Answer:
[tex]2.09\ \text{m/s}[/tex]
[tex]22298.4\ \text{J}[/tex]
Explanation:
m = Mass of each the cars = [tex]1.6\times 10^4\ \text{kg}[/tex]
[tex]u_1[/tex] = Initial velocity of first car = 3.46 m/s
[tex]u_2[/tex] = Initial velocity of the other two cars = 1.4 m/s
v = Velocity of combined mass
As the momentum is conserved in the system we have
[tex]mu_1+2mu_2=3mv\\\Rightarrow v=\dfrac{u_1+2u_2}{3}\\\Rightarrow v=\dfrac{3.46+2\times 1.4}{3}\\\Rightarrow v=2.09\ \text{m/s}[/tex]
Speed of the three coupled cars after the collision is [tex]2.09\ \text{m/s}[/tex].
As energy in the system is conserved we have
[tex]K=\dfrac{1}{2}mu_1^2+\dfrac{1}{2}2mu_2^2-\dfrac{1}{2}3mv^2\\\Rightarrow K=\dfrac{1}{2}\times 1.6\times 10^4\times 3.46^2+\dfrac{1}{2}\times 2\times 1.6\times 10^4\times 1.4^2-\dfrac{1}{2}\times 3\times 1.6\times 10^4\times 2.09^2\\\Rightarrow K=22298.4\ \text{J}[/tex]
The kinetic energy lost during the collision is [tex]22298.4\ \text{J}[/tex].
A light string is wrapped around the edge of the smaller disk, and a 1.50 kgkg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.40 mm above the floor, what is its speed just before it strikes the floor
Answer:
The speed of the block before it strikes the floor is 0.217 m/s.
Explanation:
Given;
mass of the block, m = 1.5 kg
height above the ground through the block was released, h = 2.4 mm = 2.4 x 10⁻³ m
The speed of the block before it strikes the floor will be maximum.
Let the speed of the block before it strikes the floor = v
Apply the principle of conservation of mechanical energy to determine the speed of the block.
K.E = P.E
¹/₂mv² = mgh
¹/₂v² = gh
v² = 2gh
v = √2gh
v = √(2 x 9.8 x 2.4 x 10⁻³)
v = 0.217 m/s
Therefore, the speed of the block before it strikes the floor is 0.217 m/s.
Evaluate for f(-4)
F(x) =3x2 -5 +7
Answer: -4f=8
Explanation:
Oil having a density of 926 kg/m3 floats on water. A rectangular block of wood 3.69 cm high and with a density of 974 kg/m3 floats partly in the oil and partly in the water. The oil completely covers the block. How far below the interface between the two liquids is the bottom of the block
Answer:
the position of the wood below the interface of the two liquids is 2.39 cm.
Explanation:
Given;
density of oil, [tex]\rho _o[/tex] = 926 kg/m³
density of the wood, [tex]\rho _{wood}[/tex] = 974 kg/m³
density of water, [tex]\rho _w[/tex] = 1000 kg/m³
height of the wood, h = 3.69 cm
Based on the density of the wood, it will position across the two liquids.
let the position of the wood below the interface of the two liquids = x
Let the wood be in equilibrium position;
[tex]F_{wood} - F_{oil} - F_{water} = 0\\\\\rho _{wood} .gh - \rho _o .g(h-x) - \rho_w .gx = 0\\\\\rho _{wood} .h - \rho _o (h-x) - \rho_w .x = 0\\\\\rho _{wood} .h -\rho _o h + \rho _o x - \rho_w .x =0\\\\h (\rho _{wood} -\rho _o ) = x( \rho_w - \rho _o)\\\\x =h[\frac{ \rho _{wood} -\rho _o }{\rho_w - \rho _o} ]\\\\x = 3.69\ cm \times [\frac{974 - 926}{1000-926} ]\\\\x = 2.39 \ cm[/tex]
Therefore, the position of the wood below the interface of the two liquids is 2.39 cm.
3. How much work is necessary to lift 10 kg 5m in the air?
1) 10N
3) 490 J
2) 50 J
4) 4900 J
Answer:
I'm not 100 percent sure but I have had a question very similar to this and I think 2.)50 j
can someone pls help
Answer:i
Explanation:∩
Help me with both questions please?
Answer:
1. They all accelerate at the same rate.
2.The object travels at a constant velocity throughout the fall.
Explanation:
Earths gravitational pull is at a constant 9.08 m/s^2. so when objects are free falling, the objects in question can only fall so fast before it would break gravity so to speak.
A continental polar air mass forms in
a. the Pacific Ocean.
b. northern Canada.
c.
the Gulf of Mexico.
the desert Southwest.
d.
