Hello!
We can begin by using the Work-Energy theorem. The initial energy is the kinetic energy of the combined mass of the bullet and suspended object, while the final energy is the GPE of the combined objects.
In equations:
[tex]E_i = \frac{1}{2}mv^2\\\\E_f = mgh[/tex]
m = combined mass of the bullet and suspended object (0.5 kg)
v = velocity of block system after struck (? m/s)
g = acceleration due to gravity (10 m/s²)
h = final height of combined objects (1.8 m)
Set the two equal (Conservation of Energy) and solve for velocity.[tex]\frac{1}{2}mv^2 = mgh \\\\\frac{1}{2}v^2 = gh \\\\v^2 = 2gh \\\\v = \sqrt{2gh}\\\\v = \sqrt{2(10)(1.8)} = 6 \frac{m}{s}[/tex]
Now, we can use the conservation of linear momentum to solve.
Recall that:
[tex]p_i = p_f[/tex]
For an inelastic collision (objects stick together):
[tex]m_1v_1 + m_2v_2 = (m_1 + m_2) v_f[/tex]
Let m1 represent the bullet and m2 represent the suspended object.
Initially, the suspended object has no velocity, so v2 = 0. Therefore:
[tex]m_1v_1 = (m_1 + m_2)v_f\\\\v_1 = \frac{(m_1 +m_2)v_f}{m_1}\\\\v_1 = \frac{(0.5)(6)}{0.05} = \boxed{60 \frac{m}{s}}[/tex]
Describe how our knowledge of science changes over time
Answer:
Explanation:
Science has come a long way in the last 150 years. We now have more powerful data analysis techniques, more sophisticated equipment for making observations and running experiments, and a much greater breadth and depth of scientific knowledge.
a pendulum wiht a cord length of 1 m swings in a vertical plane, when the pendulum is in the two horizontal ositions 90 and 270 its speed is 5 m/s what is the magnitude of the radial accelertaion
The magnitude of the radial acceleration of pendulum is 25 rad/s²
What is acceleration?Acceleration can be defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
The centripetal acceleration or radial acceleration for the pendulum is given by
a = v²/r
Given is the radius = cord length of pendulum =1m and the velocity v = 5m/s, then the acceleration will be
a = (5)² /1
a = 25 rad/s²
Thus, the radial acceleration is 25 rad/s²
Learn more about acceleration.
https://brainly.com/question/12550364
#SPJ1
If the potential energy of a roller coaster is 60,000 J at the highest point, what is its kinetic energy at the lowest point?
Answer:
60 000 J
Explanation:
The PE will be converted to KE entirely (if the lowest point is ground level)
Explain why stars are unevenly distributed throughout the universe.
A current carrying wire of length 50cm is positioned perpendicular to a uniform magnetic field
A current-carrying wire of length 50 cm is positioned perpendicular to a uniform magnetic field. The magnetic field strength is 0.6 Tesla.
What is magnetic field?The magnetic field is the region of space where an object experiences a magnetic force as it enters the field.
Given is the wire of length 50 cm = 0.5 m and the current is 10.0 A. There is a resultant force of 3.0 N on the wire due to the interaction of the current and field.
The relation between magnetic field strength and current is
F = ILB
Substituting 50 for L, 10 for I and 3 for F, we get the magnetic field strength B.
3 = 10 × 0.5 × B
B= 0.6 Tesla
Therefore, the magnetic field strength is 0.6 Tesla.
Learn more about magnetic field.
#SPJ
Which legal measure allowed whites in southern states to keep blacks from voting after reconstruction ended?.
Jim Crow laws was the legal measure which allowed whites in southern states to keep blacks from voting after reconstruction ended.
What was JIm Crow law?These were the state and local laws which enforced racial segregation in the Southern part of the United States.
Due to this laws, whites in southern states kept blacks from voting after reconstruction ended.
Read more about JIm Crow law here https://brainly.com/question/24845174
#SPJ1
When summer changes to fall, what seasonal changes do plants experience? (IGNORE HIGHLIGHTED ANSWER)
Answer:
C
Explanation:
There is a decrease in temperature and daylight and plants produce less food.
Please mark brainliest!!
*Quick Reminder: If this is an assignment from homeschool/school, please don't forget to rephrase/summarize/reference from this answer. Keep in mind no plagiarism is allowed in school. And please don't plagiarize this answer. Thanks!*
which statement most likely describes plutonium?
What is the wavelength of an electromagnetic wave having a
frequency of 1 hertz? of 100,000 hertz?
