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?

Please post your questions only once.

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?

Express your answer with the appropriate units

1.804⋅10−34m

To find the wavelength of the golf ball, we need to use the equation that relates wavelength (λ), speed (v), and frequency (f):

v = f * λ

Here, the speed given is 80.0 m/s. We know the speed of the golf ball, but we don't have the frequency. However, we can use the knowledge that the golf ball is a macroscopic object, and therefore it doesn't have a specific frequency associated with it like light waves or particles do.

However, if we assume that the golf ball is behaving as a particle, we can use the de Broglie wavelength equation:

λ = h / p

Where λ is the wavelength, h is the Planck constant (6.626 x 10^-34 J·s), and p is the momentum of the object. Momentum (p) is given by the equation:

p = m * v

Where m is the mass (45.9 g) and v is the velocity (converted from 80.0 m/s to kg·m/s).

Now, let's calculate the wavelength step by step:

1. Convert the mass from grams to kilograms:
mass = 45.9 g = 0.0459 kg

2. Convert the velocity from m/s to kg·m/s:
velocity = 80.0 m/s

3. Calculate the momentum:
p = m * v
p = 0.0459 kg * 80.0 m/s

4. Calculate the wavelength using the de Broglie equation:
λ = h / p
λ = 6.626 x 10^-34 J·s / (0.0459 kg * 80.0 m/s)

By plugging in the values and performing the calculation, we can find the wavelength of the golf ball.