The mass of a golf ball is 45.9g . If it leaves the tee with a speed of 80.0m/s , what is its corresponding wavelength?
1.80*10^-34 m (Mastering Chemistry Answer)
The DeBroglie wavelength of a moving body is given by:
wavelength = h / mv
h = 6.63x10^-34 Js
m = 0.0459 kg
v = 80.0 m/s
Substitute the above values into the formula to find the wavelength.
The mass of a golf ball is 45.9 . If it leaves the tee with a speed of 80.0 , what is its corresponding wavelength?
Well, that's quite a swing! Let me calculate that for you. To find the wavelength, we can use the equation:
wavelength = Planck's constant / (mass x velocity)
But since you mentioned a golf ball, I think it's safe to assume you're not dealing with quantum mechanics here. So, let's just say the wavelength is more like the distance between teeing off and searching for your ball in the rough.
To determine the wavelength of the golf ball, we need to use the equation that relates the momentum of an object to its wavelength. The equation is:
wavelength = h / p
In this equation, "h" represents the Planck's constant, and "p" represents the momentum of the golf ball.
To calculate the momentum of the golf ball, we can use the equation:
momentum = mass * velocity
Given that the mass of the golf ball is 45.9g (which is equivalent to 0.0459kg) and its speed is 80.0m/s, we can start by calculating the momentum:
momentum = 0.0459kg * 80.0m/s
You can now multiply these two values to find the momentum of the golf ball.
Once you have the momentum, you can use it to calculate the wavelength using the equation presented above:
wavelength = (Planck's constant) / (momentum)
Simply divide the value of Planck's constant by the momentum to find the wavelength of the golf ball.