To solve this problem we will apply the concepts related to the Doppler effect. This is understood as the change in apparent frequency of a wave produced by the relative movement of the source with respect to its observer. Mathematically this is given as,

Here,
v = Speed of the waves in the middle
= Speed of the receiver in relation to the medium (Positive if the receiver is moving towards the transmitter or vice versa)
= Speed of the source with respect to the medium (Positive if the source moves away from the receiver or vice versa)
Our values are given as,




Replacing,

Solving for the velocity of the source,

Therefore the speed of the other train is 26.1m/s
Answer:
Explanation:
speed of sound in 24 degrees celsius
345.48m/s
hence 345.48m/s x 3s = 1036.44m
The problem wants to compute how long does it take for the acceleration to occur if a car travelling at 7m/s accelerates uniformally at 2.5 m/s^2 to reach a speed of 12 m/s and base on that, the time duration would be 2 seconds. I hope this would help
Answer:
The speed of the knife after passing through the target is 9.33 m/s.
Explanation:
We can find the speed of the knife after the impact by conservation of linear momentum:


Where:
: is the mass of the knife = 22.5 g = 0.0225 kg
: is the mass of the target = 300 g = 0.300 kg
: is the initial speed of the knife = 40.0 m/s
: is the initial speed of the target = 2.30 m/s
: is the final speed of the knife =?
: is the final speed of the target = 0 (it is stopped)
Taking as a positive direction the direction of the knife movement, we have:

Therefore, the speed of the knife after passing through the target is 9.33 m/s.
I hope it helps you!
Answer:
Explanation:
b = b₀ cos ω t
When t = 0 , magnetic field will be b₀ and positive or directed into the page . This is the maximum value of magnetic field. As times goes ahead , magnetic field decreases so magnetic flux decreases . The induced emf or current will be such that it will opposes this reduction of magnetic field. Hence , current in clockwise direction will be generated in the coil which will generate magnetic flux into the paper.
In this way current will be induced clockwise.