The minimum velocity the roller-coaster need when going over the 12 m to make it to the top of the 30 m hill is equal to 18.78 m/s. Therefore, option (D) is correct.
What is the law of conservation of energy?Energy can be transformed from one to another but can neither be created nor destroyed. Energy is present in nature in several forms such as heat, nuclear energy, electricity, chemical energy, and so on.
If every form of energy is considered, then the total energy of an isolated system remains constant. This law of energy applies to all types of energy in our universe.
From the law of conservation of energy, the energy of the roller-coaster goes:
[tex]{\displaystyle \frac{1}{2} mv^2 +mgh_1 = mgh_2[/tex]
Given the height of the first hill, h₁ = 12m
The height of the second hill, h₂ = 30 m
The gravitational acceleration, g = 9.8 m/s²
We can find the value of the minimum velocity of the roller-coaster from the above equation:
[tex]{\displaystyle \frac{1}{2} v^2 +gh_1 = gh_2[/tex]
0.5 × v² + (9.8) × 12 = (9.8) × 30
0.5 v² = 176.6
v = 18.78 m/s
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find the ratio of turns on the primary coil to turns on the secondary coil in a transformer that will stop the 110v household voltage down to 4.1 v .
Ratio of turns on the primary coil is 26
Briefing
So to solve for this problem this is computed by the following steps
Vp/Vs (=Np/Ns)
Briefing
Where;
Vp = Voltage primary
Vs = Voltage Secondary
Np =Turn ratio primary
Ns = Turn ratio Secondary
So plugging in our Valves
110/4.1 =Np/Ns
Np/Ns= 26.82
So the answer is 26 Coils
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Supose 1.3 Kg of water are heated from 20 °C to 80 °C. How much energy was transferred to the
water?(Water Specific heat capacity is 4184 J/Kg-°C).
Answer:
Q = (80 - 20) deg C * 1.3 kg * 4184 J / (deg C kg) = 326,000 Joules
Michael uses his bike to apply 494 N to himself and the bike by pedaling as he approaches a 1.9 m tall ramp which is 3.4 m away. What work does the Michael do on himself and the bike he is riding?
A baker pushes a cart full of rolls with a force of 20.0 N for a distance of 4.0 m. How much work does the baker do on the cart?
Answer:
80
Explanation:
You calculate work by W(j)=Force(n) x distance moved (m)
So 20.0 N x 4.0 m = 80.
:)
The work done when a baker pushes a cart full of rolls with a force of 20.0 N for a distance of 4.0 m is 80 Nm.
What is Work done?
The work done by a force can be defined as the product of the displacement of that object and the component of the applied force of the object which is in the same direction as that of displacement. When we push a block with some force 'f' and the body moves with some acceleration, work is done.
W = f × d
where, W = work done,
f = applied force,
d = displacement of the object
W = 20N × 4.0m
W = 80Nm
Therefore, the work done by the baker on that cart is 80 Newton meters.
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It takes 8. 0 seconds for 12 coulombs of charge to flow through a wire. How much current is flowing through it? 0. 67 a 1. 5 a 4. 0 a.
if a motorcycle with a mass of 250 kg has a kinetic energy of 200,000 j, what is the motorcycle's speed in m/s?
The motorbike travels at a speed of 40 m/s
What is speed?the speed at which an object's location changes in any direction. The distance traveled divided by the time it took to travel that distance indicates how fast something is moving.
Describe kinetic energy.Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object.
KE = ½ m[tex]V^{2}[/tex]
We have kinetic energy of 200,000 j, mass of 250 kg , so to fine [tex]v^{2}[/tex]
using KE = ½ m[tex]V^{2}[/tex]
kinetic energy will be multiply by 2 and divided by mass
[tex]v^{2}[/tex]= KE / 1/2 * m
[tex]v^{2}[/tex] = 200000 * 2 / 250
[tex]v^{2}[/tex] = 1600
v = [tex]\sqrt{1600}[/tex]
v = 40 m/s
The motorbike travels at a speed of 40 m/s
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if 8.0 mg of a radioactive substance naturally decays to 0.50 mg over 184 days, what is the half-life of the radioisotope?
46 days is the half-life of the radioisotope.
What is half life of a radioactive substance?The half-life, in radioactivity, is the amount of time needed for half of the atomic nuclei in a radioactive sample to spontaneously transform into other nuclear species while emitting particles and energy, or, alternatively, the amount of time needed for the radioactive sample to disintegrate on average once every second.
