To determine the final velocity and direction of the car after the accident, we can use the principle of conservation of momentum.
The formula for momentum is given by:
momentum = mass × velocity
The initial momentum of the truck is:
momentum_initial = mass_truck × velocity_truck = 2000 kg × 40 m/s = 80000 kg·m/s
The impulse experienced by the truck is given by the formula:
impulse = change in momentum
impulse = momentum_final - momentum_initial
Since the impulse is 8000 N·s in the eastward direction, we can write:
8000 N·s = momentum_final - 80000 kg·m/s
Rearranging the equation to solve for momentum_final, we have:
momentum_final = 8000 N·s + 80000 kg·m/s
The final momentum of the car can be expressed in terms of its mass and velocity as:
momentum_final = mass_car × velocity_car
Given that the mass of the car is not provided, we cannot directly solve for the final velocity. Therefore, the information provided is insufficient to determine the answer.
A 2000 kg truck is traveling west with a speed of 40 meters per second when it strikes another car, creating an impulse of 8000 Newtons●seconds in the eastward direction. What is the final velocity and direction for the car after the accident? a. 33.5 m/s going east b. 39.75 m/s going west c. 27.6 m/s going west d. 36 m/s going east
1 answer
1 answer