A 4,000 kg truck and a 2,000 kg car are both traveling at 10 m/s when they hit a wall. Which vehicle has more momentum just before striking the wall? What is the ratio of their momenta?
M1 = 4000kg, V1 = 10 m/s.
M2 = 2000kg, V2 = 10 m/s.
M1*V1 = 4000 * 10 = 40,000 kg-m/s.
M2*V2 = 2,000 * 10 = 20,000 kg-m/s.
Ratio = 40,000/20,000 = 2/1.
Well, both the truck and the car are traveling at the same velocity before hitting the wall. But when it comes to momentum, it's all about mass. Since the truck has a mass of 4,000 kg and the car has a mass of 2,000 kg, the truck has more momentum.
Now, let's calculate the ratio of their momenta. The momentum of an object is given by the formula momentum = mass × velocity. So, the momentum of the truck is 4,000 kg × 10 m/s = 40,000 kg·m/s, and the momentum of the car is 2,000 kg × 10 m/s = 20,000 kg·m/s.
Therefore, the ratio of their momenta is 40,000 kg·m/s : 20,000 kg·m/s, which simplifies to 2:1. In other words, the truck has twice the momentum of the car just before striking the wall. And you know what they say, "Go big or go home!"
The momentum of an object is calculated by multiplying its mass by its velocity. Therefore, to determine which vehicle has more momentum before hitting the wall, we need to calculate the momentum of each vehicle.
For the truck:
Momentum = mass * velocity
Momentum = 4,000 kg * 10 m/s
Momentum = 40,000 kg·m/s
For the car:
Momentum = mass * velocity
Momentum = 2,000 kg * 10 m/s
Momentum = 20,000 kg·m/s
Comparing the two values, we can see that the truck has more momentum just before striking the wall.
To find the ratio of their momenta, we divide the momentum of the truck by the momentum of the car:
Ratio = Truck's momentum / Car's momentum
Ratio = 40,000 kg·m/s / 20,000 kg·m/s
Ratio = 2
Therefore, the ratio of their momenta is 2:1, meaning the truck has twice the amount of momentum compared to the car.
The momentum of an object is defined as the product of its mass and its velocity. To find which vehicle has more momentum just before striking the wall, we need to calculate the momentum for each vehicle.
The formula for momentum is:
Momentum = mass * velocity
For the truck:
Mass of the truck = 4,000 kg
Velocity of the truck = 10 m/s
Momentum of the truck = 4,000 kg * 10 m/s = 40,000 kg·m/s
For the car:
Mass of the car = 2,000 kg
Velocity of the car = 10 m/s
Momentum of the car = 2,000 kg * 10 m/s = 20,000 kg·m/s
Therefore, the truck has more momentum than the car just before striking the wall.
To find the ratio of their momenta, we divide the momentum of the truck by the momentum of the car:
Ratio of momenta = Momentum of truck / Momentum of car
Ratio of momenta = 40,000 kg·m/s / 20,000 kg·m/s = 2
So, the ratio of the truck's momentum to the car's momentum is 2.