The half life of a radioactive substance can be predicted by:
N(t) = N₀(1/2)^[t/t(h)]
N(t) is the amount remaining (mg)
N₀ is the initial amount (mg)
t is the time elapsed, in days
t(h) is the half life in days.
N(t) = N₀(1/2)^[t/t(h)]
or, 0.50mg = (8.0mg)(1/2)^[184 days/t(h)]
Using logs, we can solve this for t(h):
t(h) = 46 days
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Car 1 has a body made from aluminium and car 2 has a body made from steel. Which car is likely to be more prone to corrosion?.
The car that will be more prone to corrosion is the aluminium car (Car1)
What is corrosion?Corrosion is when a refined metal is naturally converted to a more stable form such as its oxide, hydroxide or sulphide state this leads to deterioration of the material.
Most metals are easily oxidized I.e they tend to lose electrons to oxygen or other substances in the air or in water. As oxygen is reduced (gains electrons), it forms an oxide with the metal.
Both aluminium and steel do not rust but steel has better edge to aluminium in resistance to corrosion because steel has chromium which gives it a protective film and excellent corrosion resistance. Moreover steel is non porous substance.
Therefore the aluminum car will be more prone to corrosion.
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A car, ma 1225 kg, traveling at 105 km/h, low to a top in 53 m. What i the ize of the force that acted on the car
Answer:9700 N
Explanation: i js know
What is the acceleration of a 5,000 kg airplane if the plane has four engines that each
have a thrust force of 500N?
The acceleration of the airplane of mass 5000 kg is 0.1 m/s².
What is acceleration?Acceleration is the rate of change of velocity.
To calculate the acceleration of the airplane, we use the formula below.
Formula:
a = F/m.................. Equation 1Where:
F = Forcea = Acceleration m = MassFrom the question,
Given:
F = 500 Nm = 5000 kgSubstitute these values into equation 1
a = 500/5000a = 0.1 m/s²Hence, the acceleration is 0.1 m/s².
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Should the graphs of Weight vs. Forces of Friction of the shoes be linear? Explain.
Weight being X and Forces of Friction being Y
Graph of weight vs. forces of friction of the shoes would be linear. Greater is the weight (X) of shoes, greater is friction (Y) between the object and the surface on which the object is kept.
What is the graph pf weight vs force of friction?Given let weight being X and forces of friction being Y.
As we know that the gravitational force is equal to mass multiplied by acceleration due to gravity. When mass increases, weight of the shoes (X) increases, therefore normal force increases and so friction (Y) also increases.
Friction is directly dependent on the weight acting between two surfaces. When the mass is more, weight will be more and hence friction will also be more.
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a ball has a diameter of 3.81 cm and average density of 0.0835 g/cm3. what force is required to hold it completely submerged under water?
Force required to hold ball completely submerged under water is calculated as 0.257 N.
What is buoyant force?Net upward force on any object in any fluid is called buoyant force . If buoyant force is greater than the object's weight, then the object will rise to the surface and float.
Given, ρ1 = 0.0835 g/cm3 and ρ2 =1g/cm3)
and radius = 3.81/2 cm = 1.9 cm
As, the volume of sphere = 4/3 π r3
and mass of sphere = 4/3 π r3 ρ1
So, weight of the sphere is 4/3 π r3 ρ1 g
Volume of water displaced = 4/3 π r3
As we know, buoyant force = 4/3 π r3 ρ2 g
= 4/3 π * 1.9 * (1-0.0835) *9.81
= 257.66 * 10^-3
F = 0.257 N
Force required to hold it completely submerged under water is 0.257 N
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a stone is thrown straight upwards with a velocity of 6.38 m/s, starting from 1.63 m above the ground. how long does it take the stone to reach the ground? g
The time taken for the stone to reach the ground when it is thrown above the ground is 0.57 s.
Given that,
Velocity of the stone = 6.38 m/s
Height above the ground = 1.63 m
The time t at which the stone's vertical position y(t) becomes zero is the amount of time it takes for it to fall to the earth.
It is given by the formula, y(t) = 1.63 - 1/2* 9.81* t² = 0
1.63 - 4.9 t² = 0
4.9 t² = 1.63
t² = 1.63/4.9 = 0.33
t = 0.57 s
Thus, the time taken by the stone to reach the ground is 0.57 s.
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Economics is all about decision making and allocation. Without ___ there would be no need for economics.
a Choices
b. Self-interest
c. Supply
d. Microeconomics
The process of selecting the optimal action to take from a multitude of possibilities can be characterized as decision making.
