According to Newton's Third Law, if a hammer puts a force of 200 N on a nail, how much force does the nail put back on the hammer?
a. - 200 N
Selected :B. 200 N
c. 50 N
d. 150 N
A car engine provides 2500 N of force for a car that has a mass 1000 kg. If an engineer develops a new chassis for a car that is half as massive, what is the acceleration of the car with the new chassis?
a. 2.5 m/s^2
Selected : B. 5 m/s^2
c. 8 m/s^2
d. 1.3 m/s^2
To find the force that the nail puts back on the hammer, we can use Newton's Third Law, which states that every action has an equal and opposite reaction. In this case, the action is the hammer putting a force of 200 N on the nail. According to Newton's Third Law, the nail will put an equal and opposite force back on the hammer.
Therefore, the force that the nail puts back on the hammer is also 200 N. So, the correct answer is B. 200 N.
Now let's move on to the second question.
To calculate the acceleration of the car with the new chassis, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma).
Given that the car engine provides a force of 2500 N and the car has a mass of 1000 kg, we can determine the acceleration using the formula:
Acceleration = Force / Mass
Acceleration = 2500 N / 1000 kg
Acceleration = 2.5 m/s^2
Now, if the engineer develops a new chassis that is half as massive, the car's mass will be 1000 kg / 2 = 500 kg.
Using the same formula, we can calculate the new acceleration:
Acceleration (with new chassis) = Force / Mass (with new chassis)
Acceleration (with new chassis) = 2500 N / 500 kg
Acceleration (with new chassis) = 5 m/s^2
Hence, the correct answer is B. 5 m/s^2.