The height of the ball thrown off a building can be modeled by the quadratic function where h is the height of the ball in feet and t is the time in seconds, the function can be written as follows:
\(h(t) = -16t^2 + vt + h.\)
The ball will hit the ground when the height of the ball is equal to zero. We are given the following initial conditions:
- Initial height of the ball (h): 10 feet
- Initial velocity of the ball (v): 60 feet per second
Using the quadratic formula, where
a = -16,
b = v,
and c = h, we can solve for the time (t):
\(t = (-b ± √(b^2 - 4ac)) / (2a)\)
Substituting the values into the formula:
\(t = (-v ± √(v^2 - 4(-16)(h))) / (2(-16))\)
\(t = (v ± √(v^2 + 64h)) / 32\)
After solving the equation, we find two roots:
t ≈ 3.63 seconds (positive root)
t ≈ -0.39 seconds (negative root)
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Explain why all living have genes and DNA but not all living things look the same. (Discuss, paragraph answers)
Answer:
All living organisms store genetic information using the same molecules DNA and RNA. Genes are maintained over an organism's evolution, however, genes can also be exchanged or "stolen" from other organisms.
Which one of the following statements concerning a convex mirror is true? Explain your choice. a) Such mirrors are always a portion of a large sphere. b) The image formed by the mirror is sometimes a real image. c) The image will be larger than one produced by a plane mirror in its place d) The image will be closer to the mirror than one produced by a plane mirror in its place e) The image will always be inverted relative to the object
Therefore, option c) is the correct statement since the image produced by a convex mirror is always smaller than the object and hence larger than one produced by a plane mirror in its place.
What is a convex mirror?A convex mirror is a spherical mirror with its reflective surface bulging outward, away from the incident light. It is also called a diverging mirror since it diverges the incoming light rays.
What type of image is formed by convex mirror?The image formed by a convex mirror is always virtual, meaning that it cannot be projected on a screen. It is formed by the apparent intersection of the reflected light rays, and it appears to be behind the mirror. Since the light rays are diverged by the convex mirror, the image produced is always smaller than the actual object. Hence, option e) is false.
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1. If some unimaginable calamity destroyed the Sun, using the astronomical unit for the Earth-Sun distance and the value for the speed of light above, how long would we still have light after the Sun ceased to exist? (5)
Answer:
8 minutes and 20 seconds
Explanation:
Average Distance between Earth and Sun: 150 million km = \(1.5 * 10^{8}\) km
Velocity of light: \(3 * 10^{8} \ m/s = 3 * 10^{5} \ km/s\)
Time = Distance/Speed
or Time = \(1.5 * 10^{8} \ km\) / \(3 * 10^{5} \ km/s\)
= 5 * 100
= 500 seconds
⇒ Time = 8 minutes and 20 seconds
Sarah weighs 392 N. She pushes a 56 kg rock with a force of 65 N. What force does the rock exert on Sarah?
Answer:
The force the rock exerts on Sarah =#is 65 N
Explanation:
The given parameters are;
Sarah's weight = 392 N
The force with which Sarah pushes the rock = 65 N
The mass of the rock = 56 kg
The weight of the rock = The mass of the rock × Acceleration due to gravity
∴ The weight of the rock = 56 kg ×9.81 m/s² = 549.36 N
Given that the force Sarah applies to push the rock = 65 N, then by Newton's third law of motion which states that action and reaction are equal and opposite, the force that the rock exert on Sarah is equal an opposite to the force Sarah is applying
Therefore, the force the rock exerts on Sarah = 65 N (in the opposite direction).
a boy pushes a book by applying force of 5 N find the work done by this force as the book is displaced through 20cm while pushing
Answer:
100 Ncm or 1 Nm
How to do:
Given:
Displacement (d): 20cm
Force (F): 5N
Want:
Work: ???
Equation:
W = Fd
Solve:
W = Fd
W = 5N x 20 cm
W = 100 Ncm
If you want it in meters (standard unit), just do unit conversions:
1 cm = 1 m/100 cm
20cm x 1 m/100 cm = 20/100 = 0.2m
W = 5N x 0.2m = 1 Nm
We all play on the roller coaster in playgrounds, but Ahmad suggested playing this game alone. Take point B as a reference level. Suppose Ahmad starts from rest at point A and moves downward towards point B. What happens to his gravitational potential energy as he moves downward?
Answer:
b
Explanation:
You lift a 10-kg box to a height of 1m. How much work do you do on the box when you lift it from the ground? (g= 9.81 m/s2)
Answer:
98.1 Joule
Explanation:
Solution,
⇒Mass(m)=10kg
⇒Weight(F)=Mg=10×9.81=98.1N
⇒Distance(d)=1m
Now,
Work done=F×d
=98.1×1
=98.1J
The work done on the box when lifting it from the ground is 98.1 Joules (J).
