Answer:
Approximately [tex]2.05\; {\rm m\cdot s^{-2}}[/tex].
Explanation:
The net force on the girl would be:
[tex]\begin{aligned}m(\text{girl}) \, a(\text{girl}) &= 41\; {\rm kg} \times 3.0\; {\rm m\cdot s^{-2}} \\ &= 123.0\; {\rm N} \end{aligned}[/tex].
Under the assumptions, the net force on this girl would be equal to the tension force in the rope. All other forces on the girl would be balanced.
In other words, the tension force that the rope exerted on the girl would be [tex]123.0\; {\rm N}[/tex]. The girl would exert a reaction force on the rope at the same magnitude ([tex]123.0\; {\rm N}\![/tex]) in the opposite direction. This force would translate to a [tex]123.0\; {\rm N}\!\![/tex] force on the boy towards the girl.
Under similar assumptions, the net force on the boy would also be [tex]123.0\; {\rm N}[/tex]. Since the mass of the boy is [tex]m(\text{boy}) = 60\; {\rm kg}[/tex], the acceleration of the boy would be:
[tex]\begin{aligned}a(\text{boy}) &= \frac{(\text{net force})}{m(\text{boy})} \\ &= \frac{123.0\; {\rm N}}{60\; {\rm kg}} \\ &= 2.05\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].
Is volume measured using a balance?
A train travels at a speed of 24 m/s. Then it slows down uniformly at 0.065 m/s² until it stops. What distance does the train travel while slowing down?
A train travels at a speed of 24 m/s. Then it slows down uniformly at 0.065 m/s² until it stops the distance does the train travel while slowing down are 4430.75 m.
What is distance?Distance measures length. For example, the gap of a street is how lengthy the street is. In the metric gadget of size, the maximum not unusualplace devices of distance are millimeters, centimeters, meters, and kilometers.
It takes 24/.065 = 369.23 sec to slow down to zero.In that point it travels s = half of at^2 = half of (.065)(369.23^2) = 4430.75m.Read more about distance:
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What's the velocity of a ball falling with 100 jules of kinetic energy and a mass of 2 kilograms?
Answer:
v = 10m/s.
Explanation:
100 = 1/2×2×v^2
100 = 1×v^2
v^2 = √100
v=10 m/s
Object a with a mass of 1.5 kilograms is moving with a velocity of 11.2 meters/second (moving in the x direction). it has a perfectly elastic collision with stationary object b that has a mass of 4.5 kilograms. after the collision, object b travels with a velocity of 5.6 meters/second. what is the final velocity for object a? a. 3.8 meters/second in the same direction b. -3.8 meters/second in the opposite direction c. 5.6 meters/second in the same direction d. -5.6 meters/second in the opposite direction e. -6.2 meters/second in the opposite direction
The final velocity for object a is 5.6 m/s in the opposite direction.
From the conservation of momentum, we know that the collision between two objects will result in the conservation of initial momentum and the final momentum i.e.,
Pi = Pf
It is given that,
m₁ = 1.5 kg
u₁ = 11.2 m/s
m₂= 4.5 kg
u₂= 0
v₂= 5.6 m/s
We need to find v₁.
Using momentum conservation
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
1.5 × 11.2 + 4.5 × 0 = 1.5 × v₁ + 4.5 × 5.6
16.8 + 0 = 1.5 × v₁ + 25.2
-8.4/ 1.5 = v₁
v₁ = - 5.6 m/s
Here, the negative sign shows that body is moving in the opposite direction.
Hence, option (d) is correct.
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What is the colour of third band of a coded resistor having resistance equal equal to 2.3*10`2
Color of third band of a coded resistor is Brown.
What is Resistance:
Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, omega (Ω)The color code specify the resistance value, the tolerance, and sometimes the reliability or failure rate.
How to identify resistor's color codes:
Look at the resistor so the group of 3 or 4 color bands are on the left sideRead the color bands from left to right.Read the color on the last color band, which is farthest right.compare the colors to the resistance code tableHere,
the value of resistance is 2.3x10^2 Ω
R = 23x10^1 Ω
here power of 10 is 1
so, the color of third band of a color coded resistor will be related to number 1
Hence,
color of third band of a coded resistor is Brown.
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In example 18. 4 of the text, the deflection angle of the laser beam as it exits the prism is 22. 6º. If the prism had been made of glass instead of polystyrene plastic, what would the deflection angle have been?.
The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.
As we know that the deflection angle is an angle between the moving object from its directed course.
