Analyze 1. What happened to the time it took for the marble to reach the table (t) as the angle of incline increased? 2. What is
the relationship between the acceleration of the marble (a) and the time it takes the marble to reach the table (t)? Draw Conclusions 1. According to your graph, what would be the acceleration of the marble at 90°? 2. Given what you know about the acceleration of Earth's gravity (g = 9.8 m/s2), is this number accurate? If not, explain why you think it is not accurate. Explore Further 1. What factors might affect the accuracy of this experiment? Describe one way you could improve the experiment's design. List any equipment you might use, and explain how you would use it. 2. If the acceleration of gravity is 9.8 m/s2, then that means an object falling at 90° will be traveling 9.8 m/s after 1 second, 19.6 m/s after 2 seconds, and so on. Use the data values in your table to sketch a rough graph of velocity versus time for the 10° angle and another for the 40° angle. What value do the slopes of these graphs represent? Which graph has the greater slope? Why?
1 answer:
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Answer:
F = 1.6*10⁴ N
Explanation:
Given distance x = 0.15m, mass m = 1200kg, velocity v = 2m/s.
Unknown: force F
Force is given by Newton's law:
(1)
The average force to stop an object from a velocity will be the same force necessary to accelerate an object from rest to the same velocity.
The distance for an object starting from rest for a constant acceleration is given by:
(2)
The velocity for an object starting from rest for a constant acceleration:
(3)
Using equation 2 and 3 to eliminate time t:
(4)
Solving equation 4 for the acceleration a:
(5)
Using equation1 to solve for the force F:
(6)
