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:

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Answer: a) work done = 3946429.5 J
b) work done = 943.22 nutritional calories
Explanation:
Answer:
P₂ = 375 kPa.
Explanation:
Given that,
Initial volume, V₁ = 3 m³
Initial pressure, P₁ = 150 kPa
Final volume, V₂ = 1.2 m³
We need to find the final pressure.
At constant temperature,

So, the new pressure is 375 kPa.
Ep=mgh
In your case it's Ep = 2*9,8*1=19,6 J
The magnitude of the force on the left-hand pole of the thin flexible gold chain of uniform linear density with a mass of 17.1 and, hangs between two 30.0 cm long vertical sticks, which are a distance of 30.0 cm apart will be, 0.167N.
To find the correct answer, we have to know more about the Basic forces that acts upon a body.
<h3>What is force and which are the basic forces that acts upon a body?</h3>
- A push or a pull which changes or tends to change the state or rest, or motion of a body is called Force.
- Force is a polar vector as it has a point of application.
- Positive force represents repulsion and the negative force represented attraction.
- There are 3 main forces acting on a body, such as, weight mg, normal reaction N, and the Tension or pulling force.
<h3>How to solve the problem?</h3>
- We have given that, the gold chain hangs between the vertical sticks of 30cm and the horizontal distance between then is 30cm.
- From the given data, we can find the angle (in the free body diagram, it is given as θ).

- From the free body diagram given, we can write the balanced equations of total force along y direction as,

- From the free body diagram given, we can write the balanced equations of total force along x direction as,

Thus, we can conclude that, the magnitude of force on the left-hand pole will be 0.167N.
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