Meaning of making decisions:
The basic goal of managerial economics is decision-making. The process of choosing the best course of action from among multiple alternatives can be referred to as decision-making. Whenever there are numerous options, decision-making becomes a challenge.
Decision Making and Economics
Well, making decisions affects everyone's life; they are not just for executives or the corporate sector. Whether a person is employed or jobless, making decisions is important to everyone. Regardless of the work you are now doing, a choice needs to be made. You have several choices to make as a participant.
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A rubber block weighing 40.0 newtons is resting on a horizontal level surface of dry concrete. What is the magnitude of the minimum force needed to start the rubber block moving across the dry concrete?
The minimum force to start the block moving is 40N
What is limiting frictional force?Limiting friction occurs when the moving force and the force opposing motion are equal,any addition to the moving force will cause slipping. The limiting frictional force is proportional to the normal reaction between the contacting surfaces and is independent of the area of contact.
Therefore for an object to be stationary, the moving force is equal to force opposing it. In these scenario the minimum force to move a stationary object must be equal to the weight of the object. The weight of the object is 40N.
Therefore the minimum force to move the block is 40N.
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A 16.0 kg canoe moving to the left at 10 m/s makes a head-on collision with a 19.0 kg raft moving to the right at 7.0 m/s. After
the collision, the canoe moves to the right at 1 m/s. What is the velocity of the raft after the collision?
Answer:
Approximately [tex]2.3\; {\rm m\cdot s^{-1}}[/tex] to the left.
Explanation:
When an object of mass [tex]m[/tex] travels at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object will be [tex]p = m\, v[/tex].
Denote motions to the right with a positive sign.
Before the collision:
Velocity of the canoe was [tex](-10)\; {\rm m\cdot s^{-1}}[/tex] since the canoe was moving to the left (opposite to the positive direction.) Momentum of the canoe was [tex]p(\text{canoe, before}) = (16.0\; {\rm kg})\, (-10\; {\rm m\cdot s^{-1}}) = 160\; {\rm kg \cdot m\cdot s^{-1}}[/tex].Velocity of the raft was [tex]19.0\; {\rm m\cdot s^{-1}}[/tex] since the raft is moving to the right (towards positive direction.) Momentum of the raft was [tex]p(\text{raft, before}) = (19.0\; {\rm kg})\, (7.0\; {\rm m\cdot s^{-1}}) = 133\; {\rm kg \cdot m\cdot s^{-1}}[/tex].After the collision:
Velocity of the canoe becomes [tex]1\; {\rm m\cdot s^{-1}}[/tex] (to the right, towards the positive direction.) Momentum of the canoe becomes [tex]p = (16.0\; {\rm kg})\, (1\; {\rm m\cdot s^{-1}}) = 16.0\; {\rm kg \cdot m\cdot s^{-1}}[/tex].Velocity of the raft after the collision needs to be found.Immediately after the collision, momentum [tex]p[/tex] of the canoe and the raft will be conserved. In other words:
[tex]\begin{aligned}& p(\text{canoe, before}) + p(\text{raft, before}) \\ =\; & p(\text{canoe, after}) + p(\text{raft, after})\end{aligned}[/tex].
Rearrange to find [tex]p(\text{raft, after})[/tex] (momentum of the raft immediately after the collision.)
[tex]\begin{aligned}& p(\text{raft, after}) \\ =\; & p(\text{canoe, before}) \\ & + p(\text{raft, before}) \\ & - p(\text{canoe, after}) \\ =\; & (-160\; {\rm kg \cdot m\cdot s^{-1}}) \\ &+ (133\; {\rm kg \cdot m\cdot s^{-1}}) \\ & - (16.0\; {\rm kg \cdot m\cdot s^{-1}}) \\ =\; & (-43)\; {\rm kg \cdot m\cdot s^{-1}} \end{aligned}[/tex].
(Momentum of the raft is negative since the raft is moving to the left, away from the positive direction.)
Divide the momentum of the raft by the mass of the raft to find the velocity of the raft:
[tex]\begin{aligned} \frac{(-43\; {\rm kg\cdot m\cdot s^{-1}})}{(19.0\; {\rm kg})} \approx (-2.3)\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
Energy is an essential part of our daily lives, but the resources that power the earth are being threatened. Imagine a world where people didn't know how to generate energy. What do you think that world might be like? describe your answer in 4-6 sentences.
If we are not able to produce energy anymore, civilization would come to a stand still.
