The question requires calculating the post-collision speed of two football players using the law of conservation of momentum. The initial momenta of the players are summed up and then divided by their combined mass to find the final velocity after collision, using the formula: initial momentum = (combined mass) * final velocity.
Explanation:The subject of this question involves applying the conservation of momentum to find the post-collision speed of two football players. To solve the problem, we use the principle that in an isolated system (without external forces), the total momentum before the collision is equal to the total momentum after the collision. The formula for momentum is p = mv, where m is the mass and v is the velocity. For two objects colliding and moving together:
Given:
- Mass of fullback, m1 = 98 kg
- Velocity of fullback, v1 = 8.6 m/s
- Mass of defensive back, m2 = 76 kg
- Velocity of defensive back, v2 = 9.8 m/s
We calculate the total initial momentum:
initial momentum = (m1 * v1) + (m2 * v2)
Now, because after the collision they move together as one object, their combined mass is (m1 + m2), and let's call their final velocity vf. The conservation of momentum tells us that:
initial momentum = (m1 + m2) * vf
Therefore, we can solve for vf as follows:
vf = initial momentum / (m1 + m2)
By plugging in the given values, we can compute the post-collision speed of the two players immediately after the tackle.
12) Photosynthesis is a chemical reaction where carbon dioxide and water react to form glucose (C6H12O6) and oxygen gas. Which represents the proper balanced equations for photosynthesis?
Answer : The balanced chemical reaction will be,
[tex]6CO_2+6H_2O\overset{sunlight}\rightarrow C_6H_{12}O_6+6O_2[/tex]
Explanation:
Photosynthesis : It is a type of chemical reaction that occurs in the green plants or living organism.
During the photosynthesis process, the carbon dioxide reacts with water in the presence of sunlight to produce glucose and oxygen as a product.
The balanced chemical reaction will be,
[tex]6CO_2+6H_2O\overset{sunlight}\rightarrow C_6H_{12}O_6+6O_2[/tex]
In the photosynthesis reaction, carbon dioxide and water molecule are the reactants and glucose and oxygen are the products.
A photosensitive surface is illuminated with both blue and violet light. the light that will cause more electrons to be ejected is the
When a current flows through an ionic liquid such as salty water, the moving charges are?
In salty water ions are produced by the salt
here salt is NaCl
so it will break in Na⁺ and Cl⁻
They carry the current
Na⁺ moves towards cathode and Cl⁻ moves towards anode
So current is carrying by ions which are Na⁺ and Cl⁻
Given the equation P2 = A3, what is the orbital period, in years, for the planet Saturn? (Saturn is located 9.5 AU from the sun.) 5 years 29 years 229 years 500 years
Answer:
B. 29 years
Explanation:
You use a pulley to lift your bike to the ceiling for winter storage. when you bought the pulley, the salesman claimed that the pulley has a mechanical advantage of 10. while lifting the bike, you notice that the pulley is squeaking because it has rusted over the summer. you determine that the pulley now has an actual mechanical advantage of 3. what is its efficiency?
3
(actually over the theoretical
metabolic processes depend on which factor listed below A.ice B.atospheric nitrogen C.fresh water D.phosphorus
Matilda has a 100 g rock sample. She knows that the rock contains uranium-238 and that the half-life of uranium-238 is 4.5 X 109 years. If she cuts the rock sample in half, what happens to the half-life of the uranium
The rock sample's half-life span remains constant. It will always be 4.5×10⁹ years no matter how many times it is cutting process.
What is uranium?Uranium, with the atomic number 92 and the symbol U in the periodic table, is a weakly radioactive element. One of the heavy metals that may be used as a concentrated energy source is uranium.
The element is found in various rocks in concentrations of 2 to 4 ppm (parts per million).
The rock sample's half-life span remains constant. It will always be 4.5×10⁹ years no matter how many times it is cutting process.
Hence the half-life of the uranium remains unchanged.
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As surface area increases, weathering rate
Which form of radiation is used to directly INCREASE the temperature of water in a nuclear reactor? A) neutrons Eliminate B) beta particles C) alpha particles D) gamma radiation
A driver speeds along a curved road and sees a fallen tree on the road. He applies the brakes but is unable to stop in time. When the car hits the tree, it slows down from 6 meters/second to 0 meters/second. What was the change in velocity during this time?
The change in velocity during the collision was _____ meters/second. need it fast
The change in velocity is the difference of the final velocity and the initial velocity:
0 – 6 = -6 m/s.
What type of rock is formed from the weathered remains of other rocks?
how is the work output of a machine calculated a. by measuring the imput force b. by calculating the output distance c. by measuring the output force ny the output distance d. by dividing the input force by the output force
it is by multiplying the output force by the output distance
A blender takes in 180 J of electrical energy. Of the 180 J, 90 J are transformed into kinetic energy, 60 J are transformed into thermal energy, and the rest is transformed into sound.
