the distance walked is the addition of all the distances she walked.
The displacement is the difference between her initial point and the final point.
Distance=10+6=16
\(Displacement=\sqrt{10^2+6^2}=11.66m\)Assume that Earth is in circular orbit around the Sun with kinetic energy K and potential energy U, taken to be zero for infinite separation. Then, the relationship between K and U:
Answer:
K= -U/2
Explanation:
We know that K.E = 1/2mv²
And -GMm/r²= mv²/r
Thus K,E= 1/2(GMm/r)= 1/2(-P.E)
So
P.E = - GMm/r
So K= -U/2
Helpppp guys plsss help !
Answer:
with what? I can help but with what
Answer:
2
Explanation:
A 14.0 Kg ball is dropped from a building, the building has aheight of 255 m. What is the Potential energy of the ball?
Given data
*The given mass of the ball is m = 14.0 kg
*The given height is h = 255 m
*The value of the acceleration due to gravity is g = 9.8 m/s^2
The formula for the potential energy of the ball is given as
\(U_p=mgh\)Substitute the known values in the above expression as
\(\begin{gathered} U_p=(14.0)(9.8)(255) \\ =34986\text{ J} \end{gathered}\)Hence, the potential energy of the ball is 34986 J
assignment questions
Answer:
which on a is the question
A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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A parallel circuit has four branch currents: 120 mA, 380 mA, 250 mA, and 2.1 A. How much current is supplied by the source?
A parallel circuit is an electrical circuit with more than one current path and all circuit components are connected between the same two sets of electrically common points. The current supplied by the source in a parallel circuit is equal to the sum of all branch currents in the circuit.
The sum of the branch currents in a parallel circuit can be calculated by adding up the values of the individual branch currents. In this case, we have four branch currents: 120 mA, 380 mA, 250 mA, and 2.1 A. Thus, the sum of the branch currents is:120 mA + 380 mA + 250 mA + 2.1 A= 2.85 ATherefore, the current supplied by the source in this parallel circuit is 2.85 A. This is because, in a parallel circuit, the current from the source is split between the different branches of the circuit. Each branch will have a different current, but the sum of all the branch currents will always equal the current supplied by the sourceFor such more question on parallel circuit
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HELP!!! 35 point question. answer at least 3 correctly. please include equations and how you did it
Answer:
9. (B) ¼ Mv²
10. (A) √(3gL)
11. 20 N
12. 5 m/s²
Explanation:
9. The rotational kinetic energy is:
RE = ½ Iω²
RE = ½ (½ MR²) (v/R)²
RE = ¼ Mv²
10. Energy is conserved.
Initial potential energy = rotational energy
mgh = ½ Iω²
Mg(L/2) = ½ (⅓ ML²) ω²
g(L/2) = ½ (⅓ L²) ω²
gL = ⅓ L² ω²
g = ⅓ L ω²
ω² = 3g / L
ω = √(3g / L)
The velocity of the top end is:
v = ωL
v = √(3gL)
11. Sum of torques about the hinge:
∑τ = Iα
-(Mg) (L/2) + (T) (r) = 0
T = MgL / (2r)
T = (3.00 kg) (10 m/s²) (1.60 m) / (2 × 1.20 m)
T = 20 N
12. Sum of forces on the block in the -y direction:
∑F = ma
mg − T = ma
Sum of torques on the pulley:
∑τ = Iα
TR = (½ MR²) (a / R)
T = ½ Ma
Substitute:
mg − ½ Ma = ma
mg = (m + ½ M) a
a = mg / (m + ½ M)
Plug in values:
a = (3.0 kg) (10 m/s²) / (3.0 kg + ½ (6.0 kg))
a = 5 m/s²
2 An electric kettle is marked "230V, 1.5 kW.
a Explain what these numbers mean.
b Calculate the correct fuse that should be used.
c Explain why a 230V, 100 W bulb glows more brightly than a 230 V, 60 W
bulb when both are connected to the mains supply.
The power needed to boil the water is divided by the element's power output, and the result is multiplied by 100 to get the efficiency of the kettle as a percentage. The answer is 79 %.
To Find the efficiency of electric kettle ?We are informed that
Electric kettle power is 1 kW.