In the following question the deflection angle as laser enters the beam is, B = 22.6º
refractive index of glass, n1= 1.52
refractive index of polystyrene plastic, n2 = 1.59
Now when we see for the second surface then ,
B = 45º - 22.6º
B = 22.40º
So from Snell's law:
n1 sinθ1 = n2 sinθ2
→ sin B / sinθ = n1 / n2
sinθ = (sin 22.40º) × ( 1/ 1.59)
θ = 37.29º
Thus, the deflection angle should be 37.29º if the prism is made of polystyrene plastic.
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Imagine that you are in a car, driving along the main road. Along the road there are signs telling you how far it is to the next town. At the roadside, there many be marker posts every 100 metres. Describe how you could use these roadsigns to work out the average speed of the car.
Pls give a descriptional answer, thank you very much.
The average speed can be calculated by dividing the total distance traveled by the total time taken.
What is the average speed?The average speed of a vehicle can be calculated by finding the ratio of the total distance traveled and the total time taken on the journey.
Average speed = total distance covered/total time taken
Since there are markers that indicate every 100-meter journey. The total number of such marker posts encountered multiplied by 100 will give an estimate of the total distance traveled in meters.
A record of the time taken on the journey will give the total time taken.
Hence, average speed = total number of marker posts x 100/total time.
The unit will be in m/s.
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12. A rear-end collision involved a 40-year-old vehicle. The driver and front-seat passenger both sustained serious neck injuries. Which modern energy-absorbing device protects against such injuries
Head restraints are energy-absorbing device that protects against such injuries.
Head restraints are a car protection characteristic, connected or included into the pinnacle of each seat to restrict the rearward motion of the grownup occupant's head, relative to the torso, in a collision to save you or mitigate whiplash or damage to the cervical vertebrae.
Powerful head restraints are designed to reduce the rearward motion of the head in a rear-end crash and reduce the probability of occupants maintaining whiplash neck injuries. Head restraints are generally known as head rests.
Make certain the top of the top restraint is at least a degree from the pinnacle of your head. The role is the pinnacle restraint so it's as near the again of your head as possible. You may need to alter the again of seat.
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Your washer has power of 450 watts, and your dryer has a power of 3000
watts. How much energy do you use to clean a load of clothes in 1 hour of
washing and 1.5 hours of drying?
OA. 3.11 x 107 J
OB. 1.78 x 107 J
OC. 5.17 x 10³ J
OD. 2.97 x 10³ J
The electrical energy used = 3.11 x 107 J; option A
What is the energy used?The energy used is calculated using the formula below:
Energy = Power × timeThe total power = 3450 Watts
Total time in seconds = 2.5 × 3600 = 9000 s
Energy used = 3450 × 9000 = 3.11 x 107 J
In conclusion, electrical energy is the product of power and time.
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Suppose an acorn with a mass of 3.17 g falls off a tree. At a particular moment during the fall, the acorn has a kinetic energy of 0.119 J and a potential energy of 0.347 J with respect to the ground. How does the acorn's potential and kinetic energy change as it falls
Potential and kinetic energy both decrease with the acorn's falling potential and kinetic energy.
The acorn's potential energy is at its peak when it reaches the top of the tree, yet its kinetic energy is zero (i.e., it is not accelerating).
The height of the ball reduces along with the potential energy as the acorn tumbles down the tree, but the kinetic energy rises (energy due to motion)
The height will be 0 and the kinetic and potential energy will be zero at the ground. This demonstrates that as an item falls, both potential and kinetic energy are lost.
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A spring is 4 cm long. A student hangs a weight of 2N. It is now 5.5 cm long.
(i) What is the extension?
(i) What would be the extension with a weight of 6N?
(ili) What would be the length of the spring with a weight of 8N?
The launching velocity of a missile is 20.0 m/s, and it is shot at 53º above the horizontal. Which of the velocity components (neglecting air resistance) remains constant throughout the flight?
A. Vertical
B. Horizontal
Answer:
The horizontal component of velocity (B) remains constant because no components of the external force act on this component of velocity
(the force of gravity affects the vertical component of velocity)
A spiral spring has a length of 14 cm when a force of 4 N is hung on it. A force of 6 N extends
the spring by 4 cm. Calculate the unstretched length of the spring.
Answer:
bussy
Explanation:
shart
From laboratory measurements, we know that a particular spectral line formed by hydrogen appears at a wavelength of 500 nanometers (nm). The spectrum of a particular star shows the same hydrogen line appearing at a wavelength of 480 nm (a shorter wavelength). What can we conclude
The star is moving toward the earth.
It is due to the phenomenon of the Doppler shift.