Based on the work done by the blender, the efficiency of the blender is 50%.
What is efficiency of a machine?The efficiency of a machine is a measure of the amount of useful work done by the machine compared to the work input into the machine.
Efficiency = work output/work input × 100%The useful work on a blender is the motion of the blender which is a form of kinetic energy.
The efficiency of the blender so then be:
work input = 180 J
work output = 90J
Efficiency = 90/180 × 00% = 50 %
Therefore, the efficiency of the blender is 50%.
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a rigid tank of air is cooled (temperature decreased) the volume has to remain constant because it is a rigid tank the air pressure in the rigid tank ___
A. Increases
B. Decreases
C. Stays the same
20 points please help right away
Electromagnetic waves can carry more data at higher frequencies. Why would a scientist opt to transmit data at a lower frequency instead?
What are the limitations of sending information using electromagnetic waves?
What are the differences between analog and digital signals?
What are the advantages of using digital signals over analog signals?
Using reliable internet sources, identify three ways we use analog and digital signals in our everyday lives.
Transmitting data over low frequency electromagnetic waves can reach great distances before attenuation because are not easily interfered with by obstacles like high frequency waves are. This is because they can diffract over obstacles and pass around them with less shadowing.
A disadvantage of using electromagnetic waves to transmit data is interference. One cause of interference is the transmission ton over same frequency hence the necessity to regulate these waves through policies. Other causes of interference are due to weather or obstacles.
Analogue signal is the decoding of electromagnetic waves into electric pulses (of varying amplitudes) by a decoder and pass the electric circuit in the electronics. However, in digital signal, electromagnetic waves are converted to binary format (0s and 1s). Therefore, analogue signal is a continous signal while digital is discretely broken down into bits.
Digital signal have the advantage of analogue signal over the fact that they can carry loads of information. Analogue signal draws more power than digital signal hence the later is eco-friendly. Digital signals are less likely to be affected by noise unlike analogue signals.
One major application for analogue signals is their use is speakers and microphones. Nonetheless, contemporarily, there are emerging digital microphones and speakers. A popular example of application of digital signal is in the mobile communication industry. The shift from analogue to digital has been greatly revolutionalized communication.
Answer:
Part One
1. Electromagnetic waves can carry more data at higher frequencies. Why would a scientist opt to transmit data at a lower frequency instead?
Higher frequencies of electromagnetic waves travel shorter distances but have higher data capacity. Scientists keep in mind that higher frequencies limit the range for sending information.
2. What are the limitations of sending information using electromagnetic waves?
Electromagnetic waves are sent through air signals, air signals are not private, so anybody in range can pick up the signal.
3. What are the differences between analog and digital signals?
Analog signals use more power, whereas digital signals use less. Analog signal value type is positive as well as negative, whereas digital signal is positive.
4. What are the advantages of using digital signals over analog signals?
The advantages of digital signals are better accuracy, less interference, and greater capacity for sending information.
The advantages of analog signals are strength and frequency change, and it travel in a continuous wave.
5. Using reliable internet sources, identify three ways we use analog and digital signals in our everyday lives.
Some examples of how we use analog and digital signals in our daily life is through phones and televisions. Phones use digital signals; they process our speech digitally and remove any unwanted sounds or echoes. Televisions use digital signals of video and audio processing to present them in a better version.
Part Two
1. Describe how radio telescopes are used to explore space.
Radio telescopes are used to detect radio waves in space.
2. How are radio waves used on Earth?
Radio telescopes are like televisions, right? So, using this information we then know that radio telescopes (television antenna) will detect radio waves that connect to satellite communication and that’s how we have television channels.
3. Why do radio telescopes convert radio waves (analog signals) to electrical (digital) signals for analysis? (Hint: What did the article say about the advantages of digital signals?)
The advantages of digital signals are better accuracy, less interference, and greater capacity for sending information.
Explanation:
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Which of the following are heterogeneous mixtures (not homogeneous mixtures)?
Check all that apply.
A. Blood
B. A smoothie
C. Milk that is sold at the store
D. A cake mix
How does the mass of a bowling ball that has been rolled down the lane affect the kinetic energy?
The answer choice is B
which of the following best describes a capacitor
Answer:
Two parallel metal plates that can store charge
Explanation:
The air in tires can support a car because gases __________.
It took 1.5 hours for a bus to go from one city to the next the bus traveled at an average velocity of 52 mph, west how far apart were the two cities
Answer:
78 miles
Explanation:
The average velocity of the bus is given by:
[tex]v=\frac{d}{t}[/tex]
where
d is the displacement (the distance between the two cities)
t is the time taken
In this problem, we have
t = 1.5 h
v = 52 mph
So, we can solve the formula to find d, the distance between the cities:
[tex]d=vt=(52 mph)(1.5 h)=78 mi[/tex]
Two billiard balls of equal mass undergo a perfectly elastic head-on collision. if the speed of ball 1 was initially 2.00 m/s, and that of ball 2 was 3.00 m/s in the opposite direction, what will be their speeds after the collision? ball 1
The final velocity of the first ball is 3 m/s and the final velocity of the second ball is 2 m/s in opposite direction.
