6.Two cars with different masses travel at the same speed down a hill toward a stop sign. What will happen when both cars apply brakes at the same time to stop? *
A. The car with the smaller mass will require less force to stop than the car with the larger mass.
B. The car with the larger mass will maintain its velocity while traveling down the hill.
C. The car with the smaller mass will take longer to stop than the car with the larger mass.
D. The car with the larger mass will have less inertia than the car with the smaller mass.****
is it A?
F = m A
if they both started at the same speed and
if they both stopped at the sign
then they both had the same acceleration magnitude
one had a big m and the other a small m
so
which had the bigger F ?
Maybe it's A
Yes
To understand what will happen when both cars apply brakes to stop, we need to consider Newton's first law of motion: an object at rest or in motion will remain in that state unless acted upon by an external force.
When both cars are traveling down the hill at the same speed, they have the same initial velocity. However, the cars have different masses, and mass is a measure of an object's inertia or resistance to changes in motion.
When the brakes are applied, a force is exerted on the cars to oppose their motion. According to Newton's second law of motion, the force required to change an object's motion (stop it in this case) is directly proportional to its mass and acceleration.
Therefore, the car with the larger mass will require more force to stop because it has more inertia. In other words, it will require a greater force to overcome its resistance to changes in motion. So, option A is incorrect.
Option B states that the car with the larger mass will maintain its velocity while traveling down the hill, but this is not accurate. When the brakes are applied, both cars will decelerate and eventually come to a stop. So, option B is incorrect.
Option C states that the car with the smaller mass will take longer to stop than the car with the larger mass. This is not true based on our understanding of Newton's second law. The car with the smaller mass will have less inertia and will require less force to stop, resulting in a shorter stopping distance. So, option C is incorrect.
Option D claims that the car with the larger mass will have less inertia than the car with the smaller mass. However, this is incorrect. Inertia is a property of mass, and the car with the larger mass will have more inertia compared to the car with the smaller mass. So, the correct answer is option D.