The Doppler effect, commonly referred to as "Doppler shift," is the change in the wavelength or frequency of waves as a result of an observer's motion in relation to the wave source.
It is possible to see this apparent wavelength change in the visible light emitted by stars and galaxies.
As a result, a star moving toward Earth appears to emit light with a shorter wavelength than a light source that is stationary. It is known as blueshift because shorter wavelengths cause the spectrum to shift toward the blue end.
While a star traveling away from us appears to shift its light towards longer wavelengths. Astronomers refer to this as redshift since it is closer to the red end of the spectrum.
As the spectrum of a particular star shows the hydrogen line appearing at a shorter wavelength of 480 nm in comparison to the laboratory measurements, that show the same hydrogen lines at a greater wavelength of 500 nanometers, that’s why we conclude that the star is moving toward earth.
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Here, a long solenoid of 20000 turns/meter and r=2 cm is oriented along the z-axis (outer circle). There is a small coil of 10 loops of wire of radius 1 cm concentric with the solenoid and lying in the x-y plane (inner circle). An alternating current of magnitude 10 A switches direction every 0.01 seconds in the solenoid. What is the magnitude of the EMF generated in the small loop, in Volts?
Hello!
Recall that the magnetic field produced by a solenoid with a time-varying current is given by:
[tex]B(t) = \mu_0 ni(t)[/tex]
[tex]B(t)[/tex] = time-varying magnetic field (T)
[tex]\mu_0[/tex] = Permeability of free space (4π × 10⁻⁷ Tm/A)
[tex]n[/tex] = number of turns/meter (20000)
[tex]i(t)[/tex] = time-varying current
**Since we have AC current, we can use a sinusoidal function to represent the current.
Let's now figure out the expression for the current.
The typical format of a sinusoidal function for current is:
[tex]i(t) = Asin(\omega t + \phi)[/tex]
A = amplitude (max current, 10 A)
ω = angular frequency (rad/sec)
φ = phase shift (we will assume there is not one since it is not given.)
We are also assuming we are starting from t = 0 s.
Now we need to solve for the angular frequency to complete our equation.
If the current changes direction every 0.01 seconds, that means that the PERIOD of the current is double this (aka, how long it takes for the current to repeat the same magnitude and direction).
Think about AC current like an oscillating mass on a spring. When the current changes directions, (every 0.01 sec), there is momentarily no current (temporarily no moving charge). The peak current will occur at the halfway point between each change in direction, or every 0.005 sec. Additionally, using this analogy, the mass on a spring changes direction TWICE before it returns to its original position, which is why our period here is double the time it takes for the current to switch directions.
So:
[tex]T = 2(0.01) = 0.02[/tex]
Now, we can convert from period to angular frequency.
[tex]\omega = \frac{2\pi}{T} = \frac{2\pi}{0.02} = 100\pi[/tex]
We have the current equation as:
[tex]i(t) = 10sin(100\pi t)[/tex]
So, our magnetic field produced by the solenoid will be:
[tex]B(t) = (4\pi *10^{-7})(20000)(10sin(100\pi t) )= 0.251sin(100\pi t)[/tex]
Since we have that figured out, we can use Faraday's Law to find the induced emf:
[tex]\epsilon = -N \frac{d\Phi_B}{dt}[/tex]
ε = Induced EMF (V)
N = number of loops in COIL (10 loops)
[tex]\Phi_B[/tex] = Magnetic Flux (Wb)
The area of the coil is constant so we can rewrite the equation as:
[tex]\epsilon = -N * A\frac{dB}{dt}[/tex]
Where 'A' is the cross-sectional area of the COIL.
Let's calculate that:
[tex]A = \pi (0.01^2) = 0.000314 m^2[/tex]
Now, let's calculate the induced emf. Using our equation for 'B' we got earlier:
[tex]B(t) = 0.251sin(100\pi t)\\\\\frac{dB}{dt} = (100\pi)(0.251)cos(100\pi t) = 78.957cos(100\pi t)[/tex]
Combining this into Faraday's equation:
[tex]\epsilon = -N * A\frac{dB}{dt}\\\\\epsilon = -(10)(0.000314)(78.957cos(100\pi t) = -2.48cos(100\pi t)[/tex]
The magnitude is the absolute value, so:
[tex]\epsilon = \boxed{2.48cos(100\pi t) \text{ V}}[/tex]
You ran to a mountain that is 2km high in 30 min. (a) If your mass is 80 kg, find out what potential energy you will have when you reach to the peak of the mountain. (b) How much work is done by you
(a) mass = 80kg
height h= 2km
the potential energy at the peak of the mountain= mgh=80*9.8*2000=1568000J
therefore the potential energy at the peak of the mountain is 1568000J
(b) Work done in reaching the peak will be equal to the change in potential energy = 1568000)
therefore the work done is 1568000J
(c) Power is given by
P=W/t=1568000/(30*60)=871.11W
therefore the Power is 871.11W
The work done by force can be defined as the product of the displacement of an object and the component of the applied force acting in the direction of the displacement of the object.
