a solenoid is
B = μo*n*I
where
μo: vacuum permeability
n: turns per meter
I: current
The magnetic field inside de solenoid is constant. In the case of a small-radius solenoid inside a large-radius solenoid, the magnetic field inside the small-radius solenoid is the magnetic field generated by itself plus the magnetic field generated by the large-radius solenoid. (The radius of the solenoids does not have to be with the instensity of the magnetic field):
BT = Bs + Bl
Bs: magnetic fiel of the small-radius solenoid
Bl: magnetic fiel of the large-radius solenoid
Hence:
BT = 2*μo*n*I
Answer:
The correct option is C: 0.31 s.
Explanation:
When the mass is then suddenly released we have:
Where:
F is the force
k: is the spring constant
Δy: is the spring displacement
Since the tension in the spring is zero, the force is the weight:

Where:
m is the mass of the object
g is the gravity
(1)
The oscillation period of the spring is given by:
(2)
By solving equation (1) for "k" and entering into equation (2) we have:

Since the spring will osclliates in a position between the initial position (when it is at rest) and the final position (when the mass is released and reaches the bottom), we have Δy = 2.5 cm = 0.025 m:
Hence, the oscillation period is 0.31 s.
The correct option is C: 0.31s.
I hope it helps you!
Answer:
Time = 40 s
It will take the spaceship 40s to coast that distance.
Explanation:
Using the impulse momentum equation;
Impulse = change in momentum
Ft = m(∆v) ........1
Given;
Force F = 1200kN
time of action t = 20s
Mass of spaceship m = 8.0×10^4 kg
∆v = change in velocity
Substituting the values into equation 1;
1200kN × 20s =8.0×10^4 kg × ∆v
∆v = 1200000×20/80000
∆v = 300 m/s
Since it was initially at rest, V0 = 0
Final velocity V2 = 300 + 0
V2 = 300m/s
Time To travel 12 km,
Time = distance/speed
Distance = 12 km = 12000m
Speed = 300m/s
Time = 12000/300
Time = 40 s
It will take the spaceship 40s to coast that distance.
use consevation of linear momentum
- m1v1+m2v2=(M1+M2)V3
- 281(2.82)+209(-1.72)=(209+281)V2
- 792.42-359.48=490v3
- 432.9=490v3
- V3=0.88m/s