can you check my reasoning
1. The problem statement, all variables and given/known data
ok well then...
we did a lab were you have a hanging mass attached to a stirng that went through a straw and was attached to a rubber stopper. The lab was to find the mass of the rubber stopper once you know the velocity. So I was woundering if this looks correct
2. Relevant equations
f = ma
m1 = mass of stopper
m2 = mass of hanging mass
radial acceleration = r^-1 v^2
3. The attempt at a solution
net force radial = m (acceleration radial) = force of gravity on mass m2
net force radial = (m1 + m2) (acceleration radial) = m2 g
net force radial = m1(acceleration radial) + m2 (acceleration radial) = m2 g
net force radial = m1(acceleration radial) = m2 g - m2 (acceleration radial)
divided both sides by acceleration radial
m1 = (acceleration radial)^-1 ( m2 g - m2 (acceleration radial) )
at which point I plugged in the value I found for the radius
the value I found for the period
and found the radial acceleration
Not if I understand what you did. a mass m1 was spun horizontally, and tied to a hanging mass m2. IF that is true, then
radial force=hanging force
m2 v^2/r=m1g
I don't understand what you did.
why would the hanging mass of a radial acceleration if it\'s just in equilibrium...???
m1 V^2/r = m2 g
I did this
net force = (m1 + m2) (radial acceleration of mass m1) = force of gravity on mass m2
What was the experiment setup? Was m1 rotating horizontally? Was m2 a hanging mass attacahed to the cord holding the rotating mass?
mass m1 was a robber stooper
m1 was attached to a string that went through a straw
on the other end of the straw the string came out and was attached to a mass m2
students spun mass m1 with hand on straw as the stopper spun around mass m2 the hanging mass was in equilibrium as mass m1 the stopper spun around in a circle and experienced a radial force
Then m2 was as I thought, it was supplying the tension counter centripetal force.
m2*g=m1*v^2/r
Let's go through the steps of your reasoning and check if it looks correct:
1. You correctly state the problem statement and the relevant variables.
2. You mention the equation F = ma, which is the equation for force.
3. You introduce two masses, m1 and m2, where m1 is the mass of the stopper and m2 is the mass of the hanging mass. It seems like you are trying to relate the net radial force to the gravitational force acting on the hanging mass.
4. You use the equation for radial acceleration, which is correct: radial acceleration = r^-1 * v^2, where r is the radius and v is the velocity.
5. You set up the net radial force equation: net force radial = m (acceleration radial) = force of gravity on mass m2.
6. You then try to find the net radial force equation in terms of m1 and m2 by substituting m1 * acceleration radial for the net radial force, which is incorrect. The net radial force should be the force of gravity acting on the system, which is the sum of the force of gravity on m1 and m2.
7. Dividing both sides of the equation by acceleration radial is not necessary at this point because you are trying to find the mass of the stopper (m1), not the acceleration radial.
8. The equation you end up with, m1 = (acceleration radial)^-1 ( m2 g - m2 (acceleration radial) ), does not seem correct based on the steps taken.
To find the mass of the stopper (m1) once you know the velocity, you can use the following steps:
1. Start by calculating the force of gravity acting on the hanging mass (m2) using the equation F = m2 * g, where g is the acceleration due to gravity.
2. Since the net radial force is the force of gravity acting on the system, you can write the equation as m1 * acceleration radial + m2 * acceleration radial = m2 * g.
3. Rearrange the equation to solve for m1: m1 * acceleration radial = m2 * g - m2 * acceleration radial.
4. Divide both sides of the equation by acceleration radial to solve for m1: m1 = (m2 * g - m2 * acceleration radial) / acceleration radial.
5. Plug in the values for m2, g, and acceleration radial that you have obtained from your measurements.
6. Solve the equation to find the mass of the stopper (m1).
By following these steps, you should be able to determine the correct equation to find the mass of the rubber stopper.