A 22 kg body is moving through space in the positive direction of an x axis with a speed of 190 m/s when, due to an internal explosion, it breaks into three parts. One part, with a mass of 13 kg, moves away from the point of explosion with a speed of 130 m/s in the positive y direction. A second part, with a mass of 2.2 kg, moves in the negative x direction with a speed of 460 m/s. What are the (a) x-component and (b) y-component of the velocity of the third part
Answer: Our notation is as follows : the mass of the original body is M=20.0kg ; its initial velocity is
ν
0
=(200m/s)
i
^
; the mass of one fragment is m
1
=10.0kg ; its velocity is
ν
1
=(100m/s)
j
^
; the mass of the second fragment is m
2
=4.0kg ; its velocity is
ν
2
=(−500m/s)
i
^
; and , the mass of the third fragment is m
3
=6.00kg . Conservation of linear momentum requires
M
ν
0
=m
1
ν
1
m
2
ν
2
+m
3
ν
3
.
The energy released in the explosion is equal to ΔK , the change in kinetic energy .
(a) Using the above momentum -conservation equation leads to
ν
3
=
m
3
M
ν
0
−m
1
ν
1
−m
2
ν
2
=
6.00kg
(20.0kg)(200m/s)
i
^
−(10.0kg)(100m/s)
j
^
−(4.0kg)(−500m/s)
i
^
=(1.00×10
3
m/s)
i
^
−(0.167×10
3
m/s)
j
^
.
The magnitude of
ν
3
is
ν
3
=
(1000m/s)
2
+(−167m/s)
2
=1.01×10
3
m/s
It points at θ=tan
−1
(−167/1000)=−9.48
∘
(that is at 9.5
∘
measured clockwise from the +x axis) .
(b) The energy released is ΔK :
ΔK=K
f
−K
i
=(
2
1
m
1
ν
1
2
+
2
1
m
2
ν
2
2
+
2
1
m
3
ν
3
2
)−
2
1
Mν
0
2
=3.23×10
6
J
Explanation:
A. Read these sentences carefully. Choose the correct form of adjectives.
1. Solomon is the
king of all.
a wise
b. wiser
c. wisest
2. Yogurt is
than candies.
a delicious b. more delicious c. most delicious
3. Mayon Volcano is the
volcano for me.
a most majestic b. more majestic
c. majestic
4 My father is an
man
a industrious b. more industrious c. most industrious
5. I was the
when my friend graduated with honors.
a happy b. happier
c. happiest
Answer:
1. wisest
2. more delicious
3. majestic (not sure about this one)
4. industrious
5. happiest
Please help me don’t send me a link cause I can’t download it
Answer:
C. 0.2 m/s west
Explanation:
Dont ever open the links that bots send you, it is a virus..Trust me, i speak from experience.......
How are fission and fusion similar?
A. A small fraction of the reactant mass is converted into small amounts of energy.
B. A large fraction of the reactant mass is converted into small amounts of energy.
C. A large fraction of the reactant mass is converted into large amounts of energy.
D. A small fraction of the reactant mass is converted to large amounts of energy.
Answer:
C
Explanation:
Fusion and fission are similar in that they both release large amounts of energy. Nuclear fusion is a process in which two nuclei join to form a larger nucleus. Nuclear fission is a process in which a nucleus splits into two smaller nuclei.
How do you change an object's motion?
How long will it take to travel 150km at an average speed of 40 km/h
Answer:
6,000 minutes
Explanation:
To calculate distance u multiply speed and time or speed and rate
give to examples of electrical energy being transformed into light?
Answer:
A lightbulb is connected to an outlet that has a source of electricity. The electrical energy is converted into light energy to allow the bulb to glow.
Explanation: Lightning is a discharge of static electricity. The lightning bolt lights up the sky.
Four landing sites are proposed for a lander. Data about the sites are listed in the table. A 3 column table with 4 rows. The first column is labeled landing site with entries W, X, Y, Z. The second column is labeled height above surface in meters with entries 32, 16, 35, 12. The last column is labeled acceleration due to gravity in meters per second squared with entries 1. 6, 3. 7, 1. 6, 3. 7. At which landing site would the lander have the greatest amount of gravitational potential energy? W X Y Z.
Answer:
its B just finished
Explanation:
Answer:
The answer above is correct! The correct option is B.
Explanation:
Just took the review on edge :)
Hope this helped - brainliest would be appreciated!
Have a great day everyone :D
if the amplitude of a sound wave is tripled, the intensity will:
Answer:
Increase 9 times
Explanation:
A sample of polonium-210 was left for 414 days.
BA
After this time it had a mass of 1.45 x 10^-4 g
The half-life of polonium-210 is 138 days.
Calculate the initial mass of the sample
Answer:
PO(1) = PO(0) / 2 1 refers to 1 half life of PO(0)
PO(2) = PO(1) / 2 = P(0) / 4 amount of PO left after 2 half-lives
PO(3) = PO(2) / 2 = PO(0) / 8 amount of PO left after 3 half-lives
414 da / 138 da = 3 3 half-lives pass in 414 da
PO(0) = 8 PO(3) = 8 * 1.45E-4 g = 1.16E-3 g = .00116 g after 414 days
List examples of how the Bill of Rights protects you:
.
.
.
.
