Answer: 400 m
Explanation:
Vf= 20 + (4*10)
Vf= 60 [m/s]
x= (60^2 - 20^2) / (2*4)
x= 400 m
If a roller-coaster car has 40,000 J of gravitational potential energy when at rest on the top of a hill, how much kinetic energy does it have when it is ½ of the way down the hill?
=============================================
Work Shown:
PE = potential energy
KE = kinetic energy
m = mass
g = acceleration of gravity
h = height of the object
PE = m*g*h = 40,000 joules
---------
If the car is halfway down the hill, then that means the height of the car is h/2 instead of h
We can then say:
m*g*(h/2) = (m*g*h)/2 = (40,000)/2 = 20,000 J
is the amount of potential energy at this location. The amount of kinetic energy must be the remaining amount that adds to this, to get 40,000 J again.
Put another way: The 40,000 J of PE to start off with, when KE = 0, means we have a total energy of 40,000 J
---------
So,
PE+KE = total energy
PE+KE = 40,000 J
20,000 J + KE = 40,000 J
KE = (40,000 J) - (20,000 J)
KE = 20,000 J when the car is halfway down the hill.
A positive charge is moving across a room from south to north. A magnetic field runs from east to west. In what direction is the magnetic force on the moving positive charge?
Answer:
the force is on the z axis, coming out of the blade
Explanation:
The direction of the magnetic force is given by the right hand rule,
For a positive charge, the thumb points in the direction of velocity, the other fingers extended in the direction of the magnetic field, and the palm points in the direction of force.
In this case.
Thumb points North
The fingers extended is in the east - west direction parallel to the blade
The palm is sticking out of the leaf, in the z direction
the answer is the force is on the z axis, coming out of the blade
Please do it to me thank alot
Answer:
See explanations below
Explanation:
For resistors in series, the will be added for those in parallel, we will take the sum of their reciprocal
A) 3 2ohms resistors in series
Equivalent resistance = 2 + 2 + 2
Equivalent resistance = 6ohms
B) 2 4 ohms resisstors in parallal
1/R = 1/4 + 1/4
1/R = 2/4
R = 4/2
R = 4ohms
Equivalent resistance is 2ohms
C) 4 ohms with in series with 8ohms = 4 + 8
Equivalent resistance = 4 + 8
Equivalent resistance = 12ohms
D) 4 ohms and 2 ohms in parallel is expressed as;
1/R = 1/4 + 1/2
1/R = 1+2/4
1/R = 3/4
R = 4/3
4/3 ohms in series with 6ohms
Equivalent resistance = 4/3 + 6
Equivalent resistance =4+18/3
Equivalent resistance = 22/3 ohms
what is point mutation ?
Answer:
A point mutation or substitution is a genetic mutation where a single nucleotide base is changed, inserted or deleted from a DNA or RNA sequence of an organism's genome.
Hope it helps u3) Which has more translational energy?
A)A person running at 8 mi/hr
B)A person walking at 4mi/hr
C)They both have the same amount of translational energy
D)Neither has any translational energy
Need help asap! you are the star soccer player and you are late to your game. Everyone is happy to see you and wants you to jump in and play. The safest thing to do in this situation is to
avoid the coach since you were late
go back home to avoid injury and ridicule
jump in and play to make up for being late
warm up your muscles before playing
Answer:
c and d
what i would do is ask the coach if you could take a minute to stretch and as soon as posible jump into the game
Explanation:
i play soccer lol
Answer: i'm pretty sure its warm up your muscles before playing
Explanation:
if you don't u get hurt.
A vector points -43.0 units
along the x-axis, and 11.1 units
along the y-axis.
Find the direction of the vector.
Answer:
Explanation:
To find the direction of this vector we need o find the angle that has a tangent of the y-component over the x-component:
[tex]tan^{-1}(\frac{11.1}{-43.0})=-14.5[/tex] but since we are in Q2 we have to add 180 degrees to that angle giving us 165.5 degrees
What does the geology of the two continents indicate about past events in Earth history?
