How Do Forces on a Balance Change When a Man Throws a Ball?

AI Thread Summary
The discussion revolves around the forces acting on a balance when a man throws a ball vertically and later catches it. During the throw, the man exerts an additional force on the ball, resulting in a change in momentum that affects the balance's readings. When the ball is in the air, the only forces acting on the man are gravitational force and normal reaction, leading to a consistent force on the balance. The average force measured by the balance can be calculated using the change in momentum over time, but the time interval is not provided. Understanding the forces during both the throw and the ball's flight is crucial for solving the problem accurately.
Tosh5457
Messages
130
Reaction score
28
I have to deliver this problem resolved in 4 hours, I didn't think it was going to be so hard...

Homework Statement


A man of mass M is on the top of a balance with a very high damping coefficient. In a given instant he throws a ball of mass m vertically, catching it again later.

a) Explain what are the forces that act on the balance during the vertical movement of the ball, knowing that it hits a maximum height h, from the starting point.

b) Calculate the average force measured by the balance during the ball's movement.


Homework Equations



Favg = \frac{\Delta p}{\Delta t}
\Delta U = mgh
-\Delta U = \Delta K

The Attempt at a Solution



First, I didn't even understand the question very well... During the movement of the ball, is it when the man is throwing it or when it's on the air? If it is when it's on the air this is a 7th grade physics question, because the only forces on the man are the gravitational force and the normal reaction, so on the balance the only force is a force of the same magnitude as the normal reaction...

And in case is during the throwing of the ball, I don't know the \Delta t to calculate the average force...
 
Last edited:
Physics news on Phys.org
While he is accelerating the ball upwards, he is exerting extra force on it. The result being that he imparts a momentum p to the ball. While he is exerting a force on the ball, it is exerting an equal but opposite force on him.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top