To solve this problem, apply the concepts related to Hooke's law. From there we will find the spring constant. Subsequently, applying Energy balance, which includes gravitational potential energy, elastic potential energy and kinetic energy, we will bury the system's energy. Finally, using the displacement expression for the simple harmonic movement, we will find the expression that describes the system.
PART A) The expression for the spring force is

Here,
k = Spring constant
x = Displacement
Rearranging to find the spring constant we have that



PART B ) The gravitational potential energy acts on the spring holds the cart is zero. Since cart is placed in the equilibrium position. The kinetic energy of the cart is zero. Therefore the expression for the total energy is,




PART C) The expression for the angular frequency is



The equation for the motion of the cart is

Replacing,

Renewable resources-resources which get renewed or replenished quickly. e.g..solar and wind energy.
non renewable resources-resources which have a limited stock. once this stock is exhausted it may take years to get renewed or replenished.eg.coal,petroleum,natural gas.
I know only the definitions advantages I don't know.
SORRY.
HOPE THIS HELPS.
Answer:
C. X: Allows current to flow into the commutator
Y: Conducts current to the armature and reverses direction of current
Explanation:
Carbon brush is a motor brush that acts as the conducting block for current between the stator and the rotor of a motor.It is made of carbon blocks.The brush is held in place using a spring that ensures its contact position with the commutator.The commutator prevents the torque on the motor from reversing whenever the coil is rotating in the magnetic field.
Answer:
d) Both a and b are correct
Explanation:
Displacement: It is defined as the distance between initial and final position during motion.
Distance: It is defined as the total path length traveled by object
Or
It is the distance of one place from other place.
Student said that the displacement between my dorm and the lecture hall is 1km.
It is not displacement .It is distance or we say path length.
Therefore, he is using incorrect physical quantity for the information provided.
He should have called distance 1 km or path length 1 km.
Option d is true.
<h2>Potential energy lost by 10 N rock will be greater</h2>
Explanation:
Two rocks of 5N and 10N falls from the same height . Thus they will loose the potential energy.
The potential energy lost = mass x acceleration due to gravity x height
The potential energy lost by first 5 N rock = 5 h
Because weight of rock m g = 5 N
Similarly , the potential energy lost by 10 N Rock = 10 h
here weight of rock m g = 10 N
Thus comparing these two , the potential energy lost by 10 N rock is greater than that of 5 N rock .