Vehicle 3 Mass = 2,000 kg Velocity = 15 m/s
Calculate the amount of force that would act on Vehicle 3 if it crashes into a wall and it takes half a second for Vehicle 3 to come to a stop upon collision. a. Step 1: Calculate the acceleration of the vehicle as its velocity changes from 15 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 wall during the crash. c. Step 3: Apply Newton’s Third Law of Motion to determine the force exerted by the wall 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?
a. To calculate the acceleration of the vehicle, we can use the formula:
acceleration = (final velocity - initial velocity) / time
acceleration = (0 m/s - 15 m/s) / 0.5 s
acceleration = -30 m/s^2
b. To determine the force exerted by the vehicle on the wall during the crash, we can use Newton's Second Law of Motion:
force = mass x acceleration
force = 2,000 kg x -30 m/s^2
force = -60,000 N
c. According to Newton's Third Law of Motion, the force exerted by the wall on the vehicle will be equal in magnitude but opposite in direction to the force exerted by the vehicle on the wall. Therefore, the force exerted by the wall on the vehicle will also be 60,000 N, but in the opposite direction.
d. The acceleration of the vehicle after the collision will still be -30 m/s^2, as long as no external forces are acting on it.
e. The velocity after the collision will be 0 m/s, as the vehicle has come to a stop. The velocity will be constant at 0 m/s as long as no additional forces act on the vehicle.