Note: Make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. There are two particles (1 and 2) that are moving around in space. The force that particle 2 exerts on 1 is given by: Fa(t) = F,e-(t/T) i+ F, sin(2at/T) ) Where the parameters have the values: F, = 15.3 N, F, = 96 N, T = 72 s. We will consider a time interval that begins at t = 0 s and ends at tę = 148 s.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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**Note:** Make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. There are two particles (1 and 2) that are moving around in space. The force that particle 2 exerts on 1 is given by:

\[
\vec{F}_{21}(t) = F_{x} e^{-{t}/{T}} \hat{i} + F_{y} \sin(2\pi t/T) \hat{j}
\]

Where the parameters have the values: \( F_{x} = 15.3 \, \text{N}, \, F_{y} = 96 \, \text{N}, \, T = 72 \, \text{s} \).

We will consider a time interval that begins at \( t_i = 0 \, \text{s} \) and ends at \( t_f = 148 \, \text{s} \).
Transcribed Image Text:**Note:** Make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. There are two particles (1 and 2) that are moving around in space. The force that particle 2 exerts on 1 is given by: \[ \vec{F}_{21}(t) = F_{x} e^{-{t}/{T}} \hat{i} + F_{y} \sin(2\pi t/T) \hat{j} \] Where the parameters have the values: \( F_{x} = 15.3 \, \text{N}, \, F_{y} = 96 \, \text{N}, \, T = 72 \, \text{s} \). We will consider a time interval that begins at \( t_i = 0 \, \text{s} \) and ends at \( t_f = 148 \, \text{s} \).
## x Displacement of Particle 1

**Question:**
What is the x displacement for particle 1?

**Help:**
- Click here for a hint

**Input Box:**
- Δx₁ = [_______]

**Additional Hints:**
- Hint:
- Hint:
- Hint:
- Hint:
- Hint:

**Instruction:**
Start with Newton's Second Law. Use it to determine a function for the acceleration of particle 1.

---

## y Displacement of Particle 1

**Question:**
What is the y displacement for particle 1?

**Help:**
- Click here for a hint

**Input Box:**
- Δy₁ = [_______]
Transcribed Image Text:## x Displacement of Particle 1 **Question:** What is the x displacement for particle 1? **Help:** - Click here for a hint **Input Box:** - Δx₁ = [_______] **Additional Hints:** - Hint: - Hint: - Hint: - Hint: - Hint: **Instruction:** Start with Newton's Second Law. Use it to determine a function for the acceleration of particle 1. --- ## y Displacement of Particle 1 **Question:** What is the y displacement for particle 1? **Help:** - Click here for a hint **Input Box:** - Δy₁ = [_______]
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