NOTE: This post is designed based on the videos. So please do watch videos before reading to their descriptions.
Here's another fabulous physics game. This one is based on one of the most interesting concepts in physics, Kinetics of particles(Dynamics). You must have seen on YouTube, mechanisms in which the narrator releases a ball or slightly pushes a plate and then everything happens on its own. This game is kind of similar to such mechanisms. In each level, our target is to put the coloured balls in corresponding vessels.
Oscillations, Impacts, Work Energy Principle are some the frequently encountered phenomena in this game. Following videos explain some of them:
The red ball takes the cover of two gray balls. Unfortunately, I'm a bit smarter. I kicked butts of two gray balls and eventually the red ball got one on it's own. Also observe the position of the ball when I cut the rope. It's the center!
Logic:(i) The velocity of oscillating particle is maximum at the center and minimum at the ends of it's path.As a result, when I release the ball when it is at the center of its path, it strikes the gray one with maximum velocity.
(ii) When you strike a ball with another ball in rest, the latter is set into the motion. This happens because of the concept called as 'Inelastic collision'. The part of kinetic energy of the first ball is transmitted to the second ball, due to which it starts moving. In the above case, the impact of oscillating gray ball on the stationary one, transmits the kinetic energy of former to the latter. This energy travels through and eventually reaches the red ball. As a result the red ball is set into the motion. Whenever two bodies collide, such that there is loss of kinetic energy, then such a collsion is called as Inelastic collision.
(m1v1)i+(m2v2)i=(m1v1)f+(m2v2)f
[m1 and m2=> masses of colliding particles.
v1 and v2=>velocities of colliding particles.
'i'=>Initial values
'f'=>Final values]
If blue and gray balls have same mass then m1=m2.
Blue ball is initially at rest. (v2)i=0
After collision, gray balls remains stationary. (v1)f=0
therefore, (v2)f=(v1)i. Thus,velocity of blue ball after collision is equal to the velocity of gray ball before collision.
(ii) When you strike a ball with another ball in rest, the latter is set into the motion. This happens because of the concept called as 'Inelastic collision'. The part of kinetic energy of the first ball is transmitted to the second ball, due to which it starts moving. In the above case, the impact of oscillating gray ball on the stationary one, transmits the kinetic energy of former to the latter. This energy travels through and eventually reaches the red ball. As a result the red ball is set into the motion. Whenever two bodies collide, such that there is loss of kinetic energy, then such a collsion is called as Inelastic collision.
This case is quite similar to previous one. But, note that the height up to which the blue ball reaches is equal to the height achieved by the gray one.
Logic: The concept is, THE LAW OF CONSERVATION OF MOMENTUM.Momentum is the product of mass of the particle and it's velocity (mv). Let me explain this in simple words. You may survive if you get hit by a car traveling at 20 m/s. However, You are doomed if you get hit by a train traveling at 2m/s.
The reason is, the mass of the train is very large as compared to that of the car. Hence the product (m*v) i.e. the momentum for train is huge even if the speed of train is less.
Anyways, The law states that,
(m1v1)i+(m2v2)i=(m1v1)f+(m2v2)f
[m1 and m2=> masses of colliding particles.
v1 and v2=>velocities of colliding particles.
'i'=>Initial values
'f'=>Final values]
If blue and gray balls have same mass then m1=m2.
Blue ball is initially at rest. (v2)i=0
After collision, gray balls remains stationary. (v1)f=0
therefore, (v2)f=(v1)i. Thus,velocity of blue ball after collision is equal to the velocity of gray ball before collision.
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