Explanation Draw the free body diagram of the system as shown in Figure 1. Here, vehicle velocity is v , velocity of the flatcar is v , displacement is s . Write the expression to calculate the change in kinetic energy of the flatcar ( Δ K E r ) . Δ K E r = 1 2 m F ( v f 2 − v i 2 ) = 1 2 W F g ( v f 2 − v i 2 ) (I) Here, the mass of the flat car is m F , the weight of the flatcar is W F , final velocity of the flatcar is v f , the initial velocity of the flatcar is v i , and the acceleration due to gravity is g . Substitute 50000 lb for W F , 32 .2 ft/s 2 for g , and 0 m/s for v i in Equation (I). Δ K E r = 1 2 × 50000 lb 32.2 ft / s 2 × ( v f 2 − 0 2 ) = 776.397 v f 2 (II) The final velocity of the flat car and the final velocity of the vehicle in the horizontal direction become equal to the point B . Write the expression to calculate the change in the kinetic energy of the vehicle ( Δ K E y ) . Δ K E y = 1 2 m v ( ( s ˙ cos 5 ° − v f ) 2 + ( s ˙ sin 5 ° ) 2 ) = 1 2 W v g ( ( s ˙ cos 5 ° − v f ) 2 + ( s ˙ sin 5 ° ) 2 ) (III) Here, mass of the vehicle is m v , the weight of the flatcar is W v , and the initial velocity of the vehicle is s ˙ . Substitute 15000 lb for W V and 32 .2 ft/s 2 for g in Equation (III). Δ K E y = 1 2 × 15000 lb 32.232.2 ft / s 2 × ( ( s ˙ cos 5 ° − v f ) 2 + ( s ˙ sin 5 ° ) 2 ) = 232.919 ( ( s ˙ cos 5 ° − v f ) 2 + ( s ˙ sin 5 ° ) 2 ) (IV) Write the expression to calculate the potential energy of the vehicle ( Δ P E y ) . Δ P E y = − m V g h = − W v s sin 5 ° (V) Here, the distance moved by the vehicle is s

8th Edition

ISBN: 9781118885840

Author: James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher: WILEY

See similar textbooks

Concept explainers

Conservation of Energy

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…

Videos

Question

Chapter 4.5, Problem 31P

To determine

The velocity of the flat car.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.5, Problem 30P

Chapter 4.5, Problem 33P

Students have asked these similar questions

Using the isothermal transformation diagram for a 1.13 wt% C steel alloy (Figure 10.39), determine the final microstructure (in terms of just the microconstituents present) of a small specimen that has been subjected to the following time-temperature treatments. In each case assume that the specimen begins at 920°C (1690°F) and that it has been held at this temperature long enough to have achieved a complete and homogeneous austenitic structure. (a) Rapidly cool to 250°C (480°F), hold for 103 s, then quench to room temperature. (b) Rapidly cool to 775°C (1430°F), hold for 500 s, then quench to room temperature. (c) Rapidly cool to 400°C (750°F), hold for 500 s, then quench to room temperature. (d) Rapidly cool to 700°C (1290°F), hold at this temperature for 105 s, then quench to room temperature. (e) Rapidly cool to 650°C (1200°F), hold at this temperature for 3 s, rapidly cool to 400°C (750°F), hold for 25 s, then quench to room temperature. (f) Rapidly cool to 350°C (660°F), hold for…

How to solve this?

A start-up company wants to convert an ICE vehicle into an electric vehicle with the following specification. Power: 250 (HP) horsepower, (note: 1HP = 745 W) Range: 300-miles Fuel economy: 33.5 kilometers per gallon of gasoline. Efficiency of the ICE: 25% Energy Conversion: One gallon of gasoline at 100% efficiency is equal to 33.5 kWh/gallon). a)Calculate the EV consumption rate as Wh/km and find the total energy of the battery pack in KWh to replace the internal combustion engine. b)Design an 8-module battery pack for this full electric vehicle without compromising its range and performance (power). Use commercially available cylindrical cells lithium cell with 20Ah capacity and 3.125 V average voltage. Cell dimensions are 5cm diameter and 10 cm height. The electric motor requires 250 V input that will be provided directly from the battery pack, Report the configuration of each module in…

Chapter 4 Solutions

Engineering Mechanics: Dynamics

Ch. 4.5 - The system of three particles has the indicated...Ch. 4.5 - Prob. 2P Ch. 4.5 - Prob. 3P Ch. 4.5 - Prob. 4P Ch. 4.5 - Prob. 5P Ch. 4.5 - Prob. 6P Ch. 4.5 - The total linear momentum of a system of five...Ch. 4.5 - Prob. 8P Ch. 4.5 - Prob. 9P Ch. 4.5 - The monkeys of Prob. 4/9 are now climbing along...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.