To calculate the work done on the box when you lift it from the ground, you can use the formula:
Work (W) = Force (F) × Distance (d) × cos(θ)
In this case, the force (F) is the weight of the box, which is equal to its mass (m) multiplied by the acceleration due to gravity (g):
F = m × g
F = 10 kg × 9.81 m/s²
F = 98.1 N
The distance (d) is the height you lift the box, which is 1 meter.
The angle (θ) between the force and the direction of motion is 0 degrees, as you are lifting the box straight up vertically.
Now, plug the values into the work formula:
W = 98.1 N × 1 m × cos(0°)
Since the angle cos(0°) is equal to 1, the work done on the box is:
W = 98.1 N × 1 m × 1
W = 98.1 Joules (J)
So, you do 98.1 Joules of work on the box when you lift it from the ground.
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What is the difference between liquid water and water vapor?
A.) They have different arrangements of atoms in their molecules.
B.) They differ in their number and types of atoms.
C.) They are different states of the same pure substance.
D.) They are different types of chemical compounds.
Answer:
C
Explanation: Water vapor can turn into liquid water when it cools and Liquid water turns into vapor when it heats
The only planet in the solar system with the temperature that can support life is
Answer:
earth
Explanation:
its the only planet.
Todd expends 400J while pushing a lawn mower across 20m. What force did he use to mow
the lawn? Show your work.
Answer:
F = 20 N
Explanation:
The work is said to be done when an object is acted upon by an external force. And as a result of this force the object is displaced by some distance. Hence, the formula for the work done is given as:
W = F*d
where,
W = Work Done = 400 J
F = Force Applied = ?
d = Distance Covered = 20 m
Therefore, using these values in equation, we get:
400 J = F(20 m)
F = 400 J/20 m
F = 20 N
what energy comes from electric charge, which is one of the fundamental properties of all matter
Answer:
A physical property of matter is electric charge. It is caused by an imbalance in the number of protons and electrons in a material. Whether there are more protons than electrons in a substance, it is positively charged if there are more electrons than protons, it is negatively charged.
Explanation:
a hydraulic jack has an input piston of area 0.0540 m2 and an output piston of area 0.710 m2. how much force (in n) on the input piston is required to lift a car weighing 1.80 ✕ 104 n?
Approximately 1377.46 N of force is required on the input piston to lift the car weighing 1.80 × \(10^{4}\) N.
The force required on the input piston of the hydraulic jack can be calculated using the principle of Pascal's law, which states that the pressure exerted in a fluid is transmitted equally in all directions.
The ratio of the output force to the input force is equal to the ratio of the output piston area to the input piston area:
Force (output) ÷ Force (input) = Area (output) ÷ Area (input)
We can rearrange this equation to solve for the input force:
Force (input) = Force (output) × (Area (input) ÷ Area (output))
Given that the weight of the car is 1.80 × \(10^{4}\) N, the output force is 1.80 × \(10^{4}\) N. The input piston area is 0.0540 \(m^{2}\), and the output piston area is 0.710 \(m^{2}\).
Plugging these values into the equation, we have:
Force (input) = (1.80 × \(10^{4}\) N) × (0.0540 \(m^{2}\) ÷ 0.710 \(m^{2}\))
Simplifying the expression gives us:
Force (input) ≈ 1377.46 N
Therefore, approximately 1377.46 N of force is required on the input piston to lift the car weighing 1.80 × \(10^{4}\) N.
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1) What is the difference between force and net force on an object
Answer:
Net force is the sum of all the forces.
Explanation:
Force is the push or pull that causes acceleration.
Net force is the sum of all the forces acting on an object
The outcome is a force when an external force pushes or pulls on one thing as it interacts with another object. On the other hand, there won't be any evidence of force if both objects are imprisoned in one location and there isn't any outside pressure.
For example,
When Mathew pushes an automobile, they provide force to the vehicle while dissipating energy; this is shown by the fact that Mathew pushes the car with an 8 Newton (8 N) force.
The amount of force acting on an item from both sides is known as a net force whenever several forces are present, regardless of the direction they are acting from.
The resultant force is another term for this force.
For example,
James pulls a rope from one side, while Thomas pulls a rope from the other, such that a force is exerted on the rope from both sides. This pulling force from both sides is referred to as Net force.
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What makes up an atom and where are they located?
An atom is the smallest unit of matter that has the properties of a particular chemical element. Atoms are made up of three types of particles: protons, neutrons, and electrons.
Protons and neutrons are located in the nucleus, while electrons are found in orbitals surrounding the nucleus.