Please select the best answer from the choices provided
А
B
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Answer:
B. Northern Canada
Explanation:
A continental polar air mass can form over the land during the winter months. In the Northern Hemisphere, it originates in northern Canada or Alaska. As it moves southward, it brings dry weather conditions to the United States. Temperature and humidity levels are both low. Hope this helps :)
A metal cube 1.0 cm on each side is sandwiched between two electrodes. The electrodes create a 0.0050N/C electric field in the metal. A current of 9.0 A passes through the cube, from the positive electrode to the negative electrode. Identify the metal.
a-Tungsten
b-gold
c-silver
d-copper
Answer:
This is Tungsten .
Explanation:
Electrical field E = V / l , V is potential diff and l is length
.005 = V / .01
V = .005 X .01 = 5 X 10⁻³ volts
I current = 9A
Resistance R = V / I
= 5 x 10⁻³ / 9
= 5.55 x 10⁻⁶ ohm .
To calculate resistivity :
R = ρ l / S , l is length , S is cross sectional area
5.55 x 10⁻⁶ = ρ x .01 / .01 x .01
ρ = 5.5 x 10⁻⁸
This is Tungsten .
Which DOES NOT happen during the phase change from liquid to solid?
Kinetic energy decreases
Particles move slower
Freezing occurs
Temperature increases
Answer:
Temperature increases
During the phase transition from liquid to solid, kinetic energy diminishes, particles move slower, and freezing occurs.
Phase change:Extreme heat is more likely to occur as a result of rising temperatures, and it will last longer. Heatwaves can indeed be deadly, resulting in manifestations including heat kinks and heat exhaustion, as well as death.
Warmer temperatures have the potential to trigger a cascade of other changes around the world.The greenhouse effect is worsened by these gas emissions, which cause the earth's crust temperature to rise. Burning fossil fuels has the greatest impact on climate change of any human activity.Since in changement from liquid to solid the temperature will decrease.Therefore, the final answer is "Temperature increases".
Find out more about the phase change here:
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Describe what happens to the magnitude of the net electrostatic force on the electron as the electron
is moved toward the positive plate. [1]
When the electron is moved toward the positive plate, the electrostatic force increases causing the electron to be attracted to the positive plate.
What is the electrostatic force?The electrostatic force is the force tat acts between two charges. The nature of this force is described by the Coulumb law.
When the electron is moved toward the positive plate, the electrostatic force increases causing the electron to be attracted to the positive plate.
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1.Briefly describe the wind motion of the stationary front
.
2.What is another name for stationary front.
Answer:
stationary front is when it is not moving that is why weather is the same in some areas
Explanation:quasi-stationary front
A bar magnet has
a. one magnetic pole.
b. two magnetic poles.
c. three magnetic poles.
d. four magnetic poles.
Answer:
b
Explanation:
Bar magnets have two magnetic poles
In the “Elastic Collision" part of this activity, what happened to the momentum of the red cart after the collision? What happened to the momentum of the blue cart after the collision?
Explanation:
Elastic collision between balls of equal mass viimis 1.5 mys 1.5m/s 1! mis ... Make a data table for the following: mass, velocity and momentum of each ball before ... Part 2 moving faster. ... Summary: Describe the main ideas learned in this activity regarding initial and ... Collision 2: Blue Cart Moving Slower than the Red Cart.
A 2000-kg elevator is at rest when its cable breaks. The elevator falls 26 m before it encounters a giant spring at the bottom of the elevator shaft. As the elevator falls, its safety clamp applies a constant frictional force of 17,000 N. 1. List all the forces acting on the elevator after the cable breaks but before it hits the spring. Determine the work done by each force on the elevator. Make sure these work terms have the appropriate signs (positive or negative). 2. Calculate the net work done on the elevator. 3. Use the work-kinetic-energy theorem to determine the speed of the elevator right before it encounters the spring. 4. After the elevator encounters the spring, the spring compresses by 0.6 m before the elevator comes to rest. The safety clamp continues to apply a constant 17,000 N force. List all the forces acting on the elevator while it falls this final 0.6 m. 5. For each force listed in question F4, determine an expression for the work it does on the elevator. Make sure each work term has the appropriate sign (positive or negative). 6. Use the work-kinetic-energy theorem to determine the value of the spring constant k.
