Problem 8: A watermelon is blown into three pieces by a large firecracker. Two pieces of equal mass m fly away perpendicular to one another, one in the x direction another in the y direction. Both of these pieces fly away with a speed of V = 26 m/s. The third piece has three times the mass of the other two pieces. Randomized Variables V = 26 m/s V f m 3m Otheexpertta.com PA 33% Part (a) Write an expression for the speed of the larger piece, that is in terms of only the variable V. in cos(0) sin(0) 8 HOME a 4 6 g h 1 3 i END vol BACKSPACE m DEL CLEAR Submit Hint Feedback I give up! Hints: deduction per hint. Hints remainin Feedbaci eduction per feedback. E A 33% Part (b) What is the numeric value for the speed of the larger piece, in meters per second? A 33% Part (c) At what angle does the largest piece travel with respect to the -y axis, in degrees?

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**Problem 8:**

A watermelon is blown into three pieces by a large firecracker. Two pieces of equal mass \( m \) fly away perpendicular to one another, one in the x direction and another in the y direction. Both of these pieces fly away with a speed of \( V = 26 \, \text{m/s} \). The third piece has three times the mass of the other two pieces.

**Randomized Variables**

\( V = 26 \, \text{m/s} \)

---

**Diagram Explanation:**

The diagram shows three pieces of a watermelon moving after an explosion. Two pieces of mass \( m \) are moving along the x and y axes with a speed \( V = 26 \, \text{m/s} \). The third piece with mass \( 3m \) moves in a direction opposite to the first two pieces, with velocity components \( V_f \) and angle \( \theta \).

---

**Part (a):** 

Write an expression for the speed of the larger piece, that is in terms of only the variable \( V \).

\( V_f = \)

*Input field with virtual keyboard displaying trigonometric functions and variables.*

---

**Hints:**

- Deductions apply per hint used.
- Three hints are available.

---

**Part (b):** 

What is the numeric value for the speed of the larger piece, in meters per second?

---

**Part (c):** 

At what angle does the largest piece travel with respect to the -y axis, in degrees?
Transcribed Image Text:**Problem 8:** A watermelon is blown into three pieces by a large firecracker. Two pieces of equal mass \( m \) fly away perpendicular to one another, one in the x direction and another in the y direction. Both of these pieces fly away with a speed of \( V = 26 \, \text{m/s} \). The third piece has three times the mass of the other two pieces. **Randomized Variables** \( V = 26 \, \text{m/s} \) --- **Diagram Explanation:** The diagram shows three pieces of a watermelon moving after an explosion. Two pieces of mass \( m \) are moving along the x and y axes with a speed \( V = 26 \, \text{m/s} \). The third piece with mass \( 3m \) moves in a direction opposite to the first two pieces, with velocity components \( V_f \) and angle \( \theta \). --- **Part (a):** Write an expression for the speed of the larger piece, that is in terms of only the variable \( V \). \( V_f = \) *Input field with virtual keyboard displaying trigonometric functions and variables.* --- **Hints:** - Deductions apply per hint used. - Three hints are available. --- **Part (b):** What is the numeric value for the speed of the larger piece, in meters per second? --- **Part (c):** At what angle does the largest piece travel with respect to the -y axis, in degrees?
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