Answer:
c = λ f
λ = c / f
λ = 3E8 / 1 = 3.00E8 m wavelength of 1 hertz
λ = 3E8 / 1E5 = 3000 m wavelength of 100,000 hertz
Car makers have developed cars that are completely electric. They use no gasoline. Instead, they are plugged into electrical outlets. The cars store electricity from the outlets in their batteries. They use the electricity to move. Some people claim that these electric cars are “emission-free”—that is, that they produce no air pollution. Are plug-in electric cars really emission-free? Explain your answer.
Answer:
yes bc we are wasting gas and this will help use less
Explanation:
Which of the following statements is correct?
Question 5 options:
Lithium is a metal, Titanium is a nonmetal
Magnesium and Helium are gases.
Copper and Argon conduct electricity,
Calcium is malleable, Sulfur is not malleable.
Option A
Lithium present in group 1 so it's a alkali metal Titanium is outside d block elements hence it's a non metal .Answer:
d) Calcium is malleable, Sulfur is not malleable.
Explanation:
Calcium is a metal and shows property of malleability. Sulfur is a non metal and it does not shows property of malleability. Hence, option (d) is the correct answer.
How does the speed of light change as the index of refraction increases?.
[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}} [/tex]
So as the index of refraction value increases, the optical density increases, and the speed of light in that material decreases.Identify the functions below as belonging to one of these radio transmission devices: oscillator, transmitting antenna, microphone, or modulator.
Sends out radio waves having the same frequency as the current supplied by the oscillator.
Enables the waves produced by the antenna to “carry” the pattern of the sound waves picked up by the microphone.
Converts a direct current into a high-frequency alternating current.
Picks up sound waves and converts them into suitable electric current with the same pattern as the sound waves.
The option 1,2,3 and 4 are matches with the option B,A,D,and C respectively. Oscillator, transmitting antenna, microphone, or modulator are the type of the radio transmission devices.
What is microphone?Microphone is a radio transmission devices picks up sound waves and converts them into suitable electric current with the same pattern as the sound waves.
The functions of the following radio transmission devices are as follows;
1. Oscillator- (B) Enables the waves produced by the antenna to “carry” the pattern of the sound waves picked up by the microphone.
2. Transmitting antenna-(A) Sends out radio waves having the same frequency as the current supplied by the oscillator.
3. Microphone-(D) Picks up sound waves and converts them into suitable electric current with the same pattern as the sound waves.
4. Modulator-(C) Converts a direct current into a high-frequency alternating current.
Hence, the option 1,2,3 and 4 are matches with the option B,A,D,and C respectively.
To learn more about the microphone, refer to the link;
https://brainly.com/question/12484674
#SPJ1
Dave Ramsey mentions that insurance is the defense for managing your money. Why is this true?
It is true that insurance is the defense for managing money because it ensures that your money is efficiently utilized even in your absence.
What is insurance?Insurance refers to a means of indemnity against a future occurrence of an uncertain event such as an accident, death, robbery etc.
Insurance is a way to protect one's assets from getting lost when faced with unforeseen circumstances.
For example;
A liability insurance protects one in case another person sues for injuries or loss caused by one's negligence or improper actions. Life insurance protects one's beneficiaries from loss of income by paying them money after one's death.Therefore, it is true that insurance is the defense for managing money because it ensures that your money is efficiently utilized even in your absence.
Learn more about insurance at: https://brainly.com/question/989103
#SPJ1
PLS HELP ME Which object has the greatest kinetic energy?
A: a truck with a mass of 3,500 kg moving at 30 m/s
B: a person with a mass of 73 kg running 6 m/s
C: a locomotive engine with a mass of 205,000 kg moving 5 m/s
D: a fast pitched baseball with a mass of .5 kg moving at 46.9 m/s
A locomotive engine with a mad of 205000kg moving with 5m/s
Explanation:
[tex]from \: the \: options \: substitute \: the \: formulars \: for \: kinetic \: energy \\ for \: opton \: a \: ke = \frac{1}{2} mv {}^{2} = \frac{1}{2} \times 3500 \times 30 {}^{2} = 1575000 \\ for \: option \: b \: ke = \frac{1}{2} mv {}^{2} = \frac{1}{2} \times 73 \times 6 {}^{2} = 1314 \\ for \: option \: \: c = \frac{1}{2}mv {}^{2} = \frac{1}{2} \times 205000 \times 5 {}^{2} = 2562500 \\ for \: option \: d \: = \frac{1}{2}mv {}^{2} = \frac{1}{2} \times 0.5 \times(46.9) {}^{2} = 549.9025 \\ from \: the \: analysis \: above \: the \: options \: that \: has \: the \: highest \: kinetic \: energy \: is \: a \: locomotive \: engine \: with \: a \: mass \: of \: 205000kg \: moving \: with \: a \: velocity \: of \: 5 \frac{m}{s} [/tex]
What does the path of an object look like when it is in uniform motion?
