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Calculate the minimum speed record at the point B in order for the real question to reach the top
Answer:
Length of the pendulum will be 3.987 m
Explanation:
We have given time period of the pendulum T = 8 sec
Acceleration due to gravity 
We have to find the length of the simple pendulum
We know that time period of the simple pendulum is given by



So length of the pendulum will be 3.987 m
Answer:
v = 6t² + t + 2, s = 2t³ + ½ t² + 2t
59 m/s, 64.5 m
Explanation:
a = 12t + 1
v = ∫ a dt
v = 6t² + t + C
At t = 0, v = 2.
2 = 6(0)² + (0) + C
2 = C
Therefore, v = 6t² + t + 2.
s = ∫ v dt
s = 2t³ + ½ t² + 2t + C
At t = 0, s = 0.
0 = 2(0)³ + ½ (0)² + 2(0) + C
0 = C
Therefore, s = 2t³ + ½ t² + 2t.
At t = 3:
v = 6(3)² + (3) + 2 = 59
s = 2(3)³ + ½ (3)² + 2(3) = 64.5
The person must stand at a radius of 0.99 m
Explanation:
In order for the person to stand on the merry go round, the force of friction acting on the person must provide the centripetal force necessary to keep the person in uniform circular motion.
Therefore, we can write:

where:
- the term on the left is the force of friction, and the term on the right is the centripetal force
is the coefficient of friction
m is the mass of the person
is the acceleration of gravity
is the angular velocity
r is the radius of the circular path
Solving the equation for r, we find the radius at which the person must be standing:

Learn more about circular motion:
brainly.com/question/2562955
brainly.com/question/6372960
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