Proving initial speed of a particle

In summary, particle A of mass 1kg is connected to particle B of mass 0.5kg by a light inextensible string. When B falls off the edge of a smooth table, A begins to move with a speed of 1.04m/s. This can be proven by using the equation v^2 = v^2_0 + 2gh to find the initial velocity of B and then applying the conservation of momentum equation.
  • #1
paradiselost
2
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:
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  • #2
do you know this equation:
[tex]v^{2}=v^{2}_{0}+2gh[/tex]
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.
 

What is the initial speed of a particle?

The initial speed of a particle is the speed at which the particle is traveling at the beginning of its motion.

Why is it important to know the initial speed of a particle?

Knowing the initial speed of a particle is important in analyzing its motion and understanding the forces acting on it.

What are some methods for determining the initial speed of a particle?

Some methods for determining the initial speed of a particle include measuring its displacement over time, using a stopwatch and measuring distance, and using high-speed cameras to capture its motion.

How accurate are the methods used to determine the initial speed of a particle?

The accuracy of the methods used to determine the initial speed of a particle can vary depending on the method and equipment used. However, with proper techniques and equipment, the accuracy can be quite high.

Are there any factors that can affect the accuracy of determining the initial speed of a particle?

Yes, there are various factors that can affect the accuracy of determining the initial speed of a particle, such as air resistance, friction, and human error. These factors should be taken into consideration when conducting experiments and analyzing data.

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