To develop this problem it is necessary to apply the concept of Frequency based on speed and wavelength.
According to the definition the frequency can be expressed as
Where,
v = Velocity
Wavelength
Our value are given by,
v = 345m/s
Replacing
Therefore the frequency of the tuning fork is 547.61Hz
Answer:
1.15 m/s
Explanation:
Part of the question is missing. Found the missing part on google:
"1. A hanging mass of 1500 grams compresses a spring 2.0 cm. Find the spring constant in N/m."
Solution:
First of all, we need to find the spring constant. We can use Hooke's law:
where
is the force applied to the spring (the weight of the hanging mass)
x = 2.0 cm = 0.02 m is the compression of the spring
Solving for k, we find the spring constant:
In the second part of the problem, the spring is compressed by
x = 3.0 cm = 0.03 m
So the elastic potential energy of the spring is
This energy is entirely converted into kinetic energy of the cart, which is:
where
m = 500 g = 0.5 kg is the mass of the cart
v is its speed
Solving for v,