Answer:
Explanation:
Rocks tell us a great deal about the Earth's history. Igneous rocks tell of past volcanic episodes and can also be used to age-date certain periods in the past. Sedimentary rocks often record past depositional environments (e.g deep ocean, shallow shelf, fluvial) and usually contain the most fossils from past ages.
Which of the following has the most kinetic energy?
A. A 25-kg fish tank sitting on a table
B. A 50-g fish swimming in a fish tank
C. A 7,500-kg car parked on a steep hill
D. A 50-kg Boulder suspended from a cliff
Answer:
The answer is B
Explanation:
Only things that are moving have kinetic energy, therefore B is the only correct answer
A small object is launched with a velocity 26.2 m/s at an angle 35.8 degrees above the horizontal from the top of a building with height 46.4 m. Air resistance is negligible during the motion of the object. How long (in seconds) does it take the object to reach the ground
Answer:
Explanation:
The angle here makes this a very interesting problem. We will use only the y-dimension information since we are given nothing pertinent in the x-dimension. Nothing there is useful to solving this problem. We are given (and know from experience) the following:
θ = 35.8°
v₀ = 26.2 m/s
Δx = -46.4 m
a = -9.8 m/s/s
t = ???
Time is our main unknown. The displacement is negative because, in the end, the small object will end up BELOW the point from which it is launched. That's important!!
Another thing we need to understand is that the velocity we are given is a "blanket" velocity; it is neither the upwards velocity nor the horizontal velocity. That's for us to find out using either cos or sin. In the y-dimension, we use the sin identity to find the upwards velocity (which is VERY different from the horizontal velocity {unless we are dealing with a 45 degree angle where sin and cos are the same}). So first we need to find the initial velocity in this dimension specifically:
26.2sin35.8 = 15.3 m/s
That's the initial velocity we will use in the problem now. The equation for this is:
Δx = v₀t + [tex]\frac{1}{2}at^2[/tex] and filling in the given info:
[tex]-46.4=15.3t+\frac{1}{2}(-9.8)t^2[/tex] It looks like this will have to be factored if we are going to solve for t. Get everything on one side and factor the resulting quadratic:
[tex]-4.9t^2+15.3t+46.4=0[/tex] and factoring that gives you 2 values for t:
t = -1.9 sec and t = 5.0 sec
Since we all know that time can NEVER be negative, t = 5.0 sec.
Ball 1 with an initial speed of 14 m/s has a perfectly elastic collision with ball 2 that is initially at rest. After, the speed of ball 2 is 21 m/s. What will be the speed of ball 2 if the initial speed of ball 1 is doubled
Answer:
"42 m/s" is the appropriate answer.
Explanation:
Given:
Initial speed of Ball 1,
= 14 m/s
Now,
If the initial speed of ball 1 is doubled, then the speed of ball 2 will be:
⇒ [tex](V_{fx})_2=\frac{2m_1}{m_1+m_2}(v_1x_1)[/tex]
hence,
Doubling ([tex]v_1x_1[/tex]) will double [tex](V_{fx})_2[/tex],
⇒ [tex](V_{fx})_2=2\times 21[/tex]
[tex]=42 \ m/s[/tex]
what is the pressure at 5000 km below the surface of the earth
Answer:
The centre of the earth is harder to study than the centre of the sun." Temperatures in the lower mantle the reach around 3,000-3,500 degrees Celsius and the barometer reads about 125 gigapascals, about one and a quarter million times atmospheric pressure.
Explanation:
The atmospheric pressure of earth is 1 atm. As the height decreases, the pressure of the surface increases. Pressure increases about one atmosphere for every 10 meter depth of earth surface and water, hence, the pressure at 5000 km below approximately equal to 500 - 1000 atm.
What is pressure ?Pressure of a region is the force acting per unit area. The atmospheric pressure is generated by the gases and dust particles. As the heights from the surface increases, the temperature decreases and pressure also decreases.
Thus, in lower altitudes the pressure will be higher. The standard unit of pressure is atm. The normal atmospheric pressure is 1 atm. Other units are bar, pascal, torr etc.
Pressure increases about one atmosphere for every 10 meter depth of earth surface and water, hence, the pressure at 5000 km below approximately equal to 500 - 1000 atm.
