Galileo thought about whether acceleration should be defined as the rate of change of velocity over time or as the rate of change in velocity over distance. He chose the former, so let’s use the name “vroomosity” for the rate of change of velocity over distance. For motion of a particle on a straight line with constant acceleration, the equation v = v i + at gives its velocity v as a function of time. Similarly, for a particle’s linear motion with constant vroomosity k , the equation v = v i + kx gives the velocity as a function of the position x if the particle’s speed is v i at x = 0. (a) Find the law describing the total force acting on this object of mass m . Describe an example of such a motion or explain why it is unrealistic for (b) the possibility of k positive and (c) the possibility of k negative.
Galileo thought about whether acceleration should be defined as the rate of change of velocity over time or as the rate of change in velocity over distance. He chose the former, so let’s use the name “vroomosity” for the rate of change of velocity over distance. For motion of a particle on a straight line with constant acceleration, the equation v = v i + at gives its velocity v as a function of time. Similarly, for a particle’s linear motion with constant vroomosity k , the equation v = v i + kx gives the velocity as a function of the position x if the particle’s speed is v i at x = 0. (a) Find the law describing the total force acting on this object of mass m . Describe an example of such a motion or explain why it is unrealistic for (b) the possibility of k positive and (c) the possibility of k negative.
Solution Summary: The author explains the law that describes the total force act on the object of mass m.
Galileo thought about whether acceleration should be defined as the rate of change of velocity over time or as the rate of change in velocity over distance. He chose the former, so let’s use the name “vroomosity” for the rate of change of velocity over distance. For motion of a particle on a straight line with constant acceleration, the equation v = vi + at gives its velocity v as a function of time. Similarly, for a particle’s linear motion with constant vroomosity k, the equation v = vi + kx gives the velocity as a function of the position x if the particle’s speed is vi at x = 0. (a) Find the law describing the total force acting on this object of mass m. Describe an example of such a motion or explain why it is unrealistic for (b) the possibility of k positive and (c) the possibility of k negative.
a cubic foot of argon at 20 degrees celsius is isentropically compressed from 1 atm to 425 KPa. What is the new temperature and density?
Calculate the variance of the calculated accelerations. The free fall height was 1753 mm. The measured release and catch times were:
222.22 800.00
61.11 641.67
0.00 588.89
11.11 588.89
8.33 588.89
11.11 588.89
5.56 586.11
2.78 583.33
Give in the answer window the calculated repeated experiment variance in m/s2.
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