# 0.18 Phy1160: force and motion -- momentum, impulse, and conservation  (Page 12/14)

 Page 12 / 14

The comments in Listing 1 explain the steps involved in finding the solution.

The output produced by Listing 1 is shown in Figure 1 with the magnitude and angle of the vector that describes the change of momentum at the end.

Figure 1 . Solution results.
```Start Script The givens.weight = 10000 kg speed1 = 40 m/sangle 1 = 90 degrees speed2 = 20 m/sangle 2 = 0 degrees Computed mass.mass = 1020 kg Components of momentum vectors.P1x = 0 P1y = 40816P2x = 20408 P2y = 0Components of momentum change vectors. deltaPx = 20408deltaPy = -40816 Magnitude and angle of change vector.deltaPm = 45634 m kg/s deltaPa = -63 degreesEnd Script```

I find it interesting that the magnitude of the change in momentum is greater than the magnitude of either the initial or final momentum.

## Change in momentum due to change in speed only

What happens if the car in the previous example changes speed but doesn't change direction.

Solution:

Change the given conditions in the script in Listing 1 to those shown at the beginning of Figure 2 .

Figure 2 . Change in speed only.
```Start Script The givens.weight = 10000 kg speed1 = 40 m/sangle 1 = 90 degrees speed2 = 20 m/sangle 2 = 90 degrees Computed mass.mass = 1020 kg Components of momentum vectors.P1x = 0 P1y = 40816P2x = 0 P2y = 20408Components of momentum change vectors. deltaPx = -0deltaPy = -20408 Magnitude and angle of change vector.deltaPm = 20408 m kg/s deltaPa = 270 degreesEnd Script```

This change causes the car to slow down, but to continue in the same direction. As a result, the angle of the change in momentum is an angle thatis opposite to the direction that the car is moving. The magnitude of the change in momentum depends entirely on the initial and final speeds.

## Change in momentum due to change in direction only

What happens if the car in the previous example changes direction but doesn't change speed?

Solution:

Change the given conditions in the script in Listing 1 to those shown at the beginning of Figure 3 . This scenario simulates the car making a 10-degree turn to the right without changing speed.

Figure 3 . Change in direction only.
```Start Script The givens.weight = 10000 kg speed1 = 40 m/sangle 1 = 90 degrees speed2 = 40 m/sangle 2 = 80 degrees Computed mass.mass = 1020 kg Components of momentum vectors.P1x = 0 P1y = 40816P2x = 7088 P2y = 40196Components of momentum change vectors. deltaPx = 7088deltaPy = -620 Magnitude and angle of change vector.deltaPm = 7115 m kg/s deltaPa = -5 degreesEnd Script```

## Impulse examples

This section contains several examples involving the impulse.

## Pushing a wagon part 1

1. What is the impulse experienced by pushing a 10-kg wagon that was initially at rest, with a constant force of 2 newtons for a period of 3 seconds?

The impulse is given by the product of force and time. The mass of the wagon is superfluous for this question.

impulse = 2 N * 3 s = 6*N*s

## Pushing a wagon part 2

2. What is the acceleration of the wagon in question 1 above?

Now we do need to know the mass.

The most straightforward solution comes from the fact that we know the mass and that the force is uniform. Therefore,

can someone help me with some logarithmic and exponential equations.
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
Commplementary angles
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Sherica
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Sherica
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Tamia
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a perfect square v²+2v+_
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algebra 2 Inequalities:If equation 2 = 0 it is an open set?
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
rolling four fair dice and getting an even number an all four dice
Kristine 2*2*2=8
Differences Between Laspeyres and Paasche Indices
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
is it 3×y ?
J, combine like terms 7x-4y
im not good at math so would this help me
yes
Asali
I'm not good at math so would you help me
Samantha
what is the problem that i will help you to self with?
Asali
how do you translate this in Algebraic Expressions
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
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Porter
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Yasmin
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Cesar
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Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
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Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
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Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
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Prasenjit
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Damian
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Damian
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Azam
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At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
how did you get the value of 2000N.What calculations are needed to arrive at it
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