The cars (2 cars) are pulling a vault out of the wall of a police station. What is the acceleration and velocity from rest? This question comes from the vault heist scene in the movie Fast 5. you can use what even distance and time to find it. The weight of the car and vault are below.

Question

The cars (2 cars) are pulling a vault out of the wall of a police station. What is the acceleration and velocity from rest? This question comes from the vault heist scene in the movie Fast 5. you can use what even distance and time to find it. The weight of the car and vault are below.

time = 15s
Vault ≈ 74,750 lb ≈ 33,903.03 kg
Car ≈ 1900 kg
Money in vault ≈ 4,900 kg
Estimate coefficient (tires & concrete) ≈ 1
Estimate coefficient (steel & vault) ≈ 0.57

Answer 1

2 cars pulling together on level surface?

Mass of cars = 3800 kg
weight of cars = 3800*9.81 = 37278 N
so max friction force of tires = 37,278 N

mass of full vault =38803 kg
weight of full vault = 380,657 N
max retarding friction = .57*380657
= 216,974 N

In other words, based on what you have told me, no way the cars can accelerate the vault.

Answer 2

Thanks Damon!!!! you're the best!!!!

Answer 3

To find the acceleration and velocity of the cars pulling the vault, we can use Newton's second law of motion, which states that the force applied to an object is equal to its mass multiplied by its acceleration (F = ma).

First, let's find the force required to pull the vault. Since we have two cars pulling the vault, the force will be the sum of the forces each car exerts.

Force = (Weight of the vault + Weight of the money) * Coefficient (steel & vault)
= (33,903.03 kg + 4,900 kg) * 0.57
= 22,763.2 N

Next, we need to calculate the total mass being accelerated, which is the sum of the car's mass and the vault's mass.

Total mass = Mass of the car + Mass of the vault + Mass of the money
= 1900 kg + 33,903.03 kg + 4,900 kg
= 40,703.03 kg

Now, we can find the acceleration using Newton's second law.

Force = mass * acceleration
22,763.2 N = 40,703.03 kg * acceleration
acceleration ≈ 0.559 m/s²

So, the acceleration of the cars pulling the vault is approximately 0.559 m/s².

To find the velocity, we need to use the equation of motion: v = u + at, where v is the final velocity, u is the initial velocity (which is 0 in this case since the cars start from rest), a is the acceleration, and t is the time.

Using the given time of 15 seconds and the calculated acceleration of 0.559 m/s²:

v = 0 + (0.559 m/s²) * 15s
v ≈ 8.385 m/s

Therefore, the velocity of the cars pulling the vault from rest is approximately 8.385 m/s.