A 55- kg woman has a momentum of 220 kg.m/s. What is her velocity?
1 answer:
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1) The average velocity is
2) The instantaneous velocity is
Explanation:
1)
The average velocity of an object is given by
where
d is the displacement
t is the time elapsed
In this problem, the position of the particle is given by the function
where t is the time.
The position of the particle at time t = 6 sec is
While the position at time t = 12 sec is
So, the displacement is
And therefore the average velocity is
2)
The instantaneous velocity of a particle is given by the derivative of the position vector.
The position vector is
By differentiating with respect to t, we find the velocity vector:
Therefore, the instantaaneous velocity at any time t can be found by substituting the value of t in this expression.
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Answer:
Explanation:
Given data
Train 1 speed v₀=125 km/h =34.7222 m/s
Train 2 speed vs=94.0 km/h=26.1111 m/s
Speed of sound v=343 m/s
Train 2 frequency fs=500 Hz
To find
Frequency f₀ heard by engineer on train 1
Solution
We can use below formula to find the required frequency