The figure shows an overhead view of a 2.10 kg plastic rod of length 1.20 m on a table. One end of the rod is attached to the table, and the rod is free to pivot about this point without friction. A disk of mass 55.0 g slides toward the opposite end of the rod with an initial velocity of 26.5 m/s. The disk strikes the rod and sticks to it. After the collision, the rod rotates about the pivot point.
(a)What is the angular velocity, in rad/s, of the two after the collision?
(b)What is the kinetic energy, in joules, before and after the collision?
KEi
=
J
KEf
=
J
Answers
(a) The angular velocity of the system after the collision is 1.61 rad/s.
(b) The kinetic energy before collision is 19.31 J and the kinetic energy after collision is 1.45 J.
Conservation of angular momentumThe angular velocity of the system is determined by applying the principle of conservation of angular momentum.
Li = Lf
P x r = Ifωf
mv x r = Ifωf
[tex]\omega _f = \frac{mvr}{I_f} \\\\\omega _f = \frac{mvr}{\frac{1}{3}Mr^2 + mr^2 } \\\\\omega _f = \frac{mvr}{r^2(\frac{1}{3}M + m )}\\\\\omega _f = \frac{mv}{r(\frac{1}{3}M + m )}\\\\\omega _f = \frac{0.055 \times 26.5}{1.2(\frac{2.1}{3} \+ \ 0.055)} \\\\\omega_f = 1.61 \ rad/s[/tex]
Kinetic energy before the collisionKinetic energy before the collision is calculated as follows;
[tex]K.E_i = K.E_{ball} + K.E _{rod}\\\\K.E_i = K.E_{ball} + 0\\\\K.E_i = \frac{1}{2} \times m \times v^2\\\\K.E_i = \frac{1}{2} \times 0.055 \times 26.5^2\\\\K.E_i = 19.31 \ J[/tex]
Kinetic energy after the collisionThe kinetic energy after the collision is calculated as follows;
[tex]K.E_f =\frac{1}{2} I_f \omega_ f^2\\\\K.E_f = \frac{1}{2} (\frac{1}{3}Mr^2 + mr^2)\omega _f^2\\\\K.E_f =\frac{1}{2} [\frac{1}{3}(2.1)(1.2)^2 + (0.055)(1.2)^2]\times (1.61)^2\\\\K.E_f = \frac{1}{2} (1.008 + 0.114) \times (1.61)^2\\\\K.E_f = 1.45 \ J[/tex]
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Related Questions
What I Know True or False. Read each statement carefully. Identify whether the statement is true or false. Write your answer on a separate sheet of paper. 1. Carbohydrates contain carbon. 2. Meat contains protein. 3. Lipids are soluble in water. 4. Proteins are made up of nucleotides. 5. DNA is a nucleic acid. 6. Sucrose is a disaccharide. 7. Starch is composed of many glucose units. 8. Fructose is also known as blood sugar. 9. Keratin is easily dissolved in water. 10. Proteins are made up of nucleotides. 11. The heme group of hemoglobion contains iron. 12. A nucleotide has three parts: nitrogenous base, sugar, and phosphate group. 13. DNA has a double-helix structure. 14. Triglyceride is a protein. 15. Generally, unsaturated fatty acids remain solid at room temperature,
Answers
Answer:
1. False
2. True
3. True
4. True
5. True
6. False
7. True
8. False
9. False
10. True
11. True
12. True
13. True
14. True
15. True
7. A sprinter accelerates from rest to a velocity of 12 m/s in the first 6
seconds of the 100-meter dash.
What is the acceleration in the first 6 seconds?
b. How far does the sprinter travel during the first 6 seconds?
Answers
Answer: a) 36 m/s
B) 64 m
Explanation:
A) d= ½ (Vi+Vf)t
d= ½ (0+12)6
d= 36 m/s
B) 100 – 36 = 64
A shell is fired from the ground with an initial speed of 1.60 × 10^3 m/s (approximately five times the speed of sound) at an initial angle of 68.0◦ to the horizontal. The acceleration of gravity is 9.81 m/s^2 Neglecting air resistance, find the shell's horizontal range? Answer in units of m
Answers
Answer:
181276.802 m
Explanation:
The computation of the horizontal range of the shell is shown below:
As we know that
range = u × usin2θ ÷ g
where,
u = 1600 m/s
θ = 68
g=9.81
NowPut these values to the above formula
So, the value of the horizontal range of the shell is
R = 181276.802 m
= 181276.802 m
We simply applied the above formula and the same is to be considered
Which of the following is usually tax exempt?
