1. A car slows down from 23 m/s to 14 m/s over a time period of 3 seconds. The car’s mass is 1330 kg. What is the car’s acceleration, momentum, and force.
Well, well, well, let's crunch some numbers and make this car-related question fun!
1. The car's acceleration can be calculated as the change in velocity divided by the change in time. So, let's do some math, shall we?
Change in velocity = Final velocity - Initial velocity
Change in velocity = 14 m/s - 23 m/s
Change in velocity = -9 m/s
Change in time = 3 seconds
Now, let's plug these values into the equation for acceleration:
Acceleration = Change in velocity / Change in time
Acceleration = -9 m/s / 3 s
Acceleration = -3 m/s²
So, the car's acceleration is -3 m/s². It's slowing down!
2. To find the momentum, we can use the formula:
Momentum = Mass × Velocity
Plugging in the given values:
Momentum = 1330 kg × 14 m/s
Momentum = 18620 kg·m/s
So, the car's momentum is 18620 kg·m/s.
3. Lastly, to calculate the force, we can use Newton's second law:
Force = Mass × Acceleration
Plugging in our known values:
Force = 1330 kg × -3 m/s²
Force = -3990 N
So, the force acting on the car is a whopping -3990 N. Negative means it's opposing the car's motion.
Hope that puts a smile on your face while learning about physics!