Physics, 26.09.2019 18:00 deshundradenton59

An explosion breaks a 26.0-kg object into three parts. the object is initially moving at a velocity of 30.0 m/s due west. part (1) has a mass m 1 = 4.90-kg and a velocity of 58.0 m/s due west. part (2) has a mass m 2 = 6.20-kg and a velocity of 72.0 m/s due south. what is the magnitude of the velocity of part (3)?

Answers: 3

Show answers

Answers

Answer from: beverly8075

The magnitude of the velocity of part 3 is 46.60 m/s

Explanation:

We can solve this problem using conservation of linear momentum.

As there are no external forces in the horizontal direction, we know

$\frac{\vec{p}_{hor}}{dt}= \vec{F}_{hor}=0$

$\vec{p}_{hor}=const$

So, the horizontal linear momentum is conserved.

Using the unit vector $\hat{i}$ pointing west and the unit vector $\hat{j}$ pointing south, the initial momentum is

$\vec{p}_i=m \ \vec{v}_i = 26 \kg \ 30 \frac{m}{s} \hat{i}= 780 \frac{kg \ m}{s} \hat{i}$

and the final momentum is

$\vec{p}_f=m_1 \ \vec{v}_1 + m_2 \ \vec{v}_2+m_3 \ \vec{v}_3$

with velocities:

$\vec{v}_1 = 58 \frac{m}{s} \hat{i}$

$\vec{v}_1 = 72 \frac{m}{s} \hat{j}$

And, as the total mass is :

$m_{total} = m_1 + m_2 + m_3$

so, the third mass is :

$m_3 = m_{total} - m_1 - m_2$

$m_3 = 26 \ kg - 4.90 \ kg - 6.20 \ kg$

$m_3 = 14.90 \ kg$

$\vec{p}_f=4.90 \ kg \ 58 \frac{m}{s} \hat{i} + 6.20 \ kg \ 72 \frac{m}{s} \hat{j} + 14.90 \ kg \ \vec{v}_3$

$\vec{p}_f=248.20 \frac{kg \ m}{s} \hat{i} + 446.40 \frac{kg \ m}{s} \hat{j} + 14.90 \ kg \ \vec{v}_3$

but this must be equal to the initial momentum

$780 \frac{kg \ m}{s} \hat{i}=248.20 \frac{kg \ m}{s} \hat{i} + 446.40 \frac{kg \ m}{s} \hat{j} + 14.90 \ kg \ \vec{v}_3$

so:

$14.90 \ kg \ \vec{v}_3 = 780 \frac{kg \ m}{s} \hat{i}-248.20 \frac{kg \ m}{s} \hat{i} - 446.40 \frac{kg \ m}{s} \hat{j}$

$14.90 \ kg \ \vec{v}_3 = 531.8 \frac{kg \ m}{s} \hat{i} - 446.40 \frac{kg \ m}{s} \hat{j}$

$\vec{v}_3 = \frac{ 531.8 \frac{kg \ m}{s} \hat{i} - 446.40 \frac{kg \ m}{s} \hat{j} }{14.90 \ kg }$

$\vec{v}_3 = 35.69 \frac{ m}{s} \hat{i} - 29.97 \frac{ m}{s} \hat{j}$

To find the magnitude, we just need to use the Pythagorean theorem

$|\vec{v}_3| = \sqrt{ (v_{3_x} )^2 + (v_{3_y} )^2 }$

$|\vec{v}_3| = \sqrt{ (35.69 \frac{ m}{s} )^2 + (29.97 \frac{ m}{s} )^2 }$

$|\vec{v}_3| = 46.60 \frac{ m}{s} }$

Answer from: Quest

elly's long hair:

a. if the salon only takes cash, then this isn't the problem. it doesn't matter how much she has in her checking account. she can't get a haircut until she has the cash.

b. if she has overdraft protection, then there's no problem. she can go ahead and write a check that her account can't cover, then sometime later, pay the bank some outrageous usury for loaning her a few bucks for a few days, but with beautiful hair.

c. if elly has some principles, and doesn't want to write a bad check, then now she has a problem. her desire for the new hairstyle is in conflict with her honesty and integrity.

d. if the bank will not process a check she writes, then even if she had a million $$ in her account, she couldn't use any of it. the amount she has in her account is not the problem. and if i may suggest, she might as well close her checking account, and put the money where it'll work for her. it's not doing her a bit of good in a checking account, since she can't write any checks.

justin can't pay the full balance:

a. he can't even handle the credit limit he has now. under no circumstances should he ask for a higher limit.

b. he can ask for the grace period to be extended. but that's no solution, the bank will almost certainly refuse anyway, and there are much better options. he knew the rules of his credit card when he started using it.

c. he definitely should pay the interest on the balance, plus as much of the balance as he can cover at the same time.

d. he definitely should pay the minimum otherwise they could shut down his card. he should also pay as much more as he possibly can. he should also remember the awkward situation he's in, stop buying stuff on credit that he can't afford, and avoid adding any more debt.

i'd say that justin's best best option isn't on this list of choices. what he has to do: pay as much as he can at least the minimum payment plus as much more as he can and then avoid adding more debt.

Answer from: Quest

it breaks and dirupture other materials and other sencews from the bottom

Another question on Physics

Physics, 21.06.2019 17:20

You have been called to testify as an expert witness in a trial involving a head-on collision. car a weighs 1515 lb and was traveling eastward. car b weighs 1125 lb and was traveling westward at 44.0 mph. the cars locked bumpers and slid eastward with their wheels locked for 22.5 ft before stopping. you have measured the coefficient of kinetic friction between the tires and the pavement to be 0.750 . how fast (in miles per hour) was car a traveling just before the collision? (this problem uses english units because they would be used in a u.s. legal proceeding.)

Answers: 3

Answer

Physics, 21.06.2019 17:50

Which of the following represents an upside-down image?

Answers: 2

Answer

Physics, 22.06.2019 01:30

Use the frequency histogram to complete the following parts. â€‹(a) identify the class with theâ€‹ greatest, and the class with theâ€‹ least, relative frequency. â€‹(b) estimate the greatest and least relative frequencies. â€‹(c) describe any patterns with the data. female fibula lengths 30.5 31.5 32.5 33.5 34.5 35.5 36.5 37.5 38.5 39.5 0 0.05 0.1 0.15 0.2 0.25 length (in centimeters) relative frequency a histogram titled "female fibula lengths" has a horizontal axis labeled "length in centimeters" from 30.5 to 39.5 in increments of 1 and a vertical axis labeled "relative frequency" from 0 to 0.25 in increments of 0.05. the histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. the approximate heights of the vertical bars are listed as follows, where the label is listed first and the approximate height is listed second: 30.5, 0.02; 31.5, 0.04; 32.5, 0.05; 33.5, 0.13; 34.5, 0.22; 35.5, 0.25; 36.5, 0.13; 37.5, 0.06; 38.5, 0.09; 39.5, 0.01. â€‹(a) the class with the greatest relative frequency is nothing to nothing centimeters. â€‹(type integers or decimals. do not round. use ascendingâ€‹ order.)

Answers: 3

Answer

Physics, 22.06.2019 04:00

When the force acting on an object points at least partially in the direction of the motion the work done is considered to be negative

Answers: 2

Answer

You know the right answer?

An explosion breaks a 26.0-kg object into three parts. the object is initially moving at a velocity...

Questions