Answer:
The self-inductance is
Explanation:
From the question we are told that
The number of loops is
The length of the rod is
The radius of the rod is
The self-inductance for the solenoid is mathematically represented as
Now the cross-sectional of the solenoid is mathematically evaluated as
substituting values
and is the permeability of free space with a value
substituting values into above equation
Answer:
v = 34.35 m/s
Explanation:
In order to find the speed of the car, when it has traveled 60m, you take into account the Work-Energy theorem, which is given by the following formula:
(1)
W: work done on the roller coaster by the electromagnetic propulsion
m. mass of the roller coaster = 700kg
v2: final speed of the roller coaster = ?
v1: initial speed = 0m/s
you have that the force exerted on the roller depends on x, the distance traveled by the roller. To calculate the work W, you use the following integral:
(2)
where F is given by:
You replace the previous function F in the integral (2) and calculate W:
Next, you solve the equation (1) for v2, and replace the values of all parameters:
The final speed of roller coaster, after it has traveled 60m is 34.35m/s
A mixture IS NOT a chemical combining of substances. If substances
combine chemically, then they form a compound, not a mixture.
Answer:
-5.1 kg m/s
Explanation:
Impulse is the change in momentum.
Change in momentum= final momentum - initial momentum=m +m
Plugging in the values= -0.15*24 - (0.15*10) (The motion towards the pitcher is negative as the initial motion is considered to be positive)
Impulse=-5.1 kg m/s (-ve means that it is the impulse towards the pitcher)
a) Remember Newton's second Law:
F = m*a
This means that the forces that is being exerted over an object is equal to the mass of the object times the acceleration that it has.
In this case, in order to hold the mass you need a force with the same magnitude but opposite direction to the gravitational force. The magnitude of this force would be the mass of the object times the gravitactional acceleration:
F = 2kg*9.80665m/s² = 19.6133 N
b) Using again Newton's second Law, we can issolate mass from that equation:
m = F/a
Then, the mass that a force of 1N can support is equal to:
m = 1N/9.80665m/s² = 0.102 kg