Find more on pressure:
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Ron weighs a bottle with a mass of 0.5 kilograms on a spring scale. The spring stretches by 1 centimeter. He then weighs a second bottle on the same spring scale. What is the mass of the second bottle, in kg, if the spring stretches by 2 cm
Answer:
1 kg
Explanation:
Applying,
Hook's law,
F = ke................. Equation 1
Where F = force, k = force constant of the spring, e = extension.
But from the question,
The weight of the bottle is the force acting on the spring scale
therefore,
mg = ke............ Equation 2
Where m = mass of the bottle, g = acceleration due to gravity.
make k the subject of the equation
k = mg/e............ Equation 3
Given: m = 0.5 kg, e = 1 cm = 0.01 m
Constant: g = 9.8 m/s²
k = (0.5×9.8)/0.01
k = 490 N/m
If the mass of the second bottle is weighed,
given: e = 2 cm = 0.02 m
subtitute into equation 1
m×9.8 = 490×0.02
9.8m = 9.8
m = 9.8/9.8
m = 1 kg.
Hence the mass of the second bottle is 1 kg
Lamar is testing several solutions to identify which ones are acids, which ones are bases, and which one is water. He hypothesizes that solution number 3 is water. For Lamar’s hypothesis to be supported by his data, which of the following pH values must solution number 3 be near? SC.8.N.1.3
A
1.0
B
9.0
C
7.0
D
12.0
What if the World turned to Gold?
Answer:
We would all freeze at close to absolute zero and gold will not be worth anything
Explanation:
The force between two charges is 1000 N. One has a charge of 2.0 x 10-5 C and one has a charge of 5.0 x 10-6 C. What is the distance between the charges?
Answer:
F= kq1q2÷r^2 r=√9x10^9 x 2.0 x 10^-5 x 5.0x 10^-6 ÷ 1000 ) the ansewer√300
Two rigid rods are oriented parallel to each other and to the ground. The rods carry the same current in the same direction. The length of each rod is 1.1 m, while the mass of each is 0.10 kg. One rod is held in place above the ground, and the other floats beneath it at a distance of 11 mm. Determine the current in the rods.
Answer:
220 A
Explanation:
The magnetic force on the floating rod due to the rod held close to the ground is F = BI₁L where B = magnetic field due to rod held close the ground = μ₀I₂/2πd where μ₀ = permeability of free space = 4π × 10⁻⁷ H/m, I₂ = current in rod close to ground and d = distance between both rods = 11 mm = 0.011 m. Also, I₁ = current in floating rod and L = length of rod = 1.1 m.
So, F = BI₁L
F = (μ₀I₂/2πd)I₁L
F = μ₀I₁I₂L/2πd
Given that the current in the rods are the same, I₁ = I₂ = I
So,
F = μ₀I²L/2πd
Now, the magnetic force on the floating rod equals its weight , W = mg where m = mass of rod = 0.10kg and g = acceleration due to gravity = 9.8 m/s²
So, F = W
μ₀I²L/2πd = mg
making I subject of the formula, we have
I² = 2πdmg/μ₀L
I = √(2πdmg/μ₀L)
substituting the values of the variables into the equation, we have
I = √(2π × 0.011 m × 0.1 kg × 9.8 m/s²/[4π × 10⁻⁷ H/m × 1.1 m])
I = √(0.01078 kgm²/s²/[2 × 10⁻⁷ H/m × 1.1 m])
I = √(0.01078 kgm²/s²/[2.2 × 10⁻⁷ H])
I = √(0.0049 × 10⁷kgm²/s²H)
I = √(0.049 × 10⁶kgm²/s²H)
I = 0.22 × 10³ A
I = 220 A
the degree of hotness and coldness of th body is.......
Answer:
Explanation:
The degree of hotness and coldness of the body is called temperature.
(c) The plastic tube is attached to a metal mast.
This would cause the metal mast to become positively charged.
Explain why there is a wire connecting the metal mast to the Earth.
can someone please help by answering the question and not write anything
Explanation:
Since the mast is a conductor and connected to the plastic so charge transfer takes place between the mast and the tube because the mast is connected to the ground with wire which is called grounded which means its potential is 0 equal to the ground so that charge can transfer from plastic tube to the ground. This is why the wire is used to connect the metal mast to the Earth.
