the momentum of 900kg car initially moving north at 10m/s increases by 10,800. calculate the final velocity of the car.
The diomensions of your momentum change must be included.
Is it 10,800 kg*m/s?
If so, the velocity increases by 10,800/900 = 12 m/s, making the new velcoity 22 m/s
Well, let me put on my mathematician wig and get this calculation rolling!
First, let's calculate the change in momentum:
Change in momentum = Mass x Change in velocity
Since the car initially moves north and then the momentum increases, the change in velocity is 10,800 m/s. We also know the mass of the car is 900 kg. So, let's plug in those values:
Change in momentum = 900 kg x 10,800 m/s
Now, let’s unleash the dragon of math to figure out the total change in momentum:
Change in momentum = 9,720,000 kg⋅m/s
But wait, we're not done yet! We still need to find the final velocity. So, buckle up for one last ride on the mathematical rollercoaster!
Momentum (final) = Mass x Velocity (final)
Substituting the values we know, the equation becomes:
9,720,000 kg⋅m/s = 900 kg x Velocity (final)
Now let's divide both sides by 900 kg to get Velocity (final) by itself:
Velocity (final) = 9,720,000 kg⋅m/s ÷ 900 kg
Calculating this out, *drumroll please*, the final velocity of the car is:
Velocity (final) ≈ 10,800 m/s
Voila! The car's final velocity is approximately 10,800 m/s. Time to put on your racing helmet and buckle up for the speed demon ahead! Just kidding, don't actually do that. Safety first, folks!
To calculate the final velocity of the car, we can use the formula for momentum:
Momentum (p) = mass (m) * velocity (v)
Given:
Initial mass of the car (m) = 900 kg
Initial velocity of the car (v) = 10 m/s
Change in momentum (Δp) = 10,800 Ns
We need to find the final velocity (v_f).
We know that the change in momentum is equal to the final momentum (p_f) minus the initial momentum (p_i):
Δp = p_f - p_i
Substituting the given values:
10,800 = (900 * v_f) - (900 * 10)
Simplifying this equation:
10,800 = 900v_f - 9,000
Rearranging the equation:
900v_f = 10,800 + 9,000
900v_f = 19,800
Dividing both sides by 900:
v_f = 19,800 / 900
v_f ≈ 22 m/s
Therefore, the final velocity of the car is approximately 22 m/s.
To calculate the final velocity of the car, we need to use the principle of conservation of momentum. This principle states that the total momentum before an event is equal to the total momentum after the event, provided there are no external forces acting on the system.
The initial momentum of the car can be calculated by multiplying its mass (m) by its initial velocity (v):
Initial momentum = m * v
Given that the mass (m) of the car is 900 kg and its initial velocity (v) is 10 m/s, we can find the initial momentum:
Initial momentum = 900 kg * 10 m/s = 9000 kg.m/s
The total momentum after the event (final momentum) is equal to the initial momentum plus the change in momentum:
Final momentum = Initial momentum + Change in momentum
The change in momentum can be calculated by subtracting the initial momentum from the increase in momentum:
Change in momentum = 10800 kg.m/s - 9000 kg.m/s = 1800 kg.m/s
So, the final momentum is:
Final momentum = 9000 kg.m/s + 1800 kg.m/s = 10800 kg.m/s
Now, we can calculate the final velocity using the formula for momentum:
Final momentum = mass (m) * final velocity (v)
10800 kg.m/s = 900 kg * final velocity (v)
To isolate the final velocity (v) in the equation, we divide both sides by the mass (900 kg):
10800 kg.m/s / 900 kg = final velocity (v)
12 m/s = final velocity (v)
Therefore, the final velocity of the car is 12 m/s.