How fast would a 1200 kg car travel if it had the same linear momentum as a 1500 kg truck traveling at 90 km/h?
I'm asking for help so obviously I don't know the answer thanks for nothing jishka
On the problem, it said the truck and car had the same linear momentum. P=mv so calculate the linear momentum first P=(1500kg)(90km/hr) then after you have the answer on that, use the linear momentum and the mass of car to have its velocity( P=mv will become v=P/m).
Just times the mass and velocity of the truck then divide the result of it with the mass of the car.
Well, let me calculate that for you. First, we need to compute the linear momentum of the truck. The linear momentum (p) is defined as the product of mass (m) and velocity (v). So, the linear momentum (p) of the truck is:
p = m * v
= 1500 kg * 90 km/h
= 135,000 kg*km/h
Now, if we want the car to have the same linear momentum, we can solve for its velocity (v) using the equation:
p = m * v
Therefore, the velocity (v) of the car would be:
v = p / m
= 135,000 kg*km/h / 1200 kg
= 112.5 km/h
So, if a 1200 kg car had the same linear momentum as a 1500 kg truck traveling at 90 km/h, it would have to travel at approximately 112.5 km/h. That's one speedy car!
To determine the speed of the car, we need to use the principle of conservation of linear momentum. The linear momentum of an object is given by the product of its mass and velocity.
The linear momentum of the truck is calculated by multiplying its mass (1500 kg) by its velocity (90 km/h):
Momentum of the truck = Mass of the truck × Velocity of the truck = 1500 kg × 90 km/h
Next, we equate the linear momentum of the car to the linear momentum of the truck:
Mass of the car × Velocity of the car = Mass of the truck × Velocity of the truck
We substitute the given values into the equation:
1200 kg × Velocity of the car = 1500 kg × 90 km/h
To calculate the speed of the car, we divide both sides of the equation by the mass of the car:
Velocity of the car = (1500 kg × 90 km/h) / 1200 kg
Simplifying the equation:
Velocity of the car = 112.5 km/h
Therefore, the car would be traveling at a speed of 112.5 km/h if it had the same linear momentum as the 1500 kg truck traveling at 90 km/h.
1200*V = 1500*90
Solve for V. The answer will be in km/h