Answer:
The angular frequencies of all the 3 pendulums shall be same.
Explanation:
The time period of a simple pendulum with the approximation 
is given by:
The angular frequency 
is given by
As we can see that the angular frequency is independent on the initial angle (valid strictly for small angle approximations) we conclude that the angular frequencies of the 3 pendulums are the same.
Given:-
- Time taken by the particle (t) = 6 s
- Average speed (v) = 40 m/s
To Find: Distance (s) travelled by the particle.
We know,
s = vt
where,
- s = Distance travelled,
- v = Speed &
- t = Time taken.
Putting the values,
s = (40 m/s)(6 s)
→ s = 240 m ...(Ans.)
Answer:
A. Kinetic energy is converted to electric potential energy, and the proton moves more slowly.
Explanation:
When a moving proton is brought close to a stationary one, the kinetic energy of the moving one is converted to electric potential and the proton moves more slowly.
Kinetic energy is the energy due to the motion of a body. A moving proton will possess this form of energy.
Two protons according to coulombs law will repel each other with an electrostatic force because they both have similar charges. This will increase their electric potential energy of both of them.
Potential energy is the energy at rest of a body. As it increases, the motion of a body will be slower and it will tend towards being stationary.
Answer:
Momentum = 1.534 kgm/s
Explanation:
Using the equations of motion, we can obtain the velocity of the ball as it hits the ground.
g = 9.8 m/s²
y = 12 m
u = initial velocity = 0 m/s, since the ball was released from rest
v = final velocity befor the ball hits the ground.
v² = u² + 2ay
v² = 0 + 2×9.8×12 = 235.2
v = 15.34 m/s
The momentum at any point is given as mass × velocity at that point
Mass = 100 g = 0.1 kg, velocity = 15.34 m/s
Momentum = 0.1 × 15.34 = 1.534 kgm/s
