an empty coal car is moving along the tracks to a loading chute a 7km/hr., the mass of the empty car is 2000kg what is the speed of the loaded coal if the total mass of the car is now 10000 kg? give you answer in meters per second.
To find the speed of the loaded coal car, we can use the principle of conservation of momentum. According to this principle, the initial momentum of the empty car will be equal to the final momentum of the loaded car.
The momentum of an object can be calculated by multiplying its mass with its velocity. Therefore, the initial momentum of the empty car will be:
Initial momentum = Mass of empty car * Velocity of empty car
Given:
Mass of empty car = 2000 kg
Velocity of empty car = 7 km/hr = 7000 m/3600 s ≈ 1.944 m/s
Initial momentum = 2000 kg * 1.944 m/s ≈ 3888 kg·m/s
According to the conservation of momentum, the final momentum of the loaded car will also be 3888 kg·m/s. We can now calculate the velocity of the loaded car.
Final momentum = Mass of loaded car * Velocity of loaded car
Given:
Mass of loaded car = 10000 kg (Total mass of the car)
Velocity of loaded car = ?
Substituting the values into the equation, we get:
3888 kg·m/s = 10000 kg * Velocity of loaded car
Simplifying the equation and solving for the velocity of the loaded car:
Velocity of loaded car = 3888 kg·m/s / 10000 kg ≈ 0.3888 m/s
Therefore, the speed of the loaded coal car is approximately 0.3888 meters per second.
To find the speed of the loaded coal car, we can use the principle of conservation of momentum. According to this principle, the total momentum before and after the loading should be the same.
Momentum is calculated by multiplying mass and velocity. Therefore, the momentum of the empty car can be calculated as follows:
Momentum of empty car = Mass of empty car x Velocity of empty car
Given that the mass of the empty car is 2000 kg and the velocity is 7 km/hr, we need to convert the velocity from km/hr to m/s using the following conversion factor:
1 km/hr = (1/3.6) m/s
Now, let's calculate the momentum of the empty car:
Momentum of empty car = 2000 kg x (7 km/hr x 1/3.6)
Next, we can find the momentum of the loaded car by using the conservation of momentum principle. The total momentum after the loading should be the same as the momentum before the loading.
Since the total mass of the loaded car is 10000 kg, we need to calculate the velocity of the loaded car by dividing the momentum of the empty car by the mass of the loaded car:
Velocity of loaded car = Momentum of empty car / Mass of loaded car
Substituting the values we calculated earlier:
Velocity of loaded car = (2000 kg x (7 km/hr x 1/3.6)) / 10000 kg
Calculate this expression to find the velocity of the loaded car.