What is energy?We know that the term energy has to do with the ability to do work. Thus we know that a lot of the processes that occur on the earth does require energy so that it would be able to occur.
Energy has become the pivot of modern civilization. Without the ability to produce energy, we can not be able to have a comfortable life and life on the earth would be found to become quite unbearable.
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when the boy realizes he is late for dinner. he doubles his acceleration. whats the forcethat the boy is pulling the wagon now.
When the boy realizes he is late for dinner, he doubles his acceleration. The force that the boy is pulling the wagon now will also be doubled.
What is Newton's first law?
Unless influenced by an imbalanced force, an item at rest stays at rest, and an object in motion keeps moving in a straight path at a constant pace.
An item that is stationary is one that is not shifting or considered the beginning. In such posture, all the forces exerting pressure on it are balanced out or their combined magnitudes are zero.
Based to their inertia, stationary objects which have already balanced forces acting on them prefer to stay that way. When an unbalanced force is operating on a stationary item will it move.
As we continuously increases the force some particular object the acceleration also increases proportionally. so, the mass does not change as the acceleration increases, we can say that force that the boy is pulling the wagon is equal to acceleration. Therefore, if the boy double the force double the acceleration.
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In the ingle particle he'll model the ground tate of a nucleu with an odd proton and neutron i determined from
The spin of the odd particle, which can be inferred by counting energy levels up to the Fermi level, determines the ground-state spin of the nucleus.
What is proton and neutron?A positive-charged subatomic particle is known as a proton. Protons are held together in the atom's nucleus by the strong nuclear force. The neutron is a type of subatomic particle without charge.
subatomic particles with a positive charge that live in the nucleus. Neutrons: Subatomic particles with a neutral charge that are found in the nucleus. Electrons: Subatomic particles with a negative charge that are present in the electron shells that enclose the nucleus.
What is the relationship of protons and neutrons?The positive charge proton have a propensity to reject one another, but the neutrons keep the nucleus together. The quantity of protons determines the atomic number, and the sum of the protons and neutrons determines the atomic mass. The atomic mass of hydrogen is 1, as there is just one proton and no neutrons in the material.
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unpolarized light is passed through two successive polaroid filters, each with its transmission axis at 45.0° to the preceding filter. what percentage of light energy gets through?
The amount of light that passes through the three Polaroid filters in order is 12.5%.
Does "light" imply "not heavy"?Light is an adjective that describes something that isn't weighty, cumbersome, or depressing. A conversation topic or a music piece are both examples of things that can be considered light. The weight is light even though the trip is long, for instance.
Angle of transmission axis; θ = 45°
Formula for intensity of light from first polarizer is;
I₁ = ¹/₂I₀
Formula for intensity of light from second polarizer is;
I₂ = I₁cos²θ
Formula for intensity of light from third polarizer is;
I₃ = I₂cos²(90 - θ)
Combining the 3 equations;
Put ¹/₂I₀ for I₁ in second formula to get;
I₂ = ¹/₂I₀cos²θ
Put ¹/₂I₀cos²θ for I₂ in third formula to get;
I₃ = ¹/₂I₀cos²θ*cos²(90 - θ)
Plugging in 45° for θ gives;
I₃ = ¹/₂I₀cos²45*cos²(90 - 45)
⇒ I₃ = ¹/₂I₀cos²45*cos²45
⇒ I₃ = ¹/₂I₀cos⁴45
Now, cos 45 in surd form is 1/√2. Thus;
I₃ = ¹/₂I₀(1/√2)⁴
I₃ = ¹/₂I₀(¹/₄)
I₃ = ¹/₈I₀
I₃/I₀ = ¹/₈
I₃/I₀ = 0.125
In percentage form, we have;
I₃/I₀ = 12.5%
Why is light such an effective symbol?Light is a universally recognized metaphor for knowledge and rational reasoning; it is the antithesis of darkness or ignorance. The dark is almost usually thought to be ominous and dangerous, connected with things that cannot understand. According to legend, light dispels darkness and creates order from chaos.
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What is the current through this circuit?
Answer: 1.25 A
Explanation:
I = R/V (Ohm's Law)
I = 150 Ω / 120 V = 1.25 A
which two measurements are needed in order to calculate the speed of an object in motion?
The two measurements, which are needed in order to calculate the speed of an object in motion, be: amount of distance travelled at a particular time interval and the time interval.
what is speed?The pace at which an object's position changes in any direction is what is meant by speed.
