Answer:
2.83 m/s
Explanation:
Given:
Mass of the cart (m) = 20.0 kg
Initial velocity of the cart (u) = 0 m/s
Final velocity (v) = ? m/s
Displacement of the cart (S) = 8.0 m
Horizontal force acting on the cart (F) = 10.0 N
Surface is frictionless. So, only horizontal force is the force acting on the cart.
Now, as per work-energy theorem, the work done by the net force acting on a body is equal to the change in the kinetic energy of the body.
Here, the work done by the horizontal force is given as:
The change in kinetic energy is given as:
Now, from work-energy theorem:
Therefore, the speed of the cart when it has been pushed 8.0 m is 2.83 m/s.
Answer:
Option D
Explanation:
When another battery is added to the circuit, the power supplied through the coil and to the magnet becomes greater leading to stronger magnetic field lines being produced.
Answer:
Approximately 1.62 × 10⁻⁴ V.
Explanation:
The average EMF in the coil is equal to
,
Why does this formula work?
By Faraday's Law of Induction, the EMF induced in a coil (one loop) is equal to the rate of change in the magnetic flux through the coil.
.
Finding the average EMF in the coil is similar to finding the average velocity.
.
However, by the Fundamental Theorem of Calculus, integration reverts the action of differentiation. That is:
.
Hence the equation
.
Note that information about the constant term in the original function will be lost. However, since this integral is a definite one, the constant term in won't matter.
Apply this formula to this question. Note that , the magnetic flux through the coil, can be calculated with the equation
.
For this question,
- is the strength of the magnetic field.
- is the area of the coil.
- is the number of loops in the coil.
- is the angle between the field lines and the coil.
- At , the field lines are parallel to the coil, .
- At , the field lines are perpendicular to the coil, .
Initial flux: .
Final flux: .
Average EMF, which is the same as the average rate of change in flux:
.
The answer to this question should be: The accuracy in measuring its velocity decreases
Hope I helped