The mass of a golf ball is 45.9g g . If it leaves the tee with a speed of 70.0m/s m/s , what is its corresponding wavelength?
wavelength= placnksconstant/momentum
change grams to kg first.
2*10
To find the corresponding wavelength of the golf ball, we need to use the equation that relates the wavelength (λ) to the mass (m) and speed (v) of an object. This equation is known as the de Broglie wavelength equation, given by:
λ = h / (m * v)
Where:
λ is the wavelength
m is the mass of the object
v is the velocity of the object
h is Planck's constant, which is approximately 6.626 x 10^-34 J·s (joule-seconds).
In this case, we are given the mass of the golf ball (m = 45.9 g) and its speed (v = 70.0 m/s), so we can substitute these values into the equation to calculate the wavelength.
First, we need to convert the mass from grams to kilograms, since the SI unit for mass is kilograms:
m = 45.9 g = 45.9 * 10^-3 kg = 0.0459 kg
Now we can substitute the values into the equation:
λ = (6.626 x 10^-34 J·s) / (0.0459 kg * 70.0 m/s)
Calculating this expression will give us the corresponding wavelength of the golf ball.