A metal rod and a metal ball were submerged in a pot of water that is heated from 30°C to 80°C. At the bottom of the pot, one of the ends of the rod touches the ball. After heating the water, the ball moved. What is the final Velocity?
the ball will stop to move.
To determine the final velocity of the ball after heating the water, we need to consider the energy transfer that occurs between the water, the rod, and the ball.
1. Find the heat transferred to the water: To begin, we need to determine the heat transferred to the water. We can use the formula:
Q = mcΔT
Where Q is the heat transferred, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
2. Calculate the energy transferred to the rod and the ball: Since the rod and the ball are submerged in the water, they will also absorb some of the heat. The amount of energy transferred to the rod and the ball can be calculated using the same formula as in step 1.
3. Apply the conservation of momentum: When the rod and the ball touch at the bottom of the pot, some energy is transferred to the ball. This energy causes the ball to move.
We can use the conservation of momentum to determine the final velocity of the ball. The momentum before the transfer of energy is equal to the momentum after the energy transfer.
Initial momentum = Final momentum
Since the rod was initially at rest, the initial momentum is zero.
Final momentum = m * v
Where m is the mass of the ball and v is the final velocity of the ball.
4. Solve for the final velocity: We can rearrange the equation from step 3 to solve for the final velocity v:
m * v = 0 (since the initial momentum is zero)
Therefore, the final velocity v = 0 m/s.
As a result, the final velocity of the ball is zero, meaning it does not move after heating the water.