Potential energy is stored energy that depends on the relative position of different parts of the system. Springs have more potential energy when compressed or stretched. Steel balls have more potential energy to be lifted across the ground than after they have fallen to Earth.
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A 2kg ball rotates on the end of a 1.4m long string. The ball makes 5 revolutions in 4.4s. What is the speed of the ball?
Group of answer choices
a) .88m/s
b) 8.79m/s
c) 9.93m/s
d) 1.99m/s
The speed or the linear velocity of the stone is 9.93 m/s; option C
What is the speed or linear velocity of the stone?The linear velocity of the stone is given by the formula below:
v = wrwhere w is angular velocity and r is radius.
w = θ/t
1 complete revolution = 2π radians
5 revolutions = 10π radians
w = 10π/4.4 rad/s
v = 10π/4.4 rad/s * 1.4
v = 9.93 m/s
In conclusion, the linear velocity is obtained from the angular velocity and radius of the string.
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A circular solenoid contains 100 turns of wire and carries a current of 2 A. Its radius is 1 cm and its length is 10 cm. Calculate the magnetic flux through one turn of the wire making the solenoid.
The magnetic flux through one turn of the wire making the solenoid is 7.88*10^-7 T m^2.
B = unI
= 4pi*10^-7*(100/0.1)*2
= 0.00251 T
Therefore, Flux = B*Area
= 0.00251*pi*(0.01^2)
= 7.88*10^-7 T m^2
Magnetic flux is a measurement of the entire magnetic discipline which passes thru a given vicinity. It's far a useful device for helping describe the outcomes of the magnetic pressure on something occupying a given vicinity. The size of the magnetic flux is tied to the specific location chosen.
The SI unit of magnetic flux is the Weber (Wb). A flux density of 1 Wb/m2 (one Weber in keeping with rectangular meter) is one Tesla (T).
A magnetic subject describes a location in which a magnetic pressure may be felt. Magnetic flux describes how a good deal of magnetic discipline passes through a place.
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You are operating a pwc in an area where swimmers are in the water. When must you slow your pwc to "slow, no wake speed"?.
You should slow your pwc to "slow, no wake speed" when within 100 feet of anchored vessels or non-motorized craft.
What is Slow-no-wake?This is the process of operating a personal watercraft at the slowest possible speed.
This helps to maintain steerage which prevents different forms of accident or risks when in motion in the water.
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The photosynthetic electron transport causes the accumulation of protons in which part of the chloroplast?.
During photosynthetic electron transport, protons accumulate at high concentration inside the thylakoid space.
Photosynthesis:
Plants and other living things employ a process called photosynthesis to transform light energy into chemical energy that can then be released through cellular respiration to power the organism's activities.
The word "photosynthesis" comes from the Greek words "light" and "putting together," and refers to the process of creating molecules of carbohydrates from carbon dioxide and water. These molecules, such as sugars and starches, are then stored with some of this chemical energy. Photoautotrophs are creatures that perform photosynthesis, including most plants, algae, and cyanobacteria. The majority of the energy required for life on Earth is produced and maintained by photosynthesis, which is also substantially responsible for producing and maintaining the oxygen content of the atmosphere.
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What is the formula for calculating the efficiency of a heat engine?
Answer: efficiency =WQH=1−TCTH
Explanation: i looked it up
The total amount of charge that passes through a wire's full cross section at any point per unit of time is referred to as
Answer:
The current in a circuit can be determined as total amount of charge passes through a wire's full cross section area.
Explanation:
what is current?The current is a flow of electrical charge carriers electrons.
The current is denoted with symbol uppercase letter I.
The standard unit for current is the ampere, symbolized by A.
Current is the change in charge with change in time.
Hence we can say that,
The current in a circuit can be determined as total amount of charge passes through a wire's full cross section area.
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Imagine that a star-forming cloud collapses but retains all of its mass in a single blob. In order to conserve angular momentum, the cloud must Choose one: A. spin at the same rate. B. spin faster. C. come to a complete stop. D. spin slower.
Imagine that a star-forming cloud collapses but retains all of its mass in a single blob. In order to conserve angular momentum, the cloud must spin faster.
