Explanation Given information: The initial velocity of ball A is 15 ft / s . The angle θ is 30 ° . Calculation: Write the velocity vectors as follows: v 0 = v 0 ( cos 30 ° i − sin30 ° j ) v A = − v A j v B = v B ( sin 30 ° i − cos 30 ° j ) v C = v C ( cos 30 ° i + sin30 ° j ) According to the conservation of momentum as follows: m v 0 = m v A + m v B + m v C (1) Substitute v 0 ( cos 30 ° i − sin30 ° j ) for v 0 , − v A j for v A , v B ( sin 30 ° i − cos 30 ° j ) for v B , and v C ( cos 30 ° i + sin30 ° j ) for v C in Equation (1). m ( v 0 ( cos 30 ° i − sin30 ° j ) ) = m ( − v A j ) + m ( v B ( sin 30 ° i − cos 30 ° j ) ) + m ( v C ( cos 30 ° i + sin30 ° j ) ) Equate i, j components. v 0 cos 30 ° = v B sin 30 ° + v C cos 30 ° (2) − v 0 sin 30 ° = − v A − v B cos 30 ° + v C sin 30 ° (3) Solving (2) and (3) Equation to get v B , v C . v B = 3 2 ( v 0 − v A ) v C = 1 2 ( v 0 + v A ) Express the conservation of energy as follows: 1 2 m v 0 2 = 1 2 m v A 2 + 1 2 m v B 2 + 1 2 m v C 2 (4) Divided by 1 2 m in Equation (4). v 0 2 = v A 2 + v B 2 + v C 2 (5) Substitute 3 2 ( v 0 − v A ) for v B and 1 2 ( v 0 + v A ) for v C in Equation (5)

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9781259639272

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

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Chapter 14.2, Problem 14.41P

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aversity of Baoyion aculty of Engineering-AIMusyab Automobile Eng. Dep. Year: 2022-2023, st Course, 1st Attempt Stage: 3rd Subject: Heat Transfer I Date: 2023\01\23- Monday Time: 3 Hours Q4: A thick slab of copper initially at a uniform temperature of 20°C is suddenly exposed to radiation at one surface such that the net heat flux is maintained at a constant value of 3×105 W/m². Using the explicit finite-difference techniques with a space increment of Ax = = 75 mm, determine the temperature at the irradiated surface and at an interior point that is 150 mm from the surface after 2 min have elapsed. Q5: (12.5 M) A) A steel bar 2.5 cm square and 7.5 cm long is initially at a temperature of 250°C. It is immersed in a tank of oil maintained at 30°C. The heat-transfer coefficient is 570 W/m². C. Calculate the temperature in the center of the bar after 3 min. B) Air at 90°C and atmospheric pressure flows over a horizontal flat plate at 60 m/s. The plate is 60 cm square and is maintained at a…

University of Baby on Faculty of Engineering-AIMusyab Automobile Eng. Dep. Year: 2022-2023. 1 Course, 1" Attempt Stage 3 Subject Heat Transfer I Date: 2023 01 23- Monday Time: 3 Hours Notes: Q1: • • Answer four questions only Use Troles and Appendices A) A flat wall is exposed to an environmental temperature of 38°C. The wall is covered with a layer of insulation 2.5 cm thick whose thermal conductivity is 1.4 W/m. C, and the temperature of the wall on the inside of the insulation is 315°C. The wall loses heat to the environment by convection. Compute the value of the convection heat-transfer coefficient that must be maintained on the outer surface of the insulation to ensure that the outer-surface temperature does not exceed 41°C. B) A vertical square plate, 30 cm on a side, is maintained at 50°C and exposed to room air at 20°C. The surface emissivity is 0.8. Calculate the total heat lost by both sides of the plate. (12.5 M) Q2: An aluminum fin 1.5 mm thick is placed on a circular tube…

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Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

Ch. 14.1 - A 30-g bullet is fired with a horizontal velocity...Ch. 14.1 - Two identical 1350-kg automobiles A and B are at...Ch. 14.1 - Prob. 14.3P Ch. 14.1 - Prob. 14.4P Ch. 14.1 - Two swimmers A and B, of weight 190 lb and 125 lb,...Ch. 14.1 - A 180-lb man and a 120-lb woman stand side by side...Ch. 14.1 - A 40-Mg boxcar A is moving in a railroad...Ch. 14.1 - Two identical cars A and B are at rest on a...Ch. 14.1 - A 20-kg base satellite deploys three...Ch. 14.1 - For the satellite system of Prob. 14.9, assuming...

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