Explanation:
work done =force *distance
work done =17000*26
work done=442,000 joules.
help meee plisssssssssssssssssssssssssssss
Answer:
Resistance = 0.22 Ohms
Current = 13.63636 A
Explanation:
Total resistance for resistors in parallel is given by:
[tex]\frac{1}{T} =\frac{1}{R1} +\frac{1}{R2} +...+\frac{1}{Rn}[/tex] where n is the number of resistors
[tex]\frac{1}{T} = \frac{1}{1.1} +\frac{1}{1.1} +\frac{1}{1.1} +\frac{1}{1.1} +\frac{1}{1.1}[/tex]
if you solve that you get [tex]\frac{1}{T} = 5/1.1 \\\\T = 1.1/5T = 0.22 Ohms[/tex]
Solve current using V=IR
I=V/R =
I=3/0.22
I = 13.63636 A
.HOW DOES PHYSICAL EDUCATION BENEFIT YOUR EMOTIONAL HEALTH ?
Answer: reduce anxiety, depression, and negative mood and by improving self-esteem and cognitive function.
Explanation:
A closed pipe creates a fifth
harmonic frequency of 125 Hz.
What is the next lower frequency
that will create a standing wave in
the pipe?
(Speed of sound = 343 m/s)
(Unit = Hz)
PLEASE HELP QUICKLY, WILL GIVE BRAINLIEST
Answer:
75 hz
Explanation:
Trust
The next frequency will be 75.0 Hertz
Wait, how do you know if it is correct?!
Well, it is correct for Acellus:)
Try it in other schools/academies:)
explain why radiation is dangerous for humans
Answer:
because it affects the attom in living things
Which of the following is the tendency of a system to become more
disordered?
A. Energy
B. Heat
C. Entropy
D. Efficiency
Answer:
b
Explanation:
the more heat the hotel it get which cause more heat
Answer: C. Entropy
Explanation: a pex :)
A 100 W engine generates 1000 J of energy. How long did it run for?
A. 1 s
B. 10 s
C. 5 s
D. 100 s
Answer:
B. 10 s
Explanation:
Given the following data;
Power = 100 Watts
Energy = 1000 Joules
To find the time;
Power can be defined as the energy required to do work per unit time.
Mathematically, it is given by the formula;
[tex] Power = \frac {Energy}{time} [/tex]
Making time the subject of formula, we have;
[tex] Time = \frac {Energy}{Power} [/tex]
Substituting into the formula, we have;
[tex] Time = \frac {1000}{100} [/tex]
Time = 10 seconds
The potential energy of an object is 16.0 joules. The object is 145cm high.
What is the mass of the object?
Answer:
I don't know but you got this!!
A researcher plans to release a weather balloon from ground level, to be used for high-altitude atmospheric measurements. The balloon is spherical, with a radius of 2.00 m, and filled with hydrogen. The total mass of the balloon (including the hydrogen within it) and the instruments it carries is 20.0 kg. The density of air at ground level is 1.29 kg/m3. (a) What is the magnitude of the buoyant force (in N) acting on the balloon, just after it is released from ground level
Answer:
B = 423.64 N
Explanation:
The thrust force in a fluid is equal to the weight of the displaced fluid,
B = ρ g V
where the density is that of air ρ=1.29 kg / m³ and the volume of the spherical balloon is
V = [tex]\frac{4}{3} \pi r^3[/tex]
v = 4/3 π 2³
V = 33.51 m³
let's calculate the thrust
B = 1.29 9.8 33.51
B = 423.64 N
8. A weight lifter lifts a set of weights a vertical distance of 2 m. If a constant net force of 350 N is exerted on the weights, what is the net work done on the weights? Please show full working out ( not in words)
Answer: Work = change in energy which can be calculated by force * displacement so taking this we can multiply 350n by *2m and we can come out with 700 joules
Explanation: I Hope This Helps I'm new at this.
2. Predict what will happen if the 80 kg adult was further from the pivot (more right) and explain your reasoning. 3. Predict what will happen if the 30 kg child was closer to the pivot (more right) and explain your reasoning. 4. Test your predictions in the Balance Lab. Make notes about any ideas you have that need to be changed. 5. What are some rules you could use to make predictions for other situations where masses are on a balance
Answer:
2) τ = F x torque increases, 3) troque decreases,
4) man approaches the pivot and the child must move away
5) Σ τ = 0
Explanation:
2) when the man moves away from the pivot his torque increases significantly, since his distance increases
τ = F x
τ = m g x
therefore the system rotates faster
3) when the child approaches the pivot, his troque decreases, because the distance decreases
τ = f x
therefore the system must spin slower
4) If we place the man and the child on the side of a scale, the movement must be the man approaches the pivot and the child must move away, so that the torque is the same and the system can reach a balance
5) the rotational equilibrium expression
Σ τ = 0
is the one that describes the equilibrium of a system with several forces
Following are the solution to the given points:
For question 2:
If the guy was further to the right, say the [tex]5^{th}[/tex] unit,[tex]\to W_2\times d_2=80\times 5=300\ units[/tex]
Since this value is larger than [tex]W_1\times d_1=30\times 8=240\ units[/tex]As just a result, the boards will lean towards the guy, and will tumble to the right.For question 3:
If the girl was [tex]6^{th}[/tex] units closer to a pivot,[tex]\to W_1\times d_1=30\times 6=180 \ units[/tex]
This value is once again less than [tex]W_2\times d_2=80\times 3=240\ units[/tex]As just a result, the boards will tilt towards the guy, and will fall to the right.For questions 4 and 5:
Whenever experimenting, verify that the mass you utilize and the distance you travel are carefully measured. Since even a tiny quantity of ambiguity in such measures can produce unexpected results.Learn more:
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Which of the following can be studied by science?