Answer:
Graphically the path of an object will be linear; it looks like a straight line when it is in uniform motion.
Your center of gravity should never be over the center of your base of support if you want to be stable.
O A. True
OB. False
Is there mechanical work done if the direction of work and the displacement perpendicular to each other?
No that's not mechanical work done .
If displacement happens then whatever the direction be the work is done except nπ/2 values of theta
In that case the general formula W=Force×Distance can't be used
Then We have to include theta
W=FdcosØPut Ø=90
W=Fdcos90W=Fd0W=OJNo work done
1. Answer the following questions. a. Which one of the following is not a pure substance? i. Air ii. Sugar iii. Salt iv. Gold
Answer:
A.
Explanation:
The awnser is A because air is made of a combination of compounds making it not a pure substance. The rest are pure substances.
How many sub levels does the third energy level have?
The energy levels are also called principal levels. The number of sublevels in the third energy level is three.
What is energy level?The Energy levels are at a fixed distance from the nucleus of an atom, where electrons are arranged in shells.
In the third energy shell, electrons are present. The third principal energy level has three sublevels, s, p and d.
The number of sublevels in the third energy level is three.
Learn more about energy levels.
https://brainly.com/question/17396431
#SPJ
If 4. 0 j of work are performed in stretching an ideal spring with a spring constant (force constant) of 2500 n/m, by what distance is the spring stretched?
The distance by which the spring is stretched when 4. 0 j of work are performed in stretching it with a spring constant (force constant) of 2500 n/m is 5.7 cm.
How to calculate the work done required stretching the spring?Work done of spring is the product of average force and the displacement. It can be given as,
[tex]W=\dfrac{1}{2}kx^2[/tex]
Here, k is the spring constant and x is the displacement.
The 4. 0 j of work are performed in stretching an ideal spring with a spring constant (force constant) of 2500 n/m. Thus,
[tex]W=4\text{ J}\\k=25000\text{ N/m}\\[/tex]
Put the values in the formula.
[tex]4=\dfrac{1}{2}(2500)(x)^2\\x^2=\dfrac{4\times2}{2500}\\x=\sqrt{0.0032}\\x=0.057 \text{m}\\x=5.7 \text{cm}[/tex]
Thus, the distance by which the spring is stretched when 4. 0 j of work are performed in stretching it with a spring constant (force constant) of 2500 n/m is 5.7 cm.
Learn more about the work done of spring here;
https://brainly.com/question/3317535
#SPJ4
What happened to the balloon when it was placed on the bottle with the baking soda and vinegar and why
Answer:
it creates a gas called carbon dioxide. The gas begins to expand in the bottle and starts to inflate the balloon
Explanation:
Why does this happen? well, The faster-moving particles inside the bottle start to move faster and faster and soon they expand to fill the balloon.
What breathe in oxygen (O2) and breathe out Carbon dioxide (CO2)??
Answer:
The answer is Human beings
Answer:
Respiration
Explanation:
because the role of the respiratory system is to inhale oxygen and exhale carbon dioxide were by the cells of the body use oxygen to perform certain functions that keeps us alive and the waste products created by our body cells after they've performed these functions is regarded as carbon dioxide.
(astronomy)
if gaia's photometric instrument broke down, what would scientists be less
able to measure?
If Gaia's photometric instrument broke down. Scientists will not able to measure the electromagnetic radiation.
What is electromagnetic radiation?
Electromagnetic radiation is a type of energy that is transmitted in incident photons as both magnetic and electric waves.
Electromagnetic radiation has a spectrum with varying wavelengths and frequencies, which gives it different properties.
A device that detects the intensity of electromagnetic radiation is called as the photometric instrument.
Hence,scientists will not able to measure the electromagnetic radiation.
To learn more about the electromagnetic radiation, refer to the link;
https://brainly.com/question/10759891
#SPJ1
Type the correct answer in the box. Express your answer to three significant figures.
