The kinetic friction coefficient between a cabinet and the floor is 0.3. Mass of the cabinet is 300kg. A man pushes the cabinet
1 answer:
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Answer:
The energy stored in the capacitor quadruples its original value.
Explanation:
The energy stored in a capacitor is given by the equation
where
C is the capacitance
V is the voltage across the plates
The capacitance, C, depends only on the properties of the capacitor, so it does not change when the voltage applied is changed.
Instead, in this problem the voltage applied is doubled:
V' = 2V
So the new energy stored is
so, the energy stored has quadrupled.
The collision is elastic. This means that both momentum and kinetic energy are conserved after the collision.
- Let's start with conservation of momentum. The initial momentum of the total system is the sum of the momenta of the two balls, but we should put a negative sign in front of the velocity of the second ball, because it travels in the opposite direction of ball 1. So ball 1 has mass m and speed v, while ball 2 has mass m and speed -v:
So, the final momentum must be zero as well:
Calling v1 and v2 the velocities of the two balls after the collision, the final momentum can be written as
From which
- So now let's apply conservation of kinetic energy. The kinetic energy of each ball is
. Therefore, the total kinetic energy before the collision is
the kinetic energy after the collision must be conserved, and therefore must be equal to this value:
(1)
But the final kinetic energy, Kf, is also
Substituting as we found in the conservation of momentum, this becomes
we also said that Kf must be equal to the initial kinetic energy (1), therefore we can write
Therefore, the two final speeds of the balls are
This means that after the collision, the two balls have same velocity v, but they go in the opposite direction with respect to their original direction.
- Let's start with conservation of momentum. The initial momentum of the total system is the sum of the momenta of the two balls, but we should put a negative sign in front of the velocity of the second ball, because it travels in the opposite direction of ball 1. So ball 1 has mass m and speed v, while ball 2 has mass m and speed -v:
So, the final momentum must be zero as well:
Calling v1 and v2 the velocities of the two balls after the collision, the final momentum can be written as
From which
- So now let's apply conservation of kinetic energy. The kinetic energy of each ball is
the kinetic energy after the collision must be conserved, and therefore must be equal to this value:
But the final kinetic energy, Kf, is also
Substituting
we also said that Kf must be equal to the initial kinetic energy (1), therefore we can write
Therefore, the two final speeds of the balls are
This means that after the collision, the two balls have same velocity v, but they go in the opposite direction with respect to their original direction.
Answer:
110.25 J
Explanation:
We are given that
Mass,M=2.5 kg
Radius,R=0.5 m
Distance,d=4.5 m
Initial speed,u=0
We have to find the total kinetic energy
According to law of conservation of energy
Total kinetic energy=Potential energy=mgh
Where g=
Using the formula
Total kinetic energy=
Total kinetic energy