The positively charged protons and the uncharged neutrons are located in the centre of the atom, which is the nucleus. The negatively charged electrons are located in shells surrounding the nucleus.
The nucleus makes up the vast majority of an atom's mass.
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a cyclist must travel 800 km. How many day will the trip take if the cyclist travels 8 h/day at an average speed of 16 km/h ?
16 km/h x 8 h = 128 km per day
800 km / 128 km per day = 6.25 days
it will take 6 1/4 days
What does motion mean
Answer:
Motion:
Motion is when an object is changing position with respect to its surrounding.
Example:
=> A cyclist riding a cycle (cyclist is in motion.)
=> Fan moving (fan is in motion.)
\(\rule[225]{225}{2}\)
Hope this helped!
~AH18079. Yellow light with a wavelength of 5.89 x 107 m travels through quartz glass with a speed of 1.94 × 10³ m/s.
What is the frequency of the light?
According to this equation, so f = 3.29 x 1014 Hz. The light therefore has a frequency of 3.29 x 1014 Hz. The wavelength range of visible light is roughly 400–700 nm, and its frequency range is roughly 400–800 tHz.
What frequency does an LED light operate at?The frequencies used by white LED lighting devices are a combination of 474 terahertz, 535 terahertz, and 638 terahertz. White LED technology has made it possible to create inexpensive, energy-efficient lighting that may be utilised in a range of applications, from desk lamps to street lamps.
What exactly is light's energy?The capacity to render different kinds of light visible for human sight makes light energy a type of kinetic energy. Light is referred to as an electromagnetic radiation that is produced by hot objects like the sun, lasers, and lightbulbs. Photons, which are tiny energy packets, are present in light.
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HELP ME PLZ!!!!! I'LL DO ANYTHING!!!!
First find the diameter of each.
Jupiter’s diameter is 86,881 mi.
Earth’s diameter is 7,917.5 mi.
Then divide those two.
Rounded, Jupiter is 11 times larger.
unrounded: 10.9732870224186927691821913482791285127
Finding out how large something is compared to something can be done by dividing.
For example I have two dogs. One dog is 3 feet tall. The other is 2 feet tall. How much taller is dog one? Dog one is 1.5 times larger because 3/2 = 1.5 AND 2 x 1.5 = 3.
So for this case multiplying Earth’s diameter by 10.9732870224186927691821913482791285127 will give you Jupiter’s diameter.
How can you determine the velocity of a runner from a position time graph?
Answer:
below
Explanation:
The slope of the position-time graph is the velocity at any point in time
Si la rapidez del sonido en el agua es de 1450 m/s. ¿Cuánto tiempo tardará en recorrer 500 m en el fondo del lago?
Answer:
2.9
Explanation:
es 2 minutos con 9 segundos seria algo así (1450)÷(500)
In one sentence describe how modeling is used in science
Answer:
Modeling is used in science to simplify complex systems and phenomena, allowing scientists to make predictions and test hypotheses.
Explanation:
If a lens has a focal length of 5 cm and an image is projected from an object that is 8cm from the lens, what is the image distance?
Answer:
image distance = 40/13=3.08 cm
Explanation:
The relation of the object distance, image distance, and the focal length of a lens.
1/f =1/v -1/u
v = distance of the image from the lens.
u = distance of the object from the lens.
f = the focal length of the lens.
therefore,
1/5= 1/v -1/8
1/5+1/8=1/v
(8+5)/40=1/v
13/40=1/v
v=40/13 cm
v=3.08 cm
during photosynthesis what energy is being transformed
Answer:
During photosynthesis the following energy are transformed:
1:Light energy
2:gas
3:water
Why can we hear sounds outside of a door when music is playing on the inside?
What factor will control whether or not the universe keeps expanding or eventually starts to contract
To answer what factor will control whether or not the universe keeps expanding or eventually starts to contract.
The factor that will control whether or not the universe keeps expanding or eventually starts to contract is the amount of matter and energy in the universe. If there is enough matter and energy, the gravitational pull will eventually cause the expansion to slow down and stop, and the universe will begin to contract. However, if there is not enough matter and energy, the expansion will continue indefinitely. Scientists are still studying the composition of the universe to determine whether or not there is enough matter and energy to cause a contraction.
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A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $0.80, and each Type B souvenir will result in a profit of $1.60. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine 1 and 3 minutes on Machine II. There are 2 hours available on Machine I and 5 hours available on Machine 11. (a) For a meaningful solution, the time available on Machine II must lie between 90 X and x min. (Enter your answers from smallest to largest.) (b) If the time available on Machine II is changed from 300 min to (300 + k) min, with no change in the maximum (150 - A) capacity for Machine 1, then Ace Novelty's profit is maximized by producing Type A souvenirs 540 5 and 2(223+ *). 3 Type B souvenirs, where -225 1x ** $ 150 X X (c) Find the shadow price for Resource 2 (associated with constraint 2). (Round your answer to the nearest cent.)