Conservation of angular momentum is a physical characteristic of a rotational system that keeps its rotation constant unless it is affected by an external torque. In other words, the speed is constant as long as the net torque is zero.
In angular kinematics, conservation of angular momentum refers to the tendency of the system to preserve angular momentum in the absence of external torque. If the objects collide without net external torque, the angular momentum is constant. The two objects exert equal but opposite angular momentums to maintain the full angular momentum of the colliding system.
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A hydroelectric power station (dam) turns energy
from
into
A. Gravitational; Electrical
B. Kinetic; electrical
C. Kinetic; gravitational
O D. Gravitational; Kinetic
A hydroelectric power station turns energy from kinetic into electrical.
What's the function of turbine connected in hydroelectric power station?Turbine is device that is connected in the path of water flow in the hydroelectric power station.So that it is rotated by the current of high speed water in a magnetic field.Due to this rotation, we get current by Faraday's method.Here the rotation of the turbine leads to the kinetic energy that is being converted to electrical energy.Thus, we can conclude that hydroelectric power station turns energy from kinetic into electrical.
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What happens if you move a bar magnet back and forth along the axis of the
coiled wire shown below?
C) A current is induced in the coiled wire, which lights the light bulb
The moving magnetic field creates electricity which lights the light bulb
Hope it helps!
Answer:
C) A current is induced in the coiled wire, which lights the light bulb
Explanation:
Find the mass of a body if the acceleration the body used to move is given as 5 m/s-2 and the force of the body is 30N take g=10 m/s-2
The mass of a body if the acceleration the body used to move is given as 5 m/s-2 will be 3 kg.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
Force is defined as the product of mass and acceleration. Its unit is Newton.
Given data;
Force,F = 30 N
Mass,m = kg
Acceleration,a = 5 m/s²
The force is found as;
F=ma
30 N =m kg × 5 m/s²
m=3 kg
Hence the mass of a body will be 3 kg.
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In terms of net charge, how does an electrically polarized object differ from an electrically charged object?.
Answer:
An electrically polarized object can have zero net charge, while a charged object cannot have zero net charge.
I hope this helps :D
A hobby rocket reaches a height of 72.3 m and lands 111 m from the launch point with no air resistance. What was the angle of launch
Answer:
The angle of launch is 52.49 Degree.
Explanation:
The Range R and Height H of a thrown object is calculated using the formula,
R=V₀² sin(2φ)/g
H=V₀²sin²(φ)/g
From these equations it can be written,
V₀²=R g/ sin(2φ)
V₀²=H g/ sin²(φ)
These values are equal so it can be written by equating these equations,
R g/sin(2φ)=H g/sin²(φ)
tan(φ)= 2H/R
Given H=72.3 m and R=111 m, the angle of launch is,
tan(φ)= 2*72.3/111
φ= 52.49 Degree.
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Suppose a satellite were orbiting the Earth just above the surface. What is its centripetalacceleration?
The centripetal acceleration of the satellite will be less than acceleration due to gravity on earth (g).
Calculation of centripetal acceleration of satellite:
Let the radius of earth be, R
Let the radius of satellite be, R'
Let the gravitational constant be, G
Let the acceleration due to gravity (earth) be, g
Let the mass of earth be M
Step 1:
We know that the orbital velocity of satellite can be given as:
v =√GM/R' - ( 1 )
Thus, the centripetal acceleration of the satellite will be:
a_c = v²/R' = GM/R'² - ( 2 )
The acceleration due to gravity is given as:
g = GM/R² - ( 3 )
Step 2:
From equation 2 and 3 we get:
a_c/g = GM/R'² ÷ GM/R²
a_c/g = R²/R'² < 1
Step 3:
Thus we get:
a_c/g < 1
a_c < g
Therefore, the centripetal acceleration of the satellite is smaller than acceleration due to gravity on earth.
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Pls help. This is about heat. I got the answer, just need the working
Answer:
See below
Explanation:
You have to heat the calorimeter to 100 C from 20 C
this will take .20 kg * 390 j /kg-C * 80 C = 6240 j
You have to heat the mass of water to boiling point (100 C ) from 20C
this will take
.50 kg * 4182 j/kg-C * 80 = 167,280 j
AND you have to add enough heat to boil off .03 kg of water:
.03 kg * (2260000 j/kg-C ) = 67,800 j
Power = joules / sec = (6240 + 167280 + 67800) / 274.8 = 878 watts
Your answer may differ just a bit for slightly different or rounded values of specific heat or heat of fusion for water .....