Electric kettle voltage is 230 V.
The time it takes the kettle to bring the water to boiling point is 7.5 minutes.
1 kg = mass of water.
Heat generated equals V x I x t + Pt.
generated heat = 1000 W x 7.5 x 60
Heat absorbed equals (100 - 15) x 1 x 4200 = 4200 x 85
Efficiency is determined by multiplying the heat produced by the heat absorbed by 100.
= 4.2 x 85 x 10^3 / 4.5 x 10^5 x 100
= 357 / 4.5 = 79 %
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An object's speed is 3.6 m/s with a momentum of 180 kgm/s. What is the mass of the object?
Answer:
To solve the problem we must know the concept of momentum.
What is Momentum?
Momentum is defined as the product of the mass of an object and the velocity of an object. It is a vector quantity.
$$\rm{Momentum = velocity \times Mass$$
The mass of the object is 50 kg.
Given to us
velocity of the object = 3.60 m/s
momentum of the object = 180 kg m/s
Mass of the object
We know that momentum is the product of the mass of the object and the velocity of the object,
$$\rm{Momentum = velocity \times Mass$$
Substitute the values,
180 = 3.60 \times \rm Mass180=3.60×Mass
\rm Mass = \dfrac{180\ kg\ m/s}{3.6\ m/s}Mass=
3.6 m/s
180 kg m/s
\rm Mass = 50\ kgMass=50 kg
Hence, the mass of the object is 50 kg.
How does the earth orbit the sun?
Answer:
The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.
Explanation:
Hope that helps
Do you feel cold after coming out from swimming pool
The sensation of feeling cold after coming out of a swimming pool can be attributed to evaporation, conduction, individual sensitivity.
The several factors are
Firstly, water conducts heat away from the body more efficiently than air. When you are in the pool, the water absorbs heat from your body, causing you to lose heat through conduction. This lowers your body temperature, and when you step out of the water into the air, the temperature difference between your body and the surrounding environment can feel more pronounced, resulting in a sensation of coldness.
Secondly, evaporation plays a role in cooling down the body. As water evaporates from your skin's surface, it takes heat away from your body, creating a cooling effect. When you exit the pool, the moisture on your skin evaporates more rapidly in the drier air, further intensifying the cooling sensation.
Additionally, wet clothing can contribute to the feeling of coldness. Wet fabric against the skin facilitates heat transfer and can make you feel colder than if you were dry.
The perception of coldness after swimming can also be influenced by personal factors such as individual sensitivity to temperature changes, the duration of time spent in the water, and the temperature of the pool itself.
To mitigate the feeling of coldness after swimming, it is advisable to dry off and change into dry clothing promptly. Wrapping yourself in a towel or using a robe can help retain body heat. Additionally, engaging in light physical activity or seeking warmer sheltered areas can help generate body heat and alleviate the sensation of coldness.
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A 5 kW, 230 V motor draws a current of 24 A from the supply. Determine the efficiency of this motor.
The efficiency of motor is 90.58%.To determine the efficiency of the motor, we need to calculate the input power and the output power, and then divide the output power by the input power
The input power can be calculated using the formula:
Input Power = Voltage × Current
Given that the voltage is 230 V and the current is 24 A, we have:
Input Power = 230 V × 24 A
Input Power = 5520 W (or 5.52 kW)
The output power of the motor is given as 5 kW (since it is a 5 kW motor).
Now, we can calculate the efficiency:
Efficiency = (Output Power / Input Power) × 100%
Efficiency = (5 kW / 5.52 kW) × 100%
Efficiency ≈ 90.58%
Therefore, the efficiency of this motor is approximately 90.58%.
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One day, the distance between the crests of the waves at sea is 2.5m. The shortest time between the lowest and highest positions of the floating boat was 0.625 seconds.
a) Calculate the wave period.
b) Calculate the speed of the wave.
Answer:
1.25 sec, 2 m/s
Explanation:
Period = 2 * 0.625 sec = 1.25 sec
speed = 2.5/1.25 = 2 m/s
Please help I’m stuck
The weight of the box is w = mg, where m is the mass. So
m = w/g = (3893.40 N) / (9.80 m/s²) ≈ 397 kg
Then the box has density
(397 kg)/(4.60 m³) ≈ 86.4 kg/m³
which is less than the density of the given liquid, so the box will float.
