1) c. 2 m/s
Explanation:
The relationship between frequency, wavelength and speed of a wave is
where
v is the speed
is the wavelength
f is the frequency
For the wave in this problem,
f = 4 Hz
So, the speed is
2) a. 2.8 m/s
The speed of the wave on a string is given
where
T is the tension in the string
is the linear mass density
In this problem, we have:
(final tension in the rope, which is twice the initial tension)
--> mass density of the rope
Substituting into the formula, we find
Answer:
v' = 2.4 m/s
Explanation:
Given that,
Mass of one skater, m = 60 kg
Mass of the other's skater, m' = 60 kg
The two skaters push off each other. After the push, the smaller skater has a velocity of 3.0 m/s.
When there is no external force acting on a system, the momentum remains conserved. It means initial momentum is equal to the final momentum. Let v' is the velocity of the larger skater.
mv = m'v'
So, the velocity of the larger skater is 2.4 m/s.
Answer:
f = 735 Hz
Explanation:
given,
Person distance from speakers
r₁ = 4.1 m r₂ = 4.8 m
Path difference
d = r₂ - r₁ = 4.8 - 4.1 = 0.7 m
For destructive interference
where, n = 1, 3,5..
we know, λ = v/f
v is the speed of the sound = 343 m/s
f is the frequency
for n = 1
f = 245 Hz
for n = 3
f = 735 Hz
Hence,the second lowest frequency of the destructive interference is 735 Hz.