Answers
Answer:
Explanation:
whatever expenses a business might have like
repairs
buying equipment
employees
A statue and a coin are made out of exactly the same materials. Which property would you claim will likely be the same for both the statue and the coin?
mass
reactivity
volume
shape
Answers
I believe that the correct answer is reactivity.
How a killer whale causes deforestation of the seabed
Answers
We can confirm that the primary reason that killer whales cause deforestation of the seabed is due to a domino effect caused by one of their food sources.
How do whales cause deforestation?Killer whales are carnivorous organisms. Among their prey are sea otters. This new source of food for killer whales began to cause a domino effect in that the decline in sea otter population caused the primary meal of the otters, that being sea urchins, to increase greatly in population. Given that the sea urchins feed on kelp, this contributes to the deforestation of the sea bed and the lack of kelp.
Therefore, we can confirm that killer whales cause deforestation of the seabed in an indirect manner by contributing to the increase in sea urchin populations that leads to deforestation of the seabed.
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Determin the acceleration that results when an object starts at rest moves a distance and it’s final speed is 49 m/sec
(show work please and equation used)
(also don’t understand this question at all)
Answers
Answer:
The answer is below
Explanation:
The question is not complete since the distance is not given. But let us assume the object moves a distance of 100 m.
From newton's law for a moving body, we get the equation:
v² = u² + 2as
Where v is the final velocity of the object, u is the initial velocity of the object, s is the distance moved by the object and a is the acceleration of the object.
Given that the object is initially at rest, hence u = 0, final speed (v) = 49 m/s, distance (s) = ?
v² = u² + 2as
Substituting:
49² = 0² + 2as
2401 = 2as
a = 2401 / 2s
Substituting s = 100 m
a = 2401 / (2*100)
a = 12 m/s²
is KBr a covalent or ionic compound
Answers
Answer:
Ionic Compound
Explanation:
To identify the type of chemical bond in a molecule, look at the atoms that make up the compound. If there are two nonmetals, it is a covalent bond. If the two atoms are metals, it is a metallic bond. If one atom is a metal and the other is a nonmetal, it is an ionic bond. Ionic compounds are also known as salts. You can identify KBr as an ionic compound because potassium is a metal and a salt.
Hope this helps
Ionic Compound
KBr ( Pottasium Bromide ) .
Ionic compounds are also known as salts.
KBr as an ionic compound because Pottasium is a metal and Bromine is a non metal . KBr is an ionic compound due to the type of bonding that occurs between the two elements - an electrostatic attraction between the two ions.1. A dolphin swims at a speed of 1.8 km/h. How far has the dolphin traveled after 5 hours?
2. How long will it take Michael to run a 100 m distance, if his speed is 7 m/s?
3. Tina was asked by her mother to buy milk in a sari-sari store. Her road map was given as follows: 10 m East, 20 m North 10 m West. What is her average speed in m/s, if it took her 8 minutes to reach the store? What is her average velocity?
4. John and Michael took a 10-minute walk along a straight road to a barbershop 500 meters away, What is their average speed?
5. In a fun run, Cherry is running at a speed of about 5 m/s. How many minutes will it take her to travel a distance of 1 km?
6. A jeepney is traveling at a speed of 20 km/h along a straight highway. How far did it travel after 0.5 h?
7. Karen drives her car going to work. At the start of the trip, the initial reading on the odometer is 3510 km. Upon arriving at her workplace, the odometer reads 3600 km. The trip took her 1.5 h. What is the car's average speed in km/h?
8. Carlos and her friend Mia traveled 40 km from Manila to Laguna to buy plants for their garden at school. After buying, they drove straight back to Manila. What is their average velocity, if the round trip took them 3 hours?
9. The ferry boat traveling along Pasig river has an average speed of 12 km/h. How long will a passenger reach her destination, if it is 5 km away from the station?
10. Philip, a football player runs a pass route that takes a right angle bend as shown in the diagram below. Which do you think will have the greater magnitude; the average speed or the average velocity? Why?
Answers
Answer:
all these questions for just 5 points.
A ball is gently dropped from a height of 30m. If its velocity increase uniform at the rate of 10m/s with what velocity will it strikes the ground ? After what time will it strike the ground?
