19. k(0.050 m) – (0.15)(0.12 kg)(9.8 m/s²) = (0.12 kg)(0.65 m/s²)

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I need help with number 19 please

**Exercises 18–19:**

You are given the equation that is used to solve a problem. For each of these:

a. Write a realistic physics problem for which this is the correct equation. Look at worked examples and end-of-chapter problems in the textbook to see what realistic physics problems are like. Be sure that the problem you write, and the answer you ask for, is consistent with the information given in the equation.

b. Draw a free-body diagram or force diagram for your problem.

c. Finish the solution of the problem.

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**18. Equations provided:**

- \( n + T - 80 \, \text{N} = 0 \)

- \( (0.60 \, \text{m}) \, T - (0.50 \, \text{m})(80 \, \text{N}) = 0 \)

**Instructions:**

- Create a problem involving forces and torques where these equations apply. Consider scenarios like balancing forces on a beam or lever.

- Include a diagram showing the forces acting on the object.

- Resolve the equations to find the unknown values, such as tension (T) or normal force (n).

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**19. Equation provided:**

\[ k(0.050 \, \text{m}) - (0.15)(0.12 \, \text{kg})(9.8 \, \text{m/s}^2) = (0.12 \, \text{kg})(0.65 \, \text{m/s}^2) \]

**Instructions:**

- Formulate a problem that involves spring constants and masses. This could relate to Hooke's Law or objects in oscillation.

- Sketch a diagram illustrating the scenario, such as a mass hanging from a spring.

- Solve the equation to determine unknown quantities, like the spring constant (k).

---

**Note on Diagrams:**

For Exercise 18, the free-body diagram should include forces such as tension, normal force, weight, and any applied forces. For Exercise 19, depict the spring force and gravitational force acting on the mass.
Transcribed Image Text:**Exercises 18–19:** You are given the equation that is used to solve a problem. For each of these: a. Write a realistic physics problem for which this is the correct equation. Look at worked examples and end-of-chapter problems in the textbook to see what realistic physics problems are like. Be sure that the problem you write, and the answer you ask for, is consistent with the information given in the equation. b. Draw a free-body diagram or force diagram for your problem. c. Finish the solution of the problem. --- **18. Equations provided:** - \( n + T - 80 \, \text{N} = 0 \) - \( (0.60 \, \text{m}) \, T - (0.50 \, \text{m})(80 \, \text{N}) = 0 \) **Instructions:** - Create a problem involving forces and torques where these equations apply. Consider scenarios like balancing forces on a beam or lever. - Include a diagram showing the forces acting on the object. - Resolve the equations to find the unknown values, such as tension (T) or normal force (n). --- **19. Equation provided:** \[ k(0.050 \, \text{m}) - (0.15)(0.12 \, \text{kg})(9.8 \, \text{m/s}^2) = (0.12 \, \text{kg})(0.65 \, \text{m/s}^2) \] **Instructions:** - Formulate a problem that involves spring constants and masses. This could relate to Hooke's Law or objects in oscillation. - Sketch a diagram illustrating the scenario, such as a mass hanging from a spring. - Solve the equation to determine unknown quantities, like the spring constant (k). --- **Note on Diagrams:** For Exercise 18, the free-body diagram should include forces such as tension, normal force, weight, and any applied forces. For Exercise 19, depict the spring force and gravitational force acting on the mass.
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