In a particular lab, a cube of ice (Tice = -5.5˚C) is taken and dropped into a calorimeter cup (98g) partially filled with 326 g of water (Water = 20˚C). The cup was at the same initial temperature as the water and is perfectly insulating. The final temperature of the system is 15˚C. What was the mass of ice added?
Answer:
The mass of the ice added = 16.71 g
Explanation:
The heat gained by the ice is equal to the heat lost by the calorimeter cup and the water in the cup.
But for this question, the cup is said to be perfectly insulated, hence, there is no loss of heat from the calorimeter cup.
Heat gained by the ice = Heat lost by the 326 g of water.
Let the mass of ice be m
The heat gained by the ice = (Heat gained by ice in temperature from -5.5°C to 0°C) + (Heat used by the ice to melt at 0°C) + (Heat required for the melted ice to rise in temperature from 0°C to 15°C)
Heat gained by ice in temperature from -5.5°C to 0°C = mCΔT
m = unknown mass of ice
C = Specific Heat capacity of ice = 2.108 J/g°C
ΔT = change in temperature = 0 - (-5.5) = 5.5°C
Heat gained by ice in temperature from -5.5°C to 0°C = m×2.108×5.5 = (11.594m) J
Heat used by the ice to melt at 0°C = mL
m = unknown mass of ice
L = Latent Heat of fusion of ice to water = 334 J/g
Heat used by the ice to melt at 0°C = m×334 = (334m) J
Heat required for the melted ice or water now, to rise in temperature from 0°C to 15°C = mCΔT
m = unknown mass of water (which was ice)
C = Specific Heat capacity of water = 4.186 J/g°C
ΔT = change in temperature = 15 - 0 = 15°C
Heat required for the melted ice or water now, to rise in temperature from 0°C to 15°C = m×4.186×15 = (62.79m) J
Total heat gained by the ice = 11.594m + 334m + 62.79m = (408.384m) J
Heat lost by the water in the calorimeter cup = MCΔT
M = mass of water in the calorimeter cup = 326 g
C = specific heat capacity of water = 4.186 J/g°C
ΔT = change in temperature = 20 - 15 = 5°C
Heat lost by the water in the calorimeter cup = 326×4.186×5 = 6,823.18 J
Heat gained by the ice = Heat lost by the 326 g of water.
408.384m = 6,823.18
m = (6,823.18/408.384)
m = 16.71 g
Hope this Helps!!!
Jupiter's Great Red Spot is
1.slowly shrinking
2.a large storm
3.smaller than Saturn's spot
4.a large area of liquid hydrogen
Answer:
2 : A large storm
Explanation: I hope this helps
what are ionic charges
Answer:
Ionic charges refer to the electrical charges of ions, which are atoms or molecules that have gained or lost electrons. These charges result from the loss or gain of electrons during chemical reactions.
When an atom loses one or more electrons, it becomes a positively charged ion known as a cation. The cation carries a positive charge equal to the number of electrons lost.
Conversely, when an atom gains one or more electrons, it becomes a negatively charged ion known as an anion. The anion carries a negative charge equal to the number of electrons gained.
The magnitude of the ionic charge depends on the number of electrons gained or lost, which is determined by the element's position in the periodic table and its electron configuration. For example, sodium (Na) loses one electron to become a +1 charged cation (Na+), while chlorine (Cl) gains one electron to become a -1 charged anion (Cl-).
A car is traveling at a speed of 37 m/s.
1) What is its speed in kilometers per hour?
2) Is it exceeding the 125 km/h speed limit?
1. The speed in kilometers per hour (Km/h) is 133.2 Km/h
2. Yes, the speed is exceeding the 125 Km/h limit
How to convert 37 m/s to Km/hFrom the question given above, the following data were obtained:
Speed (in m/s) = 37 m/sSpeed (in Km/h) =?We can convert 37 m/s to kilometers per hour (Km/h) by doing the following:
1 m/s = 3.6 Km/h
Therefore,
37 m/s = 37 × 3.6
37 m/s = 133.2 Km/h
Thus, 37 m/s is equivalent to 133.2 Km/h
2. How to determine if the speed is exceeding the limitSpeed of car = 133.2 Km/hSpeed limit = 125 Km/hFrom the above, we can see that the speed of the car is greater than the speed limit.