Answers
Explanation:
Need to FinD :The velocity of the ball with strikes the ground.The time of the ball after which it strikes the ground.[tex] \red{\frak{Given}} \begin{cases} & \sf {A\ ball\ is\ gently\ dropped\ from\ a\ height\ of\ {\pmb{\sf{30\ m}}}.} \\ & \sf {Its\ velocity\ increase\ at\ the\ rate\ of\ {\pmb{\sf{10\ m/s^2}}}.} \end{cases}[/tex]
We know that,
The ball is dropped from the height of 30 m as stated in the question. Therefore, it will have a initial velocity of 0 m/s. The distance travelled by the ball will be 30 metres as the distance travelled by the ball is equal to the height of the tower and that is 30 metres.So, by using the third equation of motion, we will find out the final velocity of the ball.
[tex]\rule{200}{3}[/tex]
Therefore,
[tex] \sf \dashrightarrow {2as\ =\ v^2\ -\ u^2} \\ \\ \\ \sf \dashrightarrow {2 \times 10\ m/s^2 \times 30\ m\ =\ v^2\ -\ (0\ m/s)^2} \\ \\ \\ \sf \dashrightarrow {v^2\ =\ 600\ m^2/s^2} \\ \\ \\ \sf \dashrightarrow {v\ =\ \sqrt{600\ m^2s^{-2}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{Final\ velocity\ (v)\ =\ 24.49\ m/s \approx 24.5\ m/s}}}}_{\sf \blue{\tiny{Required\ velocity\ of\ ball}}}} [/tex]
∴ Hence, the required final velocity of the ball with which it strikes the ground is 24.5 m/s. Since, we know that the initial velocity of the ball is 0 m/s and the acceleration of the ball is 10 m/s². So, by using the first equation of motion, we will find out the time of the ball after which it stikes the ground.
[tex]\rule{200}{3}[/tex]
Therefore,
[tex] \sf \dashrightarrow {v\ =\ u\ +\ at} \\ \\ \\ \sf \dashrightarrow {t\ =\ \dfrac{v\ -\ u}{a}} \\ \\ \\ \sf \dashrightarrow {t\ =\ \dfrac{24.5\ m/s}{10\ m/s^2}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{Time\ (t)\ =\ 2.45\ s}}}}_{\sf \blue{\tiny{Required\ time}}}} [/tex]
∴ Hence, the required time of the ball after which it strikes the ground is 2.45 seconds.
Next question do you prefer online or in-person school I give Brainliest
Answers
Answer:
I prefer online because I get social anxiety and I have seizures and ptsd episodes, so I'd just much rather be online
company has the goal of developing technology to remove carbon dioxide from the atmosphere its design team is making a model based on one possible solution to the problem which step of the engineering design process comes next
Answers
Answer:
Its testing the prototype
Explanation:
I just took the test on apex :)
Andy took a bus and then walked from his home to downtown. For the first 1.6 hour, the bus drove at an average speed of 15 km/h
Answers
1.6x15=24
0.4x4.5=1.8
24+1.8=25.8
1.6+0.4=2
25.8/2=12.9
Answer:
1.6x15=24
=0.4x4.5=1.8
=24+1.8=25.8
=1.6+0.4=2
=25.8/2=12.9
The temperature below which magnetic material can retain a permanent magnetization is called the ________. Group of answer choices Bullard point Darcy temperature Vine temperature Curie point
Answers
Answer: Your answer is D. Curie point
Hope this helps!
What is the mass(M) of a 330 N television? gon earth is = 9.8 m/s2
Answers
Explanation:
Well, it depends...
Explanation:
Weight is given by the formula,
W
=
m
g
W
is the weight of the object in newtons
m
is the mass of the object in kilograms
g
is the gravitational acceleration
On Earth,
g
=
9.8
m/s
2
. So, the object's weight on Earth will be:
W
=
50
kg
⋅
9.8
m/s
2
=
490
N
Can you tell what the object's weight will be on another planet, such as Mars?
Answer: 34 kilograms (approximate)
==================================
Work Shown:
F = m*g
330 newtons = (m kg)*(9.8 m/s^2)
330 = m*9.8
330/9.8 = m
m = 33.673469387755
m = 34 kilograms
I'm rounding to 2 significant figures because 330 has 2 sig figs and 9.8 has 2 sig figs. When dividing we pick the smaller of the sig fig count to determine how many sig figs to round to.
A car of mass 1500kg is brought to rest from a velocity of 25m/s by a constant force of 3,000N. Determine the change in momentum produced by the force and the time it takes for the car to come to rest.
Answers
change in momentum = 37,500kg.m/s in the opposite direction
time it takes = 12.5s
u=25m/s
v=0m/s
F=ma
-3000=(1500)(a)
-3000÷1500=a
a= -2m/s^2
Change in momentum=mv-mu
(1500)(0)-(1500)(25)
= -37,500kg.m/s
relax the( - ) represents direction
v=u-at
0=25-2t
2t=25
t= 12.5s
please help me guys i really dont understand this one
Answers
Answer:
Density is the degree of compactness in an object.