The time available on Machine II must lie between 1 minute and 3 minutes. The shadow price for Resource 2 (associated with constraint 2) is $3 per minute.
(a) To determine the range of available time on Machine II, we need to consider the constraints provided. The time available on Machine II must be between the time required for Type A souvenirs and the time required for Type B souvenirs.
Time required for Type A souvenir on Machine II: 1 minute
Time required for Type B souvenir on Machine II: 3 minutes
Therefore, the time available on Machine II must lie between 1 minute and 3 minutes.
The meaningful solution for the available time on Machine II is 1 min ≤ Machine II ≤ 3 min.
(b) To maximize the profit, we need to determine the optimal production quantities for Type A and Type B souvenirs given a change in the available time on Machine II.
Let's assume the change in available time on Machine II is represented by k.
To maximize the profit, we need to find the production quantities that maximize the total profit. Let's denote the production quantity for Type A souvenirs as x and the production quantity for Type B souvenirs as y.
The objective function for the profit can be expressed as:
Profit = 0.80x + 1.60y
Subject to the following constraints:
2x + y ≤ 120 (Machine I constraint)
x + 3y ≤ (300 + k) (Machine II constraint)
Using linear programming techniques, the optimal solution will depend on the value of k.
The statement "Ace Novelty's profit is maximized by producing Type A souvenirs 540 5 and 2(223+ *). 3 Type B souvenirs, where -225 1x ** $ 150 X X" seems to be incomplete and unclear. The specific production quantities and profit cannot be determined without knowing the value of k.
(c) To find the shadow price for Resource 2 (associated with constraint 2), we can perform sensitivity analysis.
The shadow price represents the change in the objective function's value per unit increase in the availability of Resource 2 (Machine II in this case). We can determine it by evaluating the sensitivity of the objective function to changes in the constraint.
Since the constraint is x + 3y ≤ (300 + k), the shadow price associated with Resource 2 is the coefficient of the Machine II term, which is 3.
Therefore, the shadow price for Resource 2 (associated with constraint 2) is $3 per minute.
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A 2 column table with 4 rows. The first column is labeled substance with entries W, X, Y, Z. The second column is labeled temperature in degrees celcius with entries 40, 37, 19, 37.
Which statement is best supported by the data in the chart?
Answer:
B
Explanation:
Answer:
B. is the correct option! The person above was correct :)
Explanation:
Have a great day!
3 parts....challenging......
-Mitchell is making a diagram that compares balanced and unbalanced forces. Which of these characteristics would most likely describe unbalanced forces in Mitchell's diagram?
A. They cause an object to move.
B. They create a net force of 0 Newtons.
C. They result when no forces are acting on the object.
D. They result when equal and opposite forces act on an object.
Kyson enjoys doing many hobbies. If Kyson is experiencing a balanced force on his body doing one such hobby, which of these activities might he be doing?
A. walking his dog
B. running in a race
C. sitting and reading
D. swimming laps in a pool
A student is writing a short essay about forces for her science class. Which of the following statements can she use to describe the characteristics of all types of forces?
A. Forces act in pairs.
B. Forces only pull objects together.
C. Only one force can act on an object at a time.
D. Forces cause objects to move faster, but not slower.
In Mitchell's diagram, unbalanced forces cause an object to move.
Kyson is sitting and reading. The characteristics of all types of forces is: Forces act in pairs.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
For balanced force net force is zero and unbalanced force causes motion.
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when dr. hewitt cuts the broom right through the center of gravity, how do the weights of the two sides of the broom compare?
If Dr. Hewitt cuts the broom exactly through its center of gravity, then the weights of the two sides of the broom will be equal.
This is because the center of gravity is the point at which the weight of the object can be considered to be concentrated, and cutting the object at this point would result in two halves of equal weight.
However, it is important to note that if the broom is not perfectly symmetrical, the location of the center of gravity may not be at the exact physical center of the broom. In this case, Dr. Hewitt would need to locate the actual center of gravity of the broom and cut it at that point to achieve equal weights on each side.
Nonetheless, if the broom is cut exactly at its center of gravity, the weights of the two sides of the broom will be equal regardless of its shape or size.
Therefore, if the broom is cut exactly at its center of gravity, each half will have half the total weight of the broom.
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Most persons are of the belief that the old time hard or solid iron cars are much safer in collisions than the new model softer cars. But how can newer, softer cars be safer in a collision, considering momentum?