Find Acceleration and velocity of vault or car(from rest). This is info from the movie Fast 5(Vault Heist).
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
I have not a clue what the problem is. What is the relationship of the vault to the car?
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.
net force=mass*acceleration
Now the issue is what is net force: Net force=pulling force-friction
friction is easy to figure (m*mu*g)
so exactly what is the pulling force? Not given. Not known.
To find the acceleration and velocity of the car during the vault heist scene in Fast 5, we need to use the concept of Newton's second law of motion. This law states that the force acting on an object is equal to its mass multiplied by its acceleration: F = m * a, where F is the force, m is the mass, and a is the acceleration.
Let's break down the problem step by step:
1. Calculate the total force acting on the car:
The force acting on the car can be calculated by summing up the forces exerted by the tires on the concrete and the force exerted by the steel vault. The coefficient of friction between the tires and the concrete is estimated to be 1, and the coefficient of friction between the steel vault and the car is estimated to be 0.57. The total force can be calculated using the formula: Total Force = μ * m * g, where μ is the coefficient of friction, m is the mass, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
For the tires and concrete:
Force1 = μ1 * m1 * g
For the steel vault:
Force2 = μ2 * m2 * g
2. Calculate the net force:
The net force acting on the car is the difference between the forces exerted by the tires on the concrete and the force exerted by the steel vault. Net Force = Force1 - Force2.
3. Calculate the acceleration:
Once we have the net force, we can use Newton's second law of motion to find the acceleration of the car: a = F_net / m_car, where F_net is the net force and m_car is the mass of the car.
4. Calculate the velocity:
To find the velocity, we need to multiply the acceleration by the time travelled. Velocity = a * t, where a is the acceleration and t is the time.
Let's now calculate the acceleration and velocity:
1. Calculate the total force:
For the tires and concrete:
Force1 = μ1 * m1 * g
= 1 * 1900 kg * 9.8 m/s^2
= 18,620 N
For the steel vault:
Force2 = μ2 * m2 * g
= 0.57 * 33,903.03 kg * 9.8 m/s^2
= 183,602.01 N
2. Calculate the net force:
Net Force = Force1 - Force2
= 18,620 N - 183,602.01 N
= -164,981.01 N (negative because the direction is opposite to the applied force)
3. Calculate the acceleration:
a = F_net / m_car
= -164,981.01 N / 1900 kg
= -86.83 m/s^2
4. Calculate the velocity:
Velocity = a * t
= -86.83 m/s^2 * 15 s
= -1,302.45 m/s
The negative value for acceleration and velocity indicates that the car is decelerating during the vault heist, likely due to the heavy mass of the vault.