Explanation:
S.I unit is kg/m3
Answer:
The mass of the paraffin is 70g
Explanation:
You have to subtract the mass of the empty beaker from that of the empty beaker and paraffin oil to get the mass of the paraffin oil
Select the correct answer. What can be found by counting the number of troughs per second in a wave diagram? A. Amplitude B. Direction C. Frequency D. Speed E. Wavelength.
Answers
Option C is correct. Frequency can be found by counting the number of troughs per second in a wave diagram.
What is the frequency?Frequency is defined as the number of repetitions of waves occurring in 1 second. It can also be said that Frequency is defined as the number of cycles completed in 1 second.
Frequency is given by the formula as,
[tex]\rm f=\frac{1}{t}[/tex] Hz.
Hence option C is correct. Frequency can be found by counting the number of troughs per second in a wave diagram.
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Answer:
C is correct
Explanation:
How long would it take for a car to travel 3200 km at 80 km/hr East?
Answers
Answer:
3.75 hr.Explanation:
distance = 300 km
velocity = 80 km/hr.
find: time
time = distance
velocity
= 300 km
80 km/hr.
= 3.75 hr.
vehicles equipped with disc brakes incorporate a mechanically operated drum-style parking brake in the center of the rear disc brake rotors, commonly called a
Answers
Vehicles equipped with disc brakes incorporate a mechanically operated drum-style parking brake in the center of the rear disc brake rotors, commonly called a top hat parking brake.
What is top hat parking brake?
The top hat drum style of parking brake system is called the top hat rotors because of how big the middle part is compared to regular rotors.
In this type of parking brake system, the vehicle is equipped with disc brakes which incorporate a mechanically operated drum-style parking brake in the center of the rear disc brake rotors.
Thus, vehicles equipped with disc brakes incorporate a mechanically operated drum-style parking brake in the center of the rear disc brake rotors, commonly called a top hat parking brake.
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PLEASE HELP!!!!!!!!!!
Because the boy is slowing down, his velocity decreases over time. Use the final and starting velocities in the data table to calculate his average acceleration. Use the equation , where t is time, ux is initial velocity, vx is final velocity, and ax is acceleration. Use time t = 1.6 seconds, which is calculated using values from the table (1.8 − 0.2).
Answers
Answer:
The answer should be 0.825
Explanation:
I took like 20 mins to figure this out lol
The long distance water movement, from roots up to leaves, of the water transport in large plants depends on one unique property of water. Water's unique property of ______________ allows water molecules to stick together so they can be pulled upward by the force of transpiration.
Answers
Answer:
cohesion and adhesion property of water
Explanation:
Water - the universal solvent with many unique properties. According to the given question, one of the unique properties of water that can be the best answer to the question is the property of cohesion and adhesion of water.
Therefore, the long distance water movement, from roots up to leaves, of the water transport in large plants depends on one unique property of water. Water's unique property of cohesion and adhesion allows water molecules to stick together so they can be pulled upward by the force of transpiration.
HELP QUICK PLEASE! :)
The vector diagram below represents the horizontal
component, Fh, and the vertical component, Fy, of a
24-newton force acting at 35° above the horizontal.
1
ח.
24 N
35°
FH
What are the magnitudes of the horizontal and vertical
components?
Oo
FH = 4.9 N and Fy 3.5 N
FH = 3.5 N and Fy = 4.9 N
Oь
Oc
FH = 20. N and Fy = 14N
Od
FH = 14 N and Fy = 20. N
Answers
Answer:
C
Explanation:
This is a simple trigonometrical problem
FH=cos(35)*24=19.66
FV=sin(35)*24=13.77
Hope this Helps
The magnitudes of the horizontal and vertical components will be FH = 20. N and Fy = 14N. Option C is correct.
What is a vector?A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
If no vector can be written as a linear combination of the others, a set of vectors is said to be linearly independent.
Given that 24-newton force acting at 35° above the horizontal.
The given force is resolved as;
[tex]\rm F_H=24cos(35)^0=19.66\\\\ F_V=24sin(35)=13.77[/tex]
The magnitudes of the horizontal and vertical components will be FH = 20. N and Fy = 14N.
Hence,option C is correct.
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3) (a) A piece of brass weighs 175g in air and 150 g when fully immersed in water. The
density of water is 1.0gcm-3.
What is the volume of the brass piece?
(ii) (ii) Why does the brass piece weigh less in water?
