Answer:
The final angular velocity is rev/s is 0.293 rev/s.
Explanation:
Given;
mass of the merry-go-round, m₁ = 120 kg
radius of the merry-go-round, r = 1.8 m
initial angular velocity, ω = 0.4 rev/s
mass of the child, m₂ = 22 kg
Apply the principle of conservation angular momentum to determine the final angular velocity;

Therefore, the final angular velocity is rev/s is 0.293 rev/s.
Question
A car travels 300 km in the first 3 hours of a trip. Then it hits traffic and travels only 60 km during the last hour. What is the average speed of the of the car?
300 + 60 = 360 Km (total travel)
3 + 1 = 4 hours (total time)
360 : 4 = 90
C.) 90 Km/h is your answer
<u>Statement</u><u>:</u>
A force is required to accelerate a 600 g ball from rest to 14 m/s in 0.1 s.
<u>To </u><u>find </u><u>out</u><u>:</u>
The force required to accelerate the ball.
<u>Solution</u><u>:</u>
- Mass of the ball (m) = 600 g = 0.6 Kg
- Initial velocity (u) = 0 m/s [it was at rest]
- Final velocity (v) = 14 m/s
- Time (t) = 0.1 s
- Let the acceleration be a.
- We know the equation of motion,
- v = u + at
- Therefore, putting the values in the above formula, we get
- 14 m/s = 0 m/s + a × 0.1 s
- or, 14 m/s ÷ 0.1 s = a
- or, a = 140 m/s²
- Let the force be F.
- We know, the formula : F = ma
- Putting the values in the above formula, we get
- F = 0.6 Kg × 140 m/s²
- or, F = 84 N
<u>Answer</u><u>:</u>
The force required to accelerate the ball is 84 N and this force acts along the direction of motion.
Hope you could understand.
If you have any query, feel free to ask.
The graph of the potential energy pass through zero origin, cuts across positive x-axis and negative x-axis.
<h3>Slope of the graph</h3>
The slope of the graph when the potential energy of a particle constrained in on x-axis is determined as follows;
F = -dU/dx
-dU = Fdx
dU = -Fdx
U = -∫(kx + ax³)dx
U = kx²/2 - ax⁴/4
When, x = 0, U = 0
When U = 0;

The graph of the potential energy pass through zero origin, cuts across positive x-axis and negative x-axis.
Complete question is below:
Suppose that the potential energy of a particle constrainedon x-axis and subjected to a force in the same direction, at a fuction of F(x) = -kx + ax³.
Find the functional form of the potential energy.
Learn more about potential energy here: brainly.com/question/1242059
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