I loaded aloog rock into asingshat. The Sline Shot works like caspring witha Spcing constant of 300n/M. I pulled Meters and released from rest, what is the Douer the Slingshot release the rock in watts, rockk is pulled back 0,4ab delners tothe rocke at Ne moment eeu

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Transcription for Educational Website:**

---

I loaded a 1000 g rock into a slingshot. The slingshot works like a spring with a spring constant of 300 N/m. The rock is pulled back 0.496 meters and released from rest. What is the power the slingshot delivers to the rock at the moment just before release in watts? 

**Power = Force x Velocity or Energy/Time?**

\[0.496 \times\]

---

**Explanation:**

In this exercise, a 1000 g rock is used to demonstrate the principles of physics involving springs and power. The slingshot operates similarly to a spring, described by Hooke's Law, which states that the force exerted by a spring is proportional to its extension. The constant of proportionality is known as the spring constant (300 N/m in this case). 

The problem asks to find the power delivered to the rock. Power can be calculated using the formula: 

\[ \text{Power} = \text{Force} \times \text{Velocity} \]

or as the rate of energy transfer:

\[ \text{Power} = \frac{\text{Energy}}{\text{Time}} \]

To solve this, one would need to calculate the force exerted by the slingshot at the point of release and understand how energy transforms into kinetic energy as the rock is released. Here, the extension of the slingshot is given as 0.496 meters, which should be used in the calculations.

The image does not contain graphs or diagrams, just text with placeholders for further calculations.
Transcribed Image Text:**Transcription for Educational Website:** --- I loaded a 1000 g rock into a slingshot. The slingshot works like a spring with a spring constant of 300 N/m. The rock is pulled back 0.496 meters and released from rest. What is the power the slingshot delivers to the rock at the moment just before release in watts? **Power = Force x Velocity or Energy/Time?** \[0.496 \times\] --- **Explanation:** In this exercise, a 1000 g rock is used to demonstrate the principles of physics involving springs and power. The slingshot operates similarly to a spring, described by Hooke's Law, which states that the force exerted by a spring is proportional to its extension. The constant of proportionality is known as the spring constant (300 N/m in this case). The problem asks to find the power delivered to the rock. Power can be calculated using the formula: \[ \text{Power} = \text{Force} \times \text{Velocity} \] or as the rate of energy transfer: \[ \text{Power} = \frac{\text{Energy}}{\text{Time}} \] To solve this, one would need to calculate the force exerted by the slingshot at the point of release and understand how energy transforms into kinetic energy as the rock is released. Here, the extension of the slingshot is given as 0.496 meters, which should be used in the calculations. The image does not contain graphs or diagrams, just text with placeholders for further calculations.
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