Speed is measured as the ratio of the distance traveled to the time it took to cover that distance. Speed is a scalar quantity since it just has a direction and no magnitude. Be meter/second is the SI unit of speed.
The equation, s = d/t, offers the speed formula.
Where,
s is the speed in m.s⁻¹
d is a representation of the distance in m.
The duration in s is t.
your question is incomplete, but most probably your full question was
Which two measurements are needed in order to calculate the speed of an object in motion?
Distance and time
Time and mass
Force and distance
Volume and time
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The compound formed has a(n) ___________ bond and is a(n) _________________. Responses
Answer:
The compound formed has ionic bonds and is a crystalline solid
Explanation:
A metal plus a nonmetal chemical combine to form an ionic compound, with ionic bonds
2. Calculate the acceleration of a school bus when a force of 2000 N is applied. The mass is
1000 kg.
Answer:
2m/s square
Explanation:
this means force is the product of mass and acceleration.so a=f/mA=2000N/1000kg A=2m/s squarewhere a is acceleration f is force and m is massThe coefficient of static friction between a 17 Kg table and the floor is 0.50. What is the maximum force that can be applied to the table before it starts to slide?
Answer:
Below
Explanation:
Normal force = mg = 17(9.81)
force of friction = normal force * coefficient of static friction
= (17* 9.81 * .5) = 83.4 N
Bicycle
Bicycle A
Bicycle B
Bicycle C
Bicycle D
Mass (kg)
10 kg
14 kg
18 kg
20 kg
Which vehicle has the greatest acceleration? Why?
Force (N)
45 N
45 N
45 N
45 N
(When it says the labels and info, it’s a table)
Answer:
10
Explanation:
as f=ma
if you make a the subject it becomes f/m=a so when the denominate increases the answer increases
A 213 kg crate slides 7.6 m until coming to a stop after being pushed by a large man.
The effective coefficient of kinetic friction between the crate and the surface is 0.37.
Calculate the work done by friction.
A)1,133.16 J
B)772.34 J
C)2,087.4 J
D)5,869.78 J
Answer:D
Explanation:
Perhaps you have imagined digging a
tunnel through the earth that comes out the other side. Figure it out ...
How many miles would you have to dig? (Don’t forget to add on the other
side!)
(this is 6th grade science) (;-;)
3,958 miles miles would you have to dig
What is miles?The mile, sometimes the best of international mile or statute mile to distinguish it from the other miles, is a British imperial unit and United States customary to know unit of to the relative distance; both are based on to the older English unit of to the length equal to 5,280 English-english feet, or 1,760 yards.
Well, it depends what you mean by “bottom.” Earth is the ball, so if you wanted to dig in to the center of it, it's 3,958 miles. But if you wanted to dig all the way throughs and pop out the other side, it's twice as far, or 7,916 miles.
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star formation occurs in the halo rather than the disk because there is more visible material in the halo. true false
Star formation occurs in the halo rather than the disk because there is more visible material in the halo this statement is false. The galaxy's disk, which is mostly made of gas, is where stars are formed.
What environment is star creation in?Formation of stars. Molecular clouds, which are relatively dense collections of interstellar gas and dust, are where stars are born. These areas are quite chilly (temperature about 10 to 20K, just above absolute zero). Gases become molecular at these temperatures, which means that atoms are bound together. As a result of the disk's abundance of gas and dust, vigorous star formation occurs there. The spiral arms of the galaxy are where stars develop.
What distinguishes our galaxy's halo and disk populations of stars?All the gas and the young stars are in the disk, but there are also some ancient stars. An aggressive core and elderly stars dominate the bulge. Globular clusters and extremely ancient stars can be found in the halo. An indication of how the Galaxy formed can be found in the cause of this division of star kinds.
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Which surfaces tend to have the largest and smallest coefficients of friction? Explain why.
Ice on steel has low coefficient of friction whereas rubber on pavement has high coefficient of friction. Object such as silicone rubber can have a coefficient of friction much greater than one.
Which surfaces have the largest and smallest coefficients of friction?Polytetrafluoroethylene has the lowest friction coefficient of any solid-state material but the coefficient of friction depends on the materials used.
Ice on steel has a low coefficient of friction as the two materials slide past each other very easily whereas rubber on pavement has a high coefficient of friction that is the materials do not slide past each other easily. We can say that rougher surfaces have a higher coefficient of friction.
Coefficient of friction more than one means that the frictional force is stronger than the normal force. An object such as silicone rubber, for example, can have a coefficient of friction much greater than one.
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