Answer:
the child have to exert this much amount of force radially to stay on the wheel.
Explanation:
Given:
mass of the child, 
radius of the merry-go round wheel, 
moment of inertia of the wheel, 
angular velocity of the wheel, 
Since the child is sitting on the edge of the rotating wheel the child will feel and outward throwing force called centrifugal force.
Centrifugal force is mathematically given as:


the child have to exert this much amount of force radially to stay on the wheel.
C) accretionary-wedge complex.
Explanation:
The accretionary wedge complex is a thick accumulation of sediments and small tectonic blocks formed from materials scraped off subducting oceanic lithosphere at a convergent margin.
Space between the subducting plate and the less dense plate gets filled by sediments scraped off the subducting plate and this forms a wedge like sediment called the accretionary wedge.
- The accretionary wedge is invariably made up of materials found on the ocean floor.
- Under extreme conditions, some parts of wedge transforms into metamorphic rocks.
- The wedge is made up of: pelagic sediments, ocean floor basalts e.t.c
Learn more:
Sedimentary rocks brainly.com/question/9131992
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We are given that,

We need to find
when 
The equation that relates x and
can be written as,


Differentiating each side with respect to t, we get,



Replacing the value of the velocity


The value of
could be found if we know the length of the beam. With this value the equation can be approximated to the relationship between the sides of the triangle that is being formed in order to obtain the numerical value. If this relation is known for the value of x = 6ft, the mathematical relation is obtained. I will add a numerical example (although the answer would end in the previous point) If the length of the beam was 10, then we would have to



Search light is rotating at a rate of 0.96rad/s
Answer:
The only incorrect statement is from student B
Explanation:
The planet mercury has a period of revolution of 58.7 Earth days and a rotation period around the sun of 87 days 23 ha, approximately 88 Earth days.
Let's examine student claims using these rotation periods
Student A. The time for 4 turns around the sun is
t = 4 88
t = 352 / 58.7 Earth days
In this time I make as many rotations on itself each one with a time to = 58.7 Earth days
#_rotaciones = t / to
#_rotations = 352 / 58.7
#_rotations = 6
therefore this statement is TRUE
student B. the planet rotates 6 times around the Sun
t = 6 88
t = 528 s
The number of rotations on itself is
#_rotaciones = t / to
#_rotations = 528 / 58.7
#_rotations = 9
False, turn 9 times
Student C. 8 turns around the sun
t = 8 88
t = 704 days
the number of turns on itself is
#_rotaciones = t / to
#_rotations = 704 / 58.7
#_rotations = 12
True
The only incorrect statement is from student B