O A. Value judgments
O B. Matters of opinion
O C. Questions of right and wrong
O D. Natural phenomena.
To determine the pressure in a fluid at a given depth with the air-filled cartesian diver, we can employ Boyle's law, which states that the pressure in an ideal gas (held at constant temperature) is inversely proportional to its volume. At a fluid's surface, the pressure of the fluid is the same as the pressure of the atmosphere just above it, which we'll denote as LaTeX: P_{atm}P a t m. If the volume of air, which can be treated as an ideal gas here, in the cartesian diver decreases by 19% as it is lowered to a specific depth in the fluid, the pressure of the fluid at this depth, in terms of atmospheric pressure, is
Answer:
The pressure at this depth is [tex]1.235\cdot P_{atm}[/tex].
Explanation:
According to the statement, the uncompressed fluid stands at atmospheric pressure. By Boyle's Law we have the following expression:
[tex]\frac{P_{2}}{P_{1}} = \frac{V_{1}}{V_{2}}[/tex] (1)
Where:
[tex]V_{1}, V_{2}[/tex] - Initial and final volume.
[tex]P_{1}, P_{2}[/tex] - Initial and final pressure.
If we know that [tex]V_{2} = 0.81\cdot V_{1}[/tex], then the pressure ratio is:
[tex]\frac{P_{2}}{P_{1}} = 1.235[/tex]
If [tex]P_{1} = P_{atm}[/tex], then the final pressure of the gas is:
[tex]P_{2} = 1.235\cdot P_{atm}[/tex]
The pressure at this depth is [tex]1.235\cdot P_{atm}[/tex].
The pressure of the fluid at this depth will be "1.16 [tex]P_{atm}[/tex]".
Pressure and VolumeAccording to the question,
Let,
The volume of surface be "100 units".
then,
The volume of depth be:
= 100 - 14
= 86 units
We know the relation,
P ∝ [tex]\frac{1}{V}[/tex]
here, PV = Constant
By using Boyle's law,
→ P₁ V₁ = P₂ V₂
or,
→ P₂ = [tex]\frac{P_1 V_1}{V_2}[/tex]
By substituting the values, we get
= [tex]\frac{P_{atm}\times 100}{86}[/tex]
= 1.16 [tex]P_{atm}[/tex]
Thus the above answer is appropriate.
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Most stars are _____ compared to the sun.
slightly smaller
much bigger
much smaller
slightly bigger
Read the following statements. Which statement provides the correct definition of weather? Select your answer from the options below. * 1 point
Atmospheric conditions at a specific time in a specific area
Atmospheric conditions over a period of time in a specific area
Average atmospheric conditions over a period of time in a region
Average atmospheric conditions across the world
Answer:
In one day, a store sells 14 pairs of jeans. The 14 jeans represent 20% of the total number of items sold that day. How many items did the store sell in one day? Explain or show how you got your answer.
plz help with the qsn
Explanation:
Part A
n
Rank the light intensity, from largest to smallest, at the point P in the figures.
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E
D
C
B
A
2 bulbs
3 bulbs
00
4 bulbs
XOXO
1 bulb
2 bulbs
co
T0.5 m
1.0 m
1.5 m
个
1.0 m
p
2.0 m
P
P
OP
Largest
Smallest
The light intensity from largest to smallest ranking will be :
B > D > A=C > E
What is intensity ?
In physics, the intensity is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy
equation to find intensity is I = P/ 4π(d^2)
where P = Power
I = intensity
d = distance where the intensity need to be found
let power of 1 bulb be = P
case A = I = P / (1)^2 = P / 1 =P
case B = I = 2P/ (0.5)^2 = 8P
case C = I = 4P / (2)^2 = P
case D = I = 3P / (1)^2 = 3P
case E = I = 2P /(1.5)^2 = 0.8 P
The light intensity from largest to smallest ranking will be :
B > D > A=C > E
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The new roller coaster at Carowinds flies along at 80 m/s. How long does it take to
travel 16000 meters of track?