The GRESA method is an organized approach to solving physics problems, where each letter represents a step in the solution process:

• G: Given
• R: Required
• E: Equation
• S: Solution
• A: Answer

Let's solve the problem.

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Question

What is the centripetal force of a 30 kg child at 1.0 m from the center?

Solution (using GRESA method)

1. G (Given)

• Mass of the child, $m = 30 \, \text{kg}$
• Radius of the circular path, $r = 1.0 \, \text{m}$
• Assuming the velocity is not given, we cannot directly calculate the centripetal force without velocity or angular velocity.

2. R (Required)

• Centripetal force $F_c$.

3. E (Equation)

The formula for centripetal force is: $F_c = \frac{m v^2}{r}$ where:

• $F_c$ is the centripetal force,
• $m$ is the mass,
• $v$ is the linear velocity,
• $r$ is the radius of the circular path.

4. S (Solution)

To proceed, we need either the velocity $v$ of the child or the angular velocity $\omega$ of the child (where $F_c = m \omega^2 r$).

Without these values, we cannot compute the centripetal force.

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Could you please provide the velocity or angular velocity of the child?

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Would you like further explanation on centripetal force or additional details on this problem setup?

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Related Questions

1. How is centripetal force related to velocity and radius in circular motion?
2. What role does mass play in determining centripetal force?
3. How would the centripetal force change if the radius were doubled?
4. What if we used angular velocity instead of linear velocity to find centripetal force?
5. How does the concept of centripetal force apply to real-world situations, like a car turning on a circular track?

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Tip

Remember that centripetal force is always directed towards the center of the circular path, and it keeps an object in motion along a curved path.