Calculate the amount of force that would act on Vehicle 2 if it crashes into a bus and it takes half a second for Vehicle 2 to come to a stop upon collision. a. Step 1: Calculate the acceleration of the vehicle as its velocity changes from 20 to 0 m/s in 0.01 seconds. b. Step 2: Apply Newton’s Second Law of Motion to determine the force exerted by the vehicle on the bus during the crash. c. Step 3: Apply Newton’s Third Law of Motion to determine the force exerted by the bus on the vehicle. d. Step 4: Calculate the acceleration of the bus given its mass is 2,000 kg. e. Step 5: After the collision, will the velocity be increasing, decreasing, or constant? Why? written like a 8th grader
a. Step 1: To calculate acceleration, use the formula: acceleration = (final velocity - initial velocity) / time
acceleration = (0 m/s - 20 m/s) / (0.5 s)
acceleration = -40 m/s / 0.5 s
acceleration = -80 m/s^2
b. Step 2: According to Newton's Second Law of Motion, force = mass x acceleration
Let's assume the mass of Vehicle 2 is 1,500 kg
force = 1,500 kg x -80 m/s^2
force = -120,000 N
c. Step 3: According to Newton's Third Law of Motion, the force exerted by the bus on the vehicle will be equal in magnitude but opposite in direction to the force exerted by the vehicle on the bus. Therefore, the force exerted by the bus on the vehicle will also be 120,000 N.
d. Step 4: To calculate the acceleration of the bus, use the formula: acceleration = force / mass
Let's assume the force exerted by the vehicle on the bus is 120,000 N.
acceleration = 120,000 N / 2,000 kg
acceleration = 60 m/s^2
e. Step 5: After the collision, the velocity of the bus and vehicle will be decreasing because they experience a force that causes them to slow down and come to a stop. This is due to the impact of the collision.