Explanation
Between two collisions direction of velocity of ball get reversed at the highest point.
Potential energy increases and kinetic energy decreases when the height of the particle increases it is clear from the graph (a).
When the distance between atoms is large then interatomic force is very weak. When they come closer, force of attraction increases and at a particular distance force becomes zero. When they are further brought closer force becomes repulsive in nature.
This can be explained slope of U – x curve shown in graph (a).
Since, it is inelastic collision, energy will be lost, therefore, energy is not same. Hence, option (b) is incorrect. The linear momentum of ball will not be before and after the collision as there is an impulsive force on the ball by ground.
Hence, (a) is incorrect.
For the system bail and earth, the impulsive forces become internal, hence linear momentum of system will be conserved.
Hence, option (c) is correct.
Option (d) is correct because the total energy of the system is definitely conserved even if some energy is in form of heat or sound etc.
Thus, option (c) and (d) are correct.
Both the statement I & statement II is true, statement II is not a correct explanation for statement I. In fact the momentum is conserved both in elastic as well as in inelastic collision. But in elastic collision the total kinetic energy of the system is also conserved.
The coefficient of friction between two surfaces is independent of angle of inclination of the surface.
In perfectly elastic collision velocity after collision will be horizontal
So, vertical component after striking will be zero.
If two protons are brought near one another, work has io be done agains electrostatic force because same charge repel each other. This work done is stored as potential energy in the system.
If roads of the mountain were to go straight up, the slope θ would have been large, the frictional force µmg cos θ would be small. Due to small friction, wheels of vehicle would slip. Also for going up a large slope, a greater power shall be required.
Change in kinetic energy = Work done by net force. This relationship is valid for particle as well as system of particles.
The work clone on the spring against the restoring force is stored as potential energy in both conditions when it is compressed or stretched.
The gravitational force on the comet due to the sun is a conservative force. Since, the work done by a conservative force over a closed path is always zero (irrespective of the nature of path), the work done by the gravitational forces over every complete orbit of the comet is zero.
Rate of change of momentum is proportional to external forces acting on the system. The total momentum of whole system remain constant when no external force is acted upon it. Internal forces can change the kinetic energy of the system.
Work done in the motion of a body over a closed loop is zero only when the body is moving under the action of conservative forces (like gravitational or electrostatic forces), i.e., work done depends upon the nature of force.
When the force retards the motion, the work done is negative.
Work done depends on the angle between force and displacement W = Fs cos θ
In an elastic collision both the momentum and kinetic energy remains conserved. But this rule is not for individual bodies, but for the system of bodies before and after the collision. While collision in which there occurs some loss of kinetic energy is called inelastic collision. Collision in daily life are generally inelastic. The collision is said to be perfectly inelastic, if two bodies stick to each other.
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