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defon
3 years ago
11

Two identical2,000-kg cars travel each at 50.0 km/h in directions perpendicular to one another. The cars crash and form asingle

4,000-kg mass. Comparing the kinetic energy of the two-car system just before the crash and just after it, how much energy was lost due to the collision?
Physics
1 answer:
Firdavs [7]3 years ago
3 0

Answer:

0Joules

Explanation:

Kinetic energy is the energy possessed by a body by virtue of its motion. It is expressed mathematically as;

K.E = 1/2mv² where

m is the mass of the object

v is the velocity

Given mass of the cars = 2000kg

Velocity = 50km/hr = 50000m/3600s

Velocity = 13.89m/s

Kinetic energy of the 2000kg identical cars traveling at a speed of 13.89m/s before collision is given as;

K.E = 1/2 × 2000 × 13.89²

K.E = 192,932.1Joules

Their individual kinetic energy before collision is 192,932.1Joules

Their total kinetic energy before collision will be 192,932.1+192,932.1

= 385,864.2Joules

To get the kinetic energy of the bodies after collision, we must first know their common velocity after collision.

According to the conservation law which states that 'the sum of momentum of bodies before collision is equal to the sum of momentum of the bodies after collision.

Momentum = mass × velocity

Before collision, momentum of each bodies will be;

2000 × 13.89

= 27,780kgm/s

After collision their momentum will be;

(2000+2000)v

= 4000v kgm/s²

Using the law to calculate v;

27780+27780 = 4000v

55,560 = 4000v

v = 55,560/4000

v = 13.89m/s

Their KE after collision will then be;

KE = 1/2(4000)×13.89²

KE(after) = 385,864.2Joules

Energy lost due to collision will be KE(before collision) - KE(after collision)

Energy lost due to collision = 385,864.2-385,864.2

Energy lost after collision is 0Joules which shows that no energy was lost after collision.

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2 years ago
The ammonia molecule (NH3) has a dipole moment of 5.0×10?30C?m. Ammonia molecules in the gas phase are placed in a uniform elect
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Question (continuation)

(a) What is the change in electric potential energy when the dipole moment of a molecule changes its orientation with respect to E S from parallel to perpendicular?

(b) At what absolute temperature T is the average translational kinetic energy 3/2kT of a molecule equal to the change in potential energy calculated in part (a)?

Answer:

a. 9.0 * 10^-24 Joules

b. 0.44K

Explanation:

Given

Let p = dipole moment = 5.0 * 10^-30 Cm

Let E = Magnitude = 1.8 * 10^6 N/m

a.

The charge in electric potential = Final Charge - Initial Charge

Initial Charge = Potential Energy

Initial Energy = -pE cosФ where Ф = 0

So, initial Energy = - 5.0 * 10^-30 * 1.8 * 10^6

Initial Energy = -9 * 10^-24 Joules

Final Energy = 0

Charge = 0 - (-9.0 * 10^-24)

Charge = 9.0 * 10^-24 Joules

b.

Absolute Temperature

Change in Kinetic Energy = Change in Potential Energy = 9.0 * 10^-24

Change in Kinetic Energy = 3/2kT where k is Steven-Boltzmann constant = 1.38 * 10^-23

So,

9.0 * 10^-24 = 3/2 * 1.38 * 10^-23 * T

T = (9.0 * 10^-24 * 2)/(3 * 1.38 * 10^-23)

T = (18 * 10^-24)/(4.14 * 10^-23)

T = 0.44K

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Calculate the amount of heat (in kJ) required to convert 97.6 g of water to steam at 100° C. (The molar heat of vaporization of
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Answer:

221.17 kJ

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In a physics lab experiment for the determination of moment of inertia, a team weighs an object and finds a mass of 2.15 kg. The
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Answer:

0.339 kgm²

Explanation:

We know the period of this pendulum, T = 2π√(I/mgh) where I = moment of inertia of the object about the pivot axis, m = mass of object = 2.15 kg, g = acceleration due to gravity = 9.8 m/s² and h = distance of center of mass of object from pivot point = 0.163 m.

Since T = 2π√(I/mgh), making I subject of the formula, we have

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So, Substituting the values of the variables into I, we have

I = mghT²/4π²

I = 2.15 kg × 9.8 m/s² × 0.163 m × (2.133 s)²/4π²

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Now from the parallel axis theorem, I = I' + mh² where I' = moment of inertia of object with respect to its center of mass about an axis parallel to the pivot axis

I' = I - mh²

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I' = 0.396 kgm² - 0.057 kgm²

I' = 0.339 kgm²

7 0
3 years ago
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