Thus, we can conclude that the speed of the car is exceeding the speed limit.
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HELP: A block of mass 3 kg slides along a horizontal surface that has negligible friction except for one section, as shown above. The block arrives at the rough section with a speed of 5 m/s and leaves it 0.5 s later with a speed of 3 m/s.
Question
What is the magnitude of the average frictional force exerted on the block by the rough section of the surface?
The average frictional force exerted on the block by the rough section of the surface D 4N.
What is frictional ?Frictional force is the force exerted between two objects when they are in contact and one object is moving relative to the other. It is caused by the microscopic irregularities on the surface of the objects, which cause them to stick together and resist relative motion. Frictional forces are always present, and can be beneficial in some cases, but can also cause wear and other forms of damage if too great. Frictional forces can be reduced by applying a lubricant, such as oil or grease, which reduces the surface area of contact and allows the objects to move more easily.
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A pen falls off my desk. It took 1.5 seconds to fall. What was the velocity of the pen just before it hit the ground
The pen is falling down due to acceleration due to gravity and for earth it is 9.8 m/s². The pen falls within 1.5 seconds. Then, velocity of the pen is 14.7 m/s.
What is acceleration ?Acceleration of an object is the rate of change in its velocity. It is a vector quantity having both direction and magnitude.
thus, a = Δv/t
where Δv = V- u
u is the initial velocity and v be the final.
Objects free falling is due to the gravitational pull of earth. Then, the object is associated with an acceleration of 9.8 m/s².
time t = 1.5 s.
Then, v-u/t = a
The pen is initially at rest , u = 0
v = u + at
= 0 + 1.5 s × 9.8 m/s²
= 14.7 m/s.
Therefore, velocity of the pen is 14.7 m/s.
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You are asked to heat 56.8 grams of water from 22.2°C to 35.8°C. The specific heat of water is 4.186 Joules per gram per degree Celsius. Assuming that your system is 100% efficient, the amount of energy required is _____________ .
In order to calculate the amount of heat required, let's use the following formula:
\(Q=m\cdot c\cdot\Delta T\)Where Q is the energy, m is the mass, c is the specific heat and DeltaT is the difference in temperature.
In this question, let's use m = 56.8 g, c = 4.186 J/g°C and DeltaT = 13.6 °C (that is, from 22.2 °C to 35.8 °C), so we have:
\(\begin{gathered} Q=56.8\cdot4.186\cdot13.6 \\ Q=3233.6\text{ J} \end{gathered}\)Therefore the amount of energy required is 3233.6 Joules.
An object exerts a reaction force when it ____.
A. is pulled by another object
B. maintains its direction of motion
C. has a net force of zero
D. is pushed by another object
Answer:
Is pushed by another object
Explanation:
According to Newton's third law
Every action in the universe has opposite and equal reaction.
Or
\(\\ \sf\dashrightarrow F_A=-F_B\)
A and B are objectsAn object exerts a reaction force when it ____.
A. is pulled by another object
B. maintains its direction of motion
C. has a net force of zero
D. is pushed by another object
Your answer will be (D)
Sally puts on wool socks and rubs her feet on a nylon carpet. How does static electricity build up in Sally?
O When electrons from the wool socks move into the carpet, Sally and her socks gain a negative charge.
O The friction causes electrons from the wool socks to move to Sally, giving Sally a negative charge.
O Electrons from the wool socks move into the carpet, giving Sally and her socks a positive charge.
Electrons from the carpet move into the wool socks, giving Sally and her socks a positive charge.
When Sally puts on wool socks and rubs her feet on a nylon carpet, static electricity builds up through a process involving the movement of electrons. The friction between the wool socks and the nylon carpet causes electrons from the wool socks to move to the carpet, resulting in Sally and her socks gaining a negative charge.
The correct answer would be the friction causes electrons from the wool socks to move to Sally, giving Sally a negative charge.
