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Naya [18.7K]
1 year ago
5

The 15-Mg tank car A and 25-Mg freight car B travel towards each other with the velocities shown. If the coefficient of restitut

ion between the bumpers is e = 0.8, determine the speed of each car just after the collision. Part A. Determine the speed of the car A just after the collision. Part B. Determine the speed of the car B just after the collision.
Engineering
1 answer:
irga5000 [103]1 year ago
6 0

The speed of the car A is 6.05 m/s and  the speed of the car B just after the collision 7.65 m/s.

Ma=15 mg , Mb=25mg

Vai=5 m/s   vbi=7 m/s

We know coeffecient of restitution

e=|Vaf-Vbf/Vai-Cbi|

0.8=|Vaf-Vbf/5-7|

Vaf-Vbf=1.6

MaVa+mbVb=MaVaf+MbVbf

15*5*25*7=15Vaf+25Vbf

3Vaf+5Vbf=50

sovleving eq 1 and 2

Vbf =6.05 m/s

Vaf=7.65 m/s

The speed of a change in an object's location in any direction. The distance traveled divided by the time required to travel that distance is the definition of speed.Due to its lack of magnitude and merely having a direction, speed is a scalar number. The average speed of an object can be determined if you know the distance traveled and the time it took. Distance times speed is how speed is calculated.

Learn more about speed here:

brainly.com/question/28224010

#SPJ4

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Thank you very much this helped a lot
Len [333]

Answer:

Your welcome i guess

Explanation:

7 0
2 years ago
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In a brief report, discuss why we need various modes of transportation. How did they evolve? Discuss
Kitty [74]

Answer:

this is confusing

Explanation:

6 0
3 years ago
Give reasons why the control of dimensional tolerances in manufacturing is important.
BARSIC [14]

Answer:

Tolerance is important for the very fact that providing proper tolerances ensures proper fittings of different parts.                                            

Explanation:

Tolerance and dimensioning is an important link between manufacturing and engineering.

Tolerance optimization leads to high cost of machined part to be produced and also provides good quality product. Whereas loose tolerance means reduction in cost but poor quality product. hence it is very important and critical to provide the right tolerance while designing a product.

                               Tolerance also influence what type of production processes to be selected by the process planners. The optimization of the tolerances during the design phase has a positive impact on the results coming out of the manufacturing processes.

                                Providing proper tolerances ensures that the parts will fit properly.

Therefore, providing proper tolerances, the engineers shares the responsibility to manufacture the parts correctly.

8 0
2 years ago
D 4.37. Assuming the availability of diodes for which vD = 0.75 V at iD = 1mA, design a circuit that utilizes four diodes connec
gregori [183]

Answer:

R = 0.5825 k ohm

Explanation:

given data

vD = 0.75 V

iD = 1mA

resistor R = 15-V

solution

we get here first vD that is

vD = \frac{3.3}{4}  

vD = 0.825

so

iD = Ise × e^{\frac{vD}{nvT}}      

n = 1

so we can say

\frac{iD2}{iD1} = e^{\frac{vD2-vD1}{nvT}}  

so it will

iD2 = iD1 × e^{\frac{vD2-vD1}{nvT}}

put here value and we get

iD2 = 1 × e^{\frac{0.825-0.75}{25}}  

iD2 = 1 × e^{3}  

iD2 = 20.086 mA

so

R will be

R = \frac{15-3.3}{ID}  

R = 0.5825 k ohm

6 0
3 years ago
The velocity of the 7.7-kg cylinder is 0.49 m/s at a certain instant. What is its speed v after dropping an additional 1.28 m? T
alex41 [277]

Answer:

the velocity of the cylinder after dropping an additional 1.28 m is 1.15 m/s

Explanation:

Using the work energy system

T_1 + U_{1-2} + T_2

The initial kinetic energy T_1 is ;

T_1 = \dfrac{1}{2}m_cv_1^2 + \dfrac{1}{2}I_o \omega^2

T_1 = \dfrac{1}{2}m_cv_1^2 + \dfrac{1}{2}(m_d \overline k^2)(\dfrac{v_1}{r_i})^2

where;

m_c = mass of the cylinder = 7.7 kg

v_1 = initial velocity of the cylinder = 0.49 m/s

I_o= moment of inertia of the drum about O

m_d =mass of the drum = 10.5 kg

r_i = radius of gyration = 0.3 m

\omega = angular velocity of the drum

T_1 = \dfrac{1}{2}(7.7)(0.49)^2 + \dfrac{1}{2}(10.5*(0.3)^2(\dfrac{0.49}{0.275})^2

T_1 = 2.426 \ J\\

The final kinetic energy is also calculated as:

T_2= \dfrac{1}{2}m_cv_2^2 + \dfrac{1}{2}(m_d \overline k^2)(\dfrac{v_2}{r_i})^2

T_2= \dfrac{1}{2}(7.7)(v_2^2)^2 + \dfrac{1}{2}(10.5*(0.3)^2(\dfrac{v_2}{0.275})^2

T_1 =10.10 v_2^2

Similarly, The workdone by all the forces on the cylinder can be expressed as:

U_{1-2} = m_cg(h) - (\dfrac{M}{r_i})h

where;

g = acceleration due to gravity

h = drop in height of the cylinder

M = frictional moment at O

U_{1-2} = 7.7*9.81*1.28 - 18.4(\dfrac{1.28}{0.275})

U_{1-2} =11.04 \ J

Finally, using the work energy application;

T_1 + U_{1-2} + T_2

2.426 + 11.04 = 10.10 v_2^2

13.466 = 10.10 v_2^2

v_2^2 = \dfrac{13.466}{10.10}

v_2^2 = 1.333

v_2 = \sqrt{1.333}

v_2 = 1.15 \ m/s

Thus, the velocity of the cylinder after dropping an additional 1.28 m is 1.15 m/s

8 0
2 years ago
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