In the Bohr model of the hydrogen atom,

the speed of the electron is approximately
2.41 × 106 m/s.
Find the central force acting on the electron
as it revolves in a circular orbit of radius
4.92 × 10−11 m.
Answer in units of N.
i used 9.10938188 × 10-31 as my mas and worked it out as follows many time and still come to a wrong answer.
F = mv^2 / r i used the numbers given plus that mass plugged them in and keep getting told i have the wrong answer help please :/.

i also have to find this any hits or help is much appreciated.

Find the centripetal acceleration of the electron.
Answer in units of m/s2.

To find the central force acting on the electron in the Bohr model, you correctly used the formula:

F = (m * v^2) / r

where
F is the central force,
m is the mass of the electron,
v is the speed of the electron, and
r is the radius of the circular orbit.

You mentioned using the mass of the electron as 9.10938188 × 10^-31 kg, which is correct.

Next, substitute the given values into the formula:

F = (9.10938188 × 10^-31 kg) * (2.41 × 10^6 m/s)^2 / (4.92 × 10^-11 m)

Let's calculate the force using this formula:

F = (9.10938188 × 10^-31) * (2.41 × 10^6)^2 / (4.92 × 10^-11)
≈ (9.10938188 × 10^-31) * (5.8081 × 10^12) / (4.92 × 10^-11)
≈ 5.3011 × 10^-18 / 4.92 × 10^-11
≈ 1.0772 × 10^-7 N

Therefore, the central force acting on the electron is approximately 1.0772 × 10^-7 Newtons (N).