The maximum acceleration will be 1.6m/s^2
Let a1 = 5.0m/s^2
the maximum acceleration of the truck alone. The force produced by the engine to accelerate the truck in this situation is
F = ma1
with m being the mass of the truck alone.
If we attach a bus of twice the mass of the truck, now the whole system (truck+bus) has a mass of (m+2m)=3m. And in this case, the force produced by the engine is
F = 3ma2
with a2 being the new acceleration.
The engine is always the same, so the force produced is still the same, so we can equalize F written in the first equation and in the second equation:
ma1 = 3ma2
and find a2, the new acceleration
a2 = ma1/3
a2 = 5/3 m/s^2
Therefore a2 = 1.6m/s^2
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I need help with the question above in the image.
Answer:
12.6 s
Explanation:
y = 1/2 at^2
780.1 = 1/2 ( 9.81) t^2 answer can only have 3 s.d. due to the 9.81
t = 12.6 s
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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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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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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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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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 mirror setting leaves large areas that cannot be seen in the mirrors on both sides of the vehicles
Convex mirror is used on both sides of the vehicle to see large areas.
To find the answer, we need to know about convex mirror.
What is convex mirror?
Convex mirror is a spherical mirror. Its reflecting surface bluges towards the light source. It's also called diverging mirror as it diverges the light rays fall on it.How can we see large areas with convex mirror?As convex mirror is a diverging mirror, so it reduces the size of an object in front of it. Thus, it provides more space in the mirror to capture a larger amount of rays coming from wider angles from bigger objects.Thus, we can conclude that the convex mirror is used on both sides of the mirror to view large areas.
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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 .....
A student walks 50 meters east, 40 meters north, 35 meters east, and then 20 m south. What is the magnitude and direction of the student's total displacement
Answer: A student walks 50 meters east, 40 meters north, 35 meters east, and then 20 m south. Then the magnitude and direction of the student's total displacement will be 87.32 m along the direction of AD or in east-south direction.
Explanation: To find the correct answer, we need to know about the Displacement of a body in motion.
What is displacement of a body in motion?The displacement is the shortest distance between initial and final positions of a body.It's a vector quantity, and can positive, negative, or zero.The magnitude of displacement is less than or equal to the distance travelled.How to solve the problem?At first, we can draw a diagram showing the motion of the body.From the diagram, the displacement of the body will be equal to the distance between point A and D.To solve this, we can use Pythagoras theorem.[tex]AD=AC+CD\\AC^{2} =50^{2} +11^2\\AC=51.19 m\\Similarly,\\CD^2=35^2+9^2\\CD=36.13 m\\thus, \\AD=51.19+36.13=87.32 m[/tex]
Thus, from the above calculations, we can conclude that, the displacement of the body will be equal to 87.32 m along the direction of AD or in east-south direction.
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A boy and a girl are riding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration?
The boy near the outer edge has the greater centripetal acceleration.
As the merry- go- round is turning at a constant rate, it means it has constant angular velocity.
The rate at which a particle or an object rotates around a specific point or center within a given period of time is known as its angular velocity.
In terms of angular velocity,
Centripetal acceleration [tex]a_{C} = rw^{2}[/tex]
where, r is the radius of the circle
and w is the angular velocity
At the constant angular velocity
Centripetal acceleration is directly proportional to the radius of the circle. [tex]a_{