Help with Centripetal Acceleration

In summary, the Bohr model of the hydrogen atom places the proton in the nucleus and the electron orbiting it at a radius of 5.29 x 10^-11m. The electron experiences a force of 7.72 x 10^-8 due to the proton. To find the centripetal acceleration, one can use Newton's Second Law and potentially consider Bohr's quantum condition or calculate the orbital velocity. This problem may seem difficult, but it can be easily solved without overthinking it.
  • #1
Newton122
1
0
please help:

The Bohr model of the hydrogen atom has the proton located in the nucleus with the electron orbiting it at a radius of 5.29 x 10^-11m.
a- What force does the electron experience due to the proton?
b- what is its centripetal acceleration

i already figured out part a which is 7.72 x 10^-8, but i have no idea how to find the centripetal acceleration

Please help
 
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  • #2
Do you know how to find the orbital velocity? Mayb you can think of Bohr's quantum condition.
 
Last edited:
  • #3
Can you use Newton's Second Law to find centripetal acceleration? Unless you're in a quantum mechanics class, this problem is as easy as it looks (don't feel bad, a lot of us make the mistake of thinking too hard sometimes).
 

What is centripetal acceleration and how does it differ from regular acceleration?

Centripetal acceleration is the acceleration that an object experiences when it moves in a circular path. It is always directed towards the center of the circle and is caused by a force called centripetal force. Regular acceleration, on the other hand, is the change in an object's velocity over time and can be in any direction.

What is the formula for calculating centripetal acceleration?

The formula for calculating centripetal acceleration is a = v^2/r, where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path.

How does centripetal acceleration affect an object's motion?

Centripetal acceleration causes an object to continuously change direction as it moves in a circular path. This results in a constant change in velocity, even if the speed remains constant. Without centripetal acceleration, an object would move in a straight line instead of a circular path.

What are some real-life examples of centripetal acceleration?

Some examples of centripetal acceleration in everyday life include a car turning on a curved road, a satellite orbiting around the Earth, a child on a merry-go-round, and a roller coaster moving around a loop.

How does centripetal acceleration relate to centripetal force?

Centripetal acceleration and centripetal force are directly related. Centripetal force is the force that causes an object to experience centripetal acceleration. It is always directed towards the center of the circle and is equal to the mass of the object multiplied by the centripetal acceleration. In other words, centripetal force is what keeps an object moving in a circular path.

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