Describe how wavelength is defined for transverse waves and for longitudinal waves.
Answer:
Explanation:
Wavelength is one way of measuring the size of waves. ... The wavelength of a transverse wave can be measured as the distance between two adjacent crests. The wavelength of a longitudinal wave can be measured as the distance between two adjacent compressions.Feb 19, 2021
the father sake to his daughter am happy with you change into reported speech
Answer:
I am happy with you the father said to his daughter
If a sled has a mass of 4kg what is the force of gravity on the sled?
Answer:
Explanation:
Gravity pulls everything down at the same rate of 9.8 m/s/s. If you're looking for the normal force, which is the same as the weight of the object, we'll find that, just in case.
w = mg which says that the normal force/weight of an object is equal to its mass times the pull of gravity:
w = 4.0(9.8) so
w = 39N
G.P.E = weight (n) x height (m). 2 identical twins are skiing down 2 different slopes. one is 1000m high, the other is 1500 m high. the twin at 1000m weighs 150 N. the other twin weighs 100 N. which twin has the most P.E before they begin skiing?
Answer:
I don't know i really I'm sorry I wish I could help
Suppose that Joe and Jim are twins and :
________________________________
Joe :
Height = 1000 m
==》 PE = 150 × 1000
Weight = 150 N
==》 PE = 150,000 j
_________________________________
Jim :
Height = 1500 m
==》PE = 100 × 1500
Weight = 100 N
==》PE = 150,000 j
______________________________
As u can see Joe and Jim has equal PE before they begin skiing .
A train traveled 100 kilometers north in 2 hours. After exchanging some railroad cars, it traveled 100 kilometers south in 2 hours along the same track. Why has the train's velocity changed
Answer:Due to change in direction
Explanation:
Given
Initially train has traveled a 100 km in North and after exchanging some railroad cars, it traveled 100 in south.
The velocity of the train changes as it direction of motion changes. Velocity is the vector quantity which require direction and magnitude for its reperesentation.
What is a core sample?
Answer:
it's a part of plate that moves with a plate that's the answer
What is the equation for density? NO LINKS
d = V/m
d= m + V
d= m x V
d= m/V
on what factor does speed of sound depend
Answer:
For sound waves to travel, there is a requirement of medium and density of the medium is considered to be one of the factors on which the speed of sound depends. When the medium is dense, the molecules in the medium are closely packed which means that the sound travels faster.
Explanation:
Write a short narrative from the perspective of a mineral moving through the rock cycle. The mineral must undergo at least four changes.
Answer: Mineral and non- mineral components circulate in the environment in different forms whether it is in the form of solid, liquid, or gas.
Explanation:
Plants take up the minerals like calcium, potassium, nitrogen, sulphur, and others from the soil and utilize them for their survival and growth. These minerals are stored in the flowers, leaves, roots, and other plant parts and these plant parts are consumed by humans and animals. So, inorganic minerals from the soil are converted into organic forms by the plants again the minerals are decomposed into inorganic forms after the death of organisms and again mineral is converted into inorganic form in the soil and these minerals can become the component of the rocks after the sedimentation of the soil.
‘The Universe is expanding.’ Justify this statement with the Big bang model of universe and Hubble’s Law.
Explanation:
The expansion of the universe is the increase in distance between any two given ... Metric expansion is a key feature of Big Bang cosmology, is modeled mathematically with the ...
You are given two converging lenses to build a compound microscope. Lens A has focal length 0.50 cm and lens B has focal length of 3.0 cm. Which one of the two lenses would you use for the objective
Answer:
The lens to be used for the objective is lens A
Explanation:
The objective of a compound microscope
The focal length of the lens used for the objective = 1/(magnification obtained)
The focal length of most modern is equal to the tube length
The range of sizes for the focal length of a microscope is between 2 mm and 40 mm
Therefore, the appropriate lens to be used for the objective of the compound is lens A that has a focal length of 0.50 cm = 5 mm