Suppose a green bumper car wolves with a speed of 1.5 m/s and strikes a yellow bumper car with a force of 320 N. At the moment of the collision, the yellow bumper care is moving at a speed of .8 ms directly toward the green bumper car. What force does the yellow bumper car exert on the green bumper car when they collide?
To determine the force exerted by the yellow bumper car on the green bumper car, we can use the equation
force = mass × acceleration.
However, we don't have the mass of either car. Since the speed of the green bumper car and the force it exerts on the yellow bumper car are given, we can use the force formula to determine the mass of the green bumper car:
force = mass × acceleration
320 N = mass × 1.5 m/s².
Rearranging this equation, we find:
mass = 320 N ÷ 1.5 m/s²
mass = 213.33... kg.
Now that we have the mass of the green bumper car, we can use the force formula again to find the force exerted by the yellow bumper car on it. We know that the speed of the yellow bumper car is 0.8 m/s and it moves directly toward the green bumper car. Since we are dealing with one-dimensional motion, the velocity of the yellow bumper car is considered negative.
force = mass × acceleration
force = 213.33... kg × (-0.8 m/s²)
force = -170.67... N.
Therefore, the yellow bumper car exerts a force of approximately -170.67 N on the green bumper car when they collide. The negative sign indicates that the force is in the opposite direction of the motion of the yellow bumper car.
to dumb down the answer of the bot to the final answer:
-170.67 N