The friction between the wool socks and the nylon carpet causes electrons from the wool socks to move to the carpet, resulting in Sally and her socks gaining a negative charge. This is due to the phenomenon known as the triboelectric effect.
The triboelectric effect occurs when two materials come into contact and then separate. During the rubbing process, the atoms in the two materials interact, causing the transfer of electrons between them. In this case, the wool socks have a greater affinity for electrons compared to the nylon carpet. As a result, electrons from the socks are transferred to the carpet, leaving the socks with a positive charge and the carpet with a negative charge.
Sally, wearing the wool socks, experiences an accumulation of excess electrons on her feet, giving her a negative charge. This excess negative charge on her body can lead to static electricity-related phenomena, such as experiencing a shock when touching a metal object or seeing her hair stand on end when near certain surfaces.
It's important to note that the movement of electrons determines the charge distribution during the triboelectric effect. In this scenario, electrons move from the wool socks to the nylon carpet, resulting in Sally and her socks gaining a negative charge.
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26) Star A and star B are the same surface temperature. Star A has twice the radius as star B. How does the amount of energy radiated per unit area from the surface of A compare to surface of B?
Answer:
1/4
Explanation:
Total radiation energy depends on temperature, so \(E_A=E_B\)
Radius \(R_A=2R_B\)
so the surface area \(S_A=4 S_B\)
energy per unit area
\(\frac{E_A}{S_A}=\frac{1}{4}\frac{E_B}{S_B}\)
What is the time spent by the alpha particle in the magnetic field?
Help me please,
A ball is thrown straight up in the air. What is the velocity and acceleration at the top of the path?
A) v 0m/s, = 0m/s/s
B) v = 0m/s, a 10m/s/s
C) v = 10m/s, a 10m/s/s
D) v = 10m/s, a = 0m/s/s
E) None of the above
Option B
Explanation:
no distance was given only the acceleration due to the fact that it went up (10m/s/s)
s0 it is
0 m/s and 10m/s/s (option B)
what were formed after the big bang theory?
Answer:
neutrons protons electrons
Explanation:
after the Big Bang, the universe was filled with neutrons, protons, electrons, anti-electrons, photons and neutrinos.
A 1050 kg car accelerates from 11.3 m/s to 26.2 m/s . What impulse does the engine give?
Answer:
I = 15,645. kg*m/s or 15,645 N*s
Explanation:
I = m(^v)
I = 1050kg((26.2m/s-11.3m/s)
I = 15,645. kg*m/s
17. Which one of the following temperatures is equal to 5°C?
OA. 278K
ОВ.0К
OC. 418
0D.465K
Answer:
A. 278K
Explanation:
I look it up it and I used a conversion chart
six forces, each of magnitude either f or 2f, are applied to a door as seen from above in the (figure 1).
The fifth torque (T₅ ) is the largest then the third torque (T₃), after the third torque, the second and fourth torque (T₂) and (T₄), then the smallest torque is (T₆).
In terms of physics, torque is a rotating or twisting force that propels an item around an axis. Understanding torque, which is comparable to force in linear motion, is essential for comprehending rotating motion.
The torque for the first side is:
T₁ = 2FL/4 = 0.5FL
The second and fourth torque are equal in magnitude,
(FL×0.5)(cos 45) = 0.354 FL
The third torque is:
T₃ = FL/2 = 0.5FL
The fifth torque is:
T₅ = 2FL
The sixth torque is zero in magnitude as it is parallel to the door.
Hence, The fifth torque (T₅ ) is the largest then the third torque (T₃), after the third torque, the second and fourth torque (T₂) and (T₄), then the smallest torque is (T₆).
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#Complete question is:
Question: Six Forces, Each Of Magnitude Either F Or 2F, Are Applied To A Door As Seen From Above In (Figure 1) . Rank In Order, From Largest To Smallest, The Six Torques?1 To?6 About The door. Rank From Largest To Smallest. To Rank Items As Equivalent, Overlap Them. ?
Six forces, each of magnitude either F or 2F, are applied to a door as seen above in (Figure 1) .
Rank in order, from largest to smallest, the six torques 1 to 6 about the door.