To determine how fast each cart would move, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the force applied and inversely proportional to its mass. The equation can be written as follows:
F = m * a
where F is the force, m is the mass, and a is the acceleration.
For the first cart with a mass of 100 kg:
F = 200 N and m = 100 kg
Using the equation, we can solve for acceleration (a):
200 N = 100 kg * a
a = 200 N / 100 kg
a = 2 m/s^2
For the second cart with a mass of 50 kg:
F = 200 N and m = 50 kg
Using the equation, we can solve for acceleration (a):
200 N = 50 kg * a
a = 200 N / 50 kg
a = 4 m/s^2
Therefore, based on the given conditions, the student would expect the second cart (with a mass of 50 kg) to move faster than the first cart (with a mass of 100 kg). The second cart would have an acceleration of 4 m/s^2, while the first cart would have an acceleration of 2 m/s^2.
A student wanted to investigate changing the mass of a cart that you can push. The student pushed both carts with a force of 200 Newtons. If one cart has a mass of 100kg and the other cart a mass of 50kg, what results would the student expect to see as far as how fast each cart moved in comparison with one another?
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