Calcium nitrate reacts with sodium phosphate to form sodium nitrate and calcium phosphate. Given 96.1 grams of calcium nitrate, what's the
theoretical yield of calcium phosphate? Use the periodic table and the polyatomic ion resource.
The mass of calcium phosphate the reaction can produce is
grams.
The mass of calcium phosphate the reaction can produce is 6.076 grams.
What is mass?Mass is a numerical measure of inertia, which is a basic feature of all matter. It is, in effect, a body of matter's resistance to a change in speed or position caused by the application of a force.
In the International System of Units (SI), the kilogram is the unit of mass.
Given;
Mass of calcium nitrate (Ca(NO₃)₂) = 96.1 g
Mass of calcium phosphate=?
The chemical equation is found as;
3Ca(NO₃)₂ + 2Na₃PO₄ → 6NaNO₃ + Ca₃(PO4)₂
3 moles of Ca(NO₃)₂ produces 1 mole of Ca₃(PO4)molar mass of calcium phosphate is 164 g/mol
Moles are found as the ratio of the mass of the compound and its molar mass. Moles of Ca(NO₃)₂ is n.
n = 96.1/164 = 0.5859 moles
Moles of Ca3(PO4)2 produced ;
N=0.0589 ×(1/3) = 0.0196 moles
The molar mass of calcium phosphate is 310 g/mol and the mass of calcium phosphate produced will be;
M=0.0196×310
M = 6.076 g
Hence,the mass of calcium phosphate the reaction can produce is 6.076 grams.
To learn more about the mass, refer to the link;
https://brainly.com/question/13073862
#SPJ1
Mike understands the formula for temperature conversion, but is having difficulty imagining what various temperatures feel like. which of these would be a good example to tell mike what 37°c feels like? a. room temperature b. a hot pan c. body temperature d. a chilly autumn evening
A good example that will help to to tell mike what 37°c feels like is body temperature.
What is room temprrature?The average room temperature is typically around 20°C, or 68 degrees Fahrenheit.
What is body temperature?The average body temperature is 98.6 Fahrenheit or 37 degrees Celsius.
Thus, a good example that will help to to tell mike what 37°c feels like is body temperature.
Learn more about body temperature here: https://brainly.com/question/5295345
#SPJ4
PLEASE HELP WILL GIVE BRAINLIEST
Which correctly compares the background extinction rate for mammals to the actual extinction rate over the past 400 years?
A. )45 times higher
B. )25 times higher
C,35 times lower
D. )15 times lower
Answer:
45 times higher
Explanation:
hope this helps
Answer:
The background extinction rate is the average rate at which species become extinct over geological time, usually estimated in millions of years. The actual extinction rate refers to the rate at which species are currently going extinct.
Based on scientific studies, the actual extinction rate over the past 400 years is significantly higher than the background extinction rate.
The correct answer is A. 45 times higher.
Explanation:
In one or two sentences, explain design modifications which were implemented after the tacoma bridge disaster
The modifications that are implemented after Tacoma bridge disaster are added trusses and openings below road decks to decrease oscillations.
Why Tacoma Bridge disaster occurred?While marching, the natural frequency of the vibrations of marching soldiers matched up with the resonant frequency of the bridge. This resulted in the collapsing of the bridge in seconds.
Because of the disaster of the Tacoma Narrows Bridge, the bridge was strengthened by adding trusses as well as openings below road decks so as to decrease vibrations caused by running vehicles on the bridge.
Thus, the modifications that are implemented after Tacoma bridge disaster are added trusses and openings below road decks to decrease oscillations
Learn more about Tacoma Bridge disaster.
https://brainly.com/question/17924109
#SPJ1
Sulfur dioxide, SO2, is a chemical preservative and antioxidant put in food and beverages in the US. It is stored in cool, dry warehouses in 5-liter containers, which hold a mass of 14.6 kg of SO2 gas. On Friday, May 27, ErCOT experiences a brown-out and the warehouse loses power, which causes it to heat up. If the warehouse is typically kept at 20°C and it heats up to 85°C, how much thermal energy does one container of sulfur dioxide absorb, in kilojoules? [The specific heat capacity of sulfur dioxide at 20°C is 1.37 J/g°C.]
Q=mcΔt
Q=14.6 x 10³ x 1.37 x (85-20)
Q=1.3 x 10⁶ J = 1.3 x 10³ kJ
a jet plane travels 1500 km in 2 hours. what is the speed of the jet
Answer:
Speed = distance / time
= 1500 /2
= 750 km/h