please show work. Thank you Topic-Circular Motion Unit 1-Motion and Forces Examp
ID: 1879143 • Letter: P
Question
please show work. Thank you
Topic-Circular Motion Unit 1-Motion and Forces Example 1: Your car travels around a circular on ramp to a highway. Your car has a speed of 65.0 mph (miles per hour) and the acceleration you experience in the car is 2.80 m/s What is the radius of the circular on ramp you are driving on? Hint: Watch Units 30 Example 2: The moon orbits at a distance of 3.84 x 10 m and has an orbital period of 27.2 days. What is the acceleration experienced by the moon in its orbit around the Earth? You can ignore additional motion (around the sun, center of the galaxy, etc.) in this problem.Explanation / Answer
1 )
given
v = 65 mph
v = 65 mph = 29.0576 m/s
a = 2.8 m/sec2
we have equation
F = ma and F = m v2 / R
m v2 / R = m a
a = v2 / R
R = v2 / a
= 29.05762 / 2.8
R = 301.5514 m
R = 302 m ( rounded off value )
2 )
given
S = 3.84 X 103 m
t = 27.2 days
= 2350080 sec
using S = u t + 1/2 a t2
S = 1/2 a t2
3.84 X 103 = 1/2 X a X 23500802
a = 3.84 X 103 / 1/2 X 23500802
a = 3.267 X 10-3 m/sec2
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