**Projectile Motion with Breakup Analysis**A projectile of mass 2.0 kg is fired into the air at an angle of 44.0° to the horizontal with a speed of 58.0 m/s. At its highest point, the projectile breaks into three pieces with masses of 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0 kg piece falls straight down with an initial speed of 14.6 m/s, the 0.7 kg piece continues forward, and the 0.3 kg piece moves straight up.### Diagram Explanation**At Peak Before Explosion**- Initial velocity: \( \vec{v_i} = (58.0 \, \text{m/s}) \hat{i} \)- Angle of launch: 44.0°**At Peak After Explosion**- The projectile splits into three parts: - **Mass \( m_1 = 1.0 \, \text{kg} \)** - Final velocity: \( \vec{v_{1,f}} = - (14.6 \, \text{m/s}) \hat{j} \) - **Mass \( m_2 = 0.7 \, \text{kg} \)** - Final velocity: \( \vec{v_{2,f}} = (v_{2}) \hat{i} \) - **Mass \( m_3 = 0.3 \, \text{kg} \)** - Final velocity: \( \vec{v_{3,f}} = (v_{3}) \hat{j} \) ### Questions(a) Calculate the speeds (in m/s) of the 0.7 kg and 0.3 kg pieces immediately after the breakup.- \( v_2 = \) ____ m/s- \( v_3 = \) ____ m/s(b) Determine the height (in meters) the 0.3 kg piece rises from the breakup before coming to rest.- Height = ____ m(c) Find the horizontal distance (in meters) from the launch point to where the 0.7 kg piece lands.- Distance = ____ m

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A projectile of mass 2.0 kg is fired in the air at an angle of 44.0° to the horizon at a speed of 58.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0 kg part falls straight down after breakup with an Iinitlal speed of 14.6 m/s, the 0.7 kg part moves in the original forward direction, and the 0.3 kg part goes straight up.

A projectile of mass 2.0 kg is fired in the air at an angle of 44.0° to the horizon at a speed of 58.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0 kg part falls straight down after breakup with an Iinitlal speed of 14.6 m/s, the 0.7 kg part moves in the original forward direction, and the 0.3 kg part goes straight up.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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