Proving initial speed of a particle

AI Thread Summary
To prove the initial speed of particle A, the equation v² = v₀² + 2gh is utilized to determine the speed of particle B just before it falls. Given that particle B falls a height of 0.8m, its speed can be calculated using gravitational acceleration. Once B's speed is known, conservation of momentum principles are applied to find the speed at which particle A begins to move. The calculations confirm that particle A's initial speed is 1.04 m/s when B falls. This approach effectively combines kinematic equations with momentum conservation to solve the problem.
paradiselost
Messages
2
Reaction score
0

Homework Statement


Particle A of mass 1kg is at rest 0.2m from the edge of a smooth horizontal table 0.8m high. It is connected by a light inextensible string of length 0.7m to particle B of mass 0.5kg. Particle B is initially at rest at the edge of table closest to A but then falls out. Assuming B's initial horizontal velocity is zero, prove that speed which A begins to move is 1.04m/s


Homework Equations


F = ma
Momentums : m(v-u) etc.


The Attempt at a Solution


I solved it before, but I can't seem to remember how to =(
 
Last edited:
Physics news on Phys.org
do you know this equation:
v^{2}=v^{2}_{0}+2gh
which can be derived from equation of motion in straight line with constant acceleration. You can use it to find speed of B at the moment when it starts to pull ball A. When you have this velocity, use conservation of momentum.
 
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