A Honda Civic and Lincoln Town Car are initially at rest on a horizontal parking lot at the edge of steep cliff. The Town Car has twice as much mass as the Civic. Equal constant forces are applied to each car and they accelerate across equal distances (ignore effects of friction.) When they reach the far end of the lot the force is suddenly removed, whereupon they sail through the air and crash on the ground below.
1.) Which has the greater acceleration?
**I think the civic car because the town car has doubled mass and when mass is doubled, the acceleration is halved so the Civic has a greater acceleration because of a smaller mass.**
2.) Which car spends more time along the surface of the lot, the faster or slower one?
**the slower car spends more time, which is the town car because it is not accelerating as fast as the civic.**
3.) Which car lands farthest horizontally from the edge of the cliff onto the ground below?
**I think the civic car lands farther because it has less mass so it will be able to go out more and it's accelerating more then the town car, which has more mass and will fall before closer to the lot then the civic!**
4.) Which car spends more time in the air from the edge of the cliff to the ground below?
**the civic car spends more time in the air because it's mass is not as great as the town cars and it takes it longer to reach terminal speed so it spends more time in the air.**
1,2,3 right.
What did Galelio prove by dropping a massive and a light ball at the same time in Pisa? I suspect terminal velocity is not a consideration here, nor friction due to air.
50
1.) Correct, the Civic has a greater acceleration because it has a smaller mass. According to Newton's second law, F = ma, where F is the force applied, m is the mass, and a is the acceleration. Since the force is constant and the mass of the Civic is smaller, it will experience a larger acceleration.
2.) Incorrect, both cars will spend the same amount of time along the surface of the lot. The time spent along the surface depends on the distance traveled and the constant force applied, not the acceleration. Therefore, both cars will spend the same amount of time along the surface.
3.) Incorrect, the car that lands farthest horizontally from the edge of the cliff will be the one with a greater acceleration. Since the Civic has a smaller mass and therefore a greater acceleration, it will travel further horizontally before hitting the ground.
4.) Incorrect, the car that spends more time in the air will be the one with a smaller acceleration. Since the Civic has a smaller mass and therefore a greater acceleration, it will reach the ground faster than the Town Car. Therefore, the Town Car will spend more time in the air.
1.) It is correct that the Civic has greater acceleration. To further explain, Newton's second law states that the acceleration of an object is directly proportional to the net force applied to it, and inversely proportional to its mass. The equation can be written as F = ma, where F is the force, m is the mass, and a is the acceleration. Since both cars experience equal forces, the car with the smaller mass (Civic) will have a greater acceleration compared to the car with double the mass (Town Car).
2.) It is correct that the slower car spends more time on the surface of the lot. To understand why, we can use the equation of motion s = ut + (1/2)at^2, where s is the distance, u is the initial velocity, a is the acceleration, and t is the time. Since both cars start from rest, their initial velocities are the same. The time it takes for each car to reach the end of the lot will depend on their respective accelerations. Since the slower car (Town Car) has a lower acceleration, it will take more time to reach the end of the lot compared to the faster car (Civic).
3.) It is incorrect to assume that the Civic car lands farther solely based on its mass. The distance a car travels horizontally after leaving the lot will depend on its initial velocity and the angle at which it is launched. Mass does not directly affect horizontal distance in this scenario. The answer would depend on other factors like the angle of launch, air resistance, and possible differences in how the forces were applied before the cars were released.
4.) It is incorrect to assume that the Civic car spends more time in the air solely based on its mass. The time a car spends in the air depends on its initial velocity and the height of the cliff. Since the mass of the car does not directly affect the time it takes to fall, it cannot be concluded that the Civic car spends more time in the air.