The impulse is equal to the variation of momentum of the object:

where m is the mass object and

is the variation of velocity of the object.
The ball starts from rest so its initial velocity is zero:

. So we can rewrite the formula as

or

and since we know the impulse given to the ball (I=16 Ns) and its mass (m=2 kg), we can find the final velocity of the ball:
Solution :
The distance between the starting point and the end point,
= 10 light years
But due to the relativistic motion of Bob and Charlie, the distance will be reduced following the Lorentz contraction. The contracted length will be different since they are moving with different speeds.
For Bob,
Speed of Bob's rocket with respect to Alice, 
So the distance appeared to Bob due to the length contraction,



Therefore, the time required to finish the race by Bob is


= 10.143 year
For Charlie,
Speed of Charlie's rocket with respect to Alice, 
So the distance appeared to Charlie due to the length contraction,



The time required to finish the race by Charlie is


= 5.77 year
Answer:
Lilly's speed is two times John's speed.
Explanation:
m = Mass
a = Acceleration
t = Time taken
u = Initial velocity
v = Final velocity
The force they apply on each other will be equal




Hence, Lilly's speed is two times John's speed.
Answer:
The alligator will take t = 10 s to reach the final speed of 35 m/s
Explanation:
As we know that the initial speed of the alligator is 5 m/s
then it accelerate by given acceleration to reach the final speed of 35 m/s
so we will have



now we have



Answer:
See Explanation
Explanation:
The frequency of sound waves received by the microphone influences the output or pitch of the sound obtained from the microphone.
The higher the frequency of the sound received by the microphone, the higher the output of the microphone and vice versa. This is because, the higher the frequency of sound, the higher the oscillations produced and the greater the output of the microphone.
The rise and fall in the pitch of sound waves as the frequency of sound waves varies is called inflection.