The given parameters;
mass of the billiard balls = minitial speed of the first ball, u₁ = 2 m/sinitial speed of the ball u₂ = 3 m/sApply the principle of conservation linear momentum;
[tex]m_1u_1 \ + \ m_2u_2 = m_1v_1 + m_2v_2\\\\2m - 3m = mv_1 + mv_2\\\\-m = m(v_1 + v_2)\\\\-1 = v_1 + v_2[/tex]
Apply one-dimensional velocity;
[tex]u_1 +v_1 = u_2 + v_2\\\\2 + v_1 = -3 + v_2\\\\5 + v_1 = v_2[/tex]
From the first equation, the values of the final velocity is calculated as follows;
[tex]-1 = v_1 + 5 + v_1\\\\-1 = 2v_1 + 5\\\\-6 = 2v_1\\\\v_1 = -3 \ m/s[/tex]
then, v₂ = 5 - 3 = 2 m/s
Thus, the final velocity of the first ball is 3 m/s and the final velocity of the second ball is 2 m/s in opposite direction.
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how high a hill would a 75 kg hiker has to climb to increase her gravitational potential energy by 10000 j
Answer:
[tex]13.60 \ m[/tex]
Explanation:
Given that,
Mass of the hiker is 75 kg
The gravitational potential energy by 10000 J
To solve :
The height of the hill.
Solve :
The gravitational potential energy of object , [tex]G=10000\ J[/tex].
Also, Mass of hiker, [tex]m=75 \ kg.[/tex]
Now,
The relation between Gravitational potential energy (G) and Mass of object (M) is given as:
[tex]G=m\times g \times h.[/tex]
Where , g is acceleration due to gravity, [tex]g=9.8\ m/s^2.[/tex].
Putting , values of G, g and m in above equation.
We get, [tex]10000=75\times 9.8 \times h\\\\h=\dfrac{10000}{75\times 9.8} \ m\\\\h=13.60\ m[/tex]
Hence , this is the required solution.
Two important economic activities in Norden are _____.
The Answer is:
Agriculture and Fishing
please help! Will mark best answer!!
A brother and sister are riding on a merry-go-round at the park. the brother rides on the outer edge of the merry-go-round and the sister rides closer to the center. while the merry-go-round rotates with a constant angular velocity, who has the greatest centripetal (radial) acceleration?
The brother on the outer edge of the merry-go-round experiences greater centripetal acceleration due to the larger radius of his circular path.
The brother riding on the outer edge of the merry-go-round will experience greater centripetal acceleration than his sister who is positioned closer to the center. This is because centripetal acceleration depends on both the angular velocity and the radius of the path of the moving object. Since both are riding on the same merry-go-round and thus have the same angular velocity, the one farther from the center (the brother) has a larger radius, and therefore a greater centripetal acceleration.
ow long must a simple pendulum be if it is to make exactly ten swings per second? (That is, one complete vibration takes exactly 0.200 s.)
Why is it important for scientists to replicate each other’s experiments?
Answer:
A. To determine if the scientific results are repeatable
Explanation:
Which of the following can influence one???s ability to detect stimuli and increase one???s responsiveness to stimuli in dangerous situations?
A.
stimuli criteria
B.
response criteria
C.
difference threshold
D.
detection threshold
Answer: B response criteria
The one that can influence ones ability to detect stimuli and increase responsiveness to stimuli in dangerous situations is response criteria. The correct option is B.
What is stimuli?Stimulus is defined as any event or change in the external environment that causes a specific functional response in an organ or tissue.
The stimulus can be both internal and external. External stimuli such as sound and touch are detected by sense organs such as the ear and sensory receptors such as those in the skin.
A stimulus is an energy change (e.g., light or sound) that is registered by the senses (e.g., vision, hearing, taste, etc.) and serves as the foundation for perception in perceptual psychology.
A stimulus serves as the foundation for behavior in behavioral psychology (classical and operant conditioning).
Response criteria are those that can influence one's ability to detect stimuli and increase responsiveness to stimuli in dangerous situations.
Thus, the correct option is B.
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How much time does it take a power drill accelerating at 64.3 rad/s2 to achieve 1500. rotations per minute(RPM)?
Jodie sets two objects on a flat surface. Object A has a mass of 50g, while object B has a mass of 250g. Jodie pushes both objects with the same force and watches them speed up. Which object will speed up more? A. They speed up the same amount. B. Object B speeds up more. C. Object A speeds up more. D. Neither object speeds up.
Object A speeds up more