Answers
Answer:
[tex]\rainbow{\rule{10000pt}{900000pt}}[/tex]
What is the electrical force between q2 and q3? Recall that k = 8. 99 × 109 N•meters squared over Coulombs squared. 1. 0 × 1011 N –1. 1 × 1011 N –1. 6 × 1011 N 1. 8 × 1011 N.
Answers
Force on the particle is defined as the application of the force field of one particle on another particle. the electrical force between q₁ and q₃ will be –1. 1 × 10¹¹ N.
What is electric force?Force on the particle is defined as the application of the force field of one particle on another particle. It is a type of virtual force.
The electric force in the second case will be the same as in the first case. Therefore the force on the particle will be the same.
[tex]\rm F= K\frac{q_2q_3}{r^2}[/tex]
[tex]\rm F= 9\times 10^9 \times \frac{1.6 \times 10^{-13}\times 1.6\times10^{-13}}{(0.5)^2}[/tex]
[tex]\rm F= - 1. 1 \times 10^{11 }N[/tex]
Hence the electrical force between q₁ and q₃ will be –1. 1 × 10¹¹ N.
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On Earth, a board is supported near the ends by Laney and Mia. If Laney exerts 52N upward and
Mia exerts 35 N upward, find the mass of the board if it is in Translational Equilibrium. (Type
answer with 2 significant digits)
Answers
Answer:
??? this makes no sense give more info
Explanation:
Arrange the rock layers from oldest to youngest. Reexamine the rock outcrops if you need to. Record the order in the
Student Guide.
TOOLS
youngest
Breccia
Conglomerate
Age
Dolostone
Shale
oldest
Answers
Answer:
from top (youngest) to bottom (oldest) -
Conglomerate
Brecca
Shale
Dolostone
Explanation:
got it wrong from the person above and then it said this the right answer lol.
The oldest rock layer among the given options is shale then it is dolostone and then conglomerate and the youngest rock layer is Breccia.
What is sedimentary rocks?Sedimentary rocks are formed from the sediments by river and ocean. These are developed over time by the action of wind and water. Sedimentary rocks are deposition or accumulation or minerals on the earth surface.
There are different types of rock layers based on the minerals present, age and formation.Shale rock is a clastic sedimentary rock formed flakes of clay minerals.
Conglomerate rocks is another clastic rock containing round clasts of more than two millimeters in diameter. Dolostone or dolomite is limestone and breccia is a mineral cement with fine sharp angled fragments.
The oldest among this is shale and the order for others from oldest to youngest is dolostone, conglomerate and breccia.
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a 5.00 kg mass is at the origin. a 7.00 kg mass is located at x = 0.600 m, and a 4.00 kg mass is at x = 0.900 m. What is the net gravitational force on the 5.00 kg mass?
Answers
Answer:
Given,
A 5 kg mass is at the origin. A 7 kg mass is located at x = 0.6 m and a 4 kg mass is at x = 0.9 m.
To find,
the net gravitational force on the 5 kg mass.
we know, from Newton's gravitational law, two massive bodies attract each other by a force , F = Gm₁m₂/r²
so, 7 kg mass attracts 5kg mass by the force, F₁ = G(7kg)(5kg)/(0.6)²
= 35G/0.36 = 97.22G
similarly, 4kg mass attracts 5kg mass by the force, F₂ = G(4kg)(5kg)/(0.9)²
= 20G/0.81 = 24.69G
net gravitational force = F₁ + F₂
= 97.22G + 24.69G
= 121.91G
we know, G = 6.67 × 10¯¹¹ Nm²/Kg²
F = 121.91 × 6.67 × 10¯¹¹
= 813.1397 × 10¯¹¹ N
= 8.131397 × 10^-9 N ≈ 8.13 × 10^-9 N
Therefore net gravitational force acting on mass 5kg is 8.13 × 10^-9 N
Which form of electromagnetic light can be used for cooking food?
A) X-rays
B) Ultra-violet (UV) light
C) Gamma Rays
D) Microwaves
Answers
Answer:
Microwaves (D
Explanation:
I'm not sure! But I think it's Microwaves!
25 POINTS will mark brainliest if correct
The radius of Neptune is 2.48 x 107m. The radial acceleration of an object at the equatorial surface of
The radius of Neptune is 2.48*10^7m. The radical acceleration of an object at the equatorial surface of Neptune is 0.292 m/s2. What is Neptune's period of rotation in seconds?
A.18,000 s
B.1200 s
C.58,000 s
D.9200 s
Answers
Answer: The answer is C. 58,000
Explanation: