Answer with Explanation:
We are given that
Mass of one cart,
Mass of second cart,
Initial velocity of one cart,
Initial velocity of second cart,
a.Total momentum,
b.Velocity of second cart,=0
According to law of conservation of momentum
Initial momentum=Final momentum
Answer:
The total energy is
Explanation:
From the question we are told that
The Poynting vector (energy flux ) is
The length of the rectangle is
The width of the rectangle is
The time taken is
The total electromagnetic energy falls on the area is mathematically represented as
Where A is the area of the rectangle which is mathematically represented as
substituting values
substituting values
Answer:
The angular speed of the sphere at the bottom of the hill is 31.39 rad/s.
Explanation:
It is given that,
Weight of the sphere, W = 240 N
Radius of the sphere, r = 0.2 m
Angle with the horizontal,
We need to find the angular speed of the sphere at the bottom of the hill if it starts from rest.
As per the law of conservation of energy, the total energy at the top is equal to the energy at the bottom.
Gravitational energy = translational energy + rotational energy
So,
I is the moment of inertia of the sphere,
Also,
h is the height of the ramp,
On solving the above equation we get :
So, the angular speed of the sphere at the bottom of the hill is 31.39 rad/s. Hence, this is the required solution.