.
guaranteeing freedom of speech, press, assembly, and exercise of religion
Does the volume of a gas affect the rate of diffusion in a porous material
Answer:
No
Explanation:
The rate of diffusion defines the gas that passes through some area over the course of time.
A SMART car can accelerate from rest to a speed of 28 m/s in 20s. What distance does it travel in this time?
Can anyone tell the answer
2. What is the period of 350 waves passing a point in 5 seconds?
Answer:
IF SHE BREATHS SHES A T.H.OT
Explanation:
Pls dont hate me its meme k ,_.
Trên một sợi dây đàn hồi dài 1,2 m hai đầu cố định đang có sóng dừng Biết sóng truyền trên dây có tần số 100 Hz và tốc độ 60 m trên giây số nút sóng trên dây là
Answer:english please
Explanation:
1 Which requires more work, lifting a 10kg sack of
coal or lifting a 15kg bag of feathers?
4. A force of 50 Newtons is applied to a mass resulting in an acceleration of 8 m/s2. What force would need to be applied to this mass to cause an acceleration of 25 m/s??
Answer:
125N
Explanation:
force =mass×acceleration
50 =mass×8m/s2
mass=6.25kg
compared to ultraviolet waves, the wavelength of infrared waves is
Answer:
Visible spectrum is considered to be:
4000-7000 Angstroms
400 -700 Microns
Ultraviolet is <400 microns causes sunburn, cellular damage
Infrared >700 microns -heating, heat lamps, etc
if an astronaut has a mass of 80kg on earth, what is their mass on the moon?
Answer:
130 N basically
Explanation:
where would you look for the youngest stars in the milky way galaxy?
Answer:
at the center of the galaxy
Explanation:
as there r more new born stars found
Hi can u help with my hw
Answer:
Journey A average speed is 19.86 meters per second
Journey B average speed is 13.68 meters per second
Explanation:
The average speed is defined as the distance divided by the time, so that's what we have to do. But first, let's convert the time in seconds and the distance in meters, because we have to answer in meters per second:
Journey A:
2 hours = 120 minutes. Each minute have 60 seconds, so 120•60= 7200 seconds.
143 km = 143000 meters
143000/7200 = 19.86 m/s
Journey B:
3 hours = 180 minutes + 15 minutes = 195 minutes
195•60 = 11700 seconds
160 km = 160000 meters
160000/11700 = 13.68 m/s
What force would be required to accelerate a 1,100 kg car to 0. 5 m/s2? N.
Answer:
550 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question
mass = 1100 kg
acceleration = 0.5 m/s²
We have
force = 1100 × 0.5 = 550
We have the final answer as
550 NHope this helps you
Answer:
If your filling in the blank on edge then its 550
Explanation:
how much heat is needed to warm .052kg of gold from 24 degrees celsius to 120 degreees celsius
Explanation:
i need answers to this problem
Composition varies in the asteroid belt. Inner-belt asteroids tend to be rich in ____. Outer-belt asteroids tend to be rich in ____.
Inner-belt asteroids tend to be rich in SILICATE, whereas outer-belt asteroids tend to be rich in CARBON. An asteroid is a rocky object (much smaller than a planet), which orbits around the Sun.
The asteroids are composed of different elements (e.g., carbon, nitrogen, hydrogen, oxygen, silicate, etc).
The asteroid belt is a region in the Solar System, located between the orbits of Mars and Jupiter.
The size of the asteroids localized in the asteroid belt range from a few meters to almost 1000 kilometers (km) wide.
Approximately half mass of the asteroid belt is composed of only four asteroids (i.e., Ceres, Vesta, Pallas, and Hygiea).
Learn more in:
https://brainly.com/question/486164
Rory uses a force of 25 N to lift her grocery bag while doing 50 J of work. How far did she lift the
grocery bag?
Answer:
[tex]W=Fd \\ 50 = 25d \\ d = \frac{50}{25} \\ \color{yellow} \boxed{d = 2m}[/tex]
Calculate the relative molecular of calcium carbonate
* as following method*
Answer:
100.22
Explanation:
Have a great day!
The drone can fly for 25 minutes before the battery needs recharging. the power output of the battery is 65.0 watts. calculate the maximum energy stored by the battery
help please!! needed asap!!
Answer:
stored Energy = Power x time = 65 x 25x 60 = 105.6 Kjoules
How can you find a springs constant for the F=-Kx formula?
Answer:
As per the Hooke's Law, if spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length. The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. F is the force and x is the change in spring's length.
1. A stone is thrown vertically upward with velocity of 15 m/s at the same time, 10 m vertically above a second stone is allowed to fall. After what time and at what height do they collide (take g = 10 ms^-2)
Let the ball at the ground be A and that at the top be B.
Assume that you see the motion of A while sitting at B.
You(B) are obviously at rest w.r.t. yourselves. However you(B) and A have the same acceleration in the same direction. Thus acceleration of A w.r.t. you(B) is 0.
Thus, to you, it will appear as if A is travelling towards you with an uniform speed of 20m/s.
Dividing the distance 20m with that speed, we get that A reaches you(B) in 1s.
Now, you have considered these motions and time by assuming you were stationed at B. However, the time taken for A to meet B shouldn't be dependent on which reference frame you assume. Thus, time taken for A and B to collide is 1s.
Since B falls freely, he covers a distance of 1/2(g)(1²)=5 (assuming g = 10m/s²)
Thus, they meet at a height of (20–5)m = 15m from the ground.