Final answer:
To find the velocity of an electron with a given momentum of 3.04 x 10^-21 kg-m/s, divide the momentum by the mass of the electron (9.11 x 10^-31 kg), resulting in a velocity of approximately 3.34 x 10^7 m/s, which is much less than the speed of light, c.
Step-by-step explanation:
The velocity of an electron that has a momentum of 3.04 × 10⁻²¹ kg·m/s can be calculated using the formula for momentum, p = mv, where p is momentum, m is mass, and v is velocity. The mass of an electron is 9.11 × 10⁻³¹ kg. Therefore, the velocity v can be found by rearranging the formula to v = p/m. Plugging in the given momentum and the mass of the electron, we calculate the velocity to be:
v = (3.04 × 10⁻²¹ kg·m/s) / (9.11 × 10⁻³¹ kg)
Velocity of the electron ≈ 3.34 × 10⁷ m/s, to four significant figures.
To find the velocity of an electron with a given momentum, we can use the equation:
p = mv
Where p represents the momentum, m is the mass of the electron, and v is the velocity. Rearranging the equation to solve for velocity, we get:
v = p/m
Plugging in the values, we have:
v = (3.04 × 10-21 kg·m/s) / (9.11 × 10-31 kg)
Calculating this expression gives the velocity of the electron, which is approximately 3.346 × 109 m/s (to at least four digits).
This velocity is significantly less than the speed of light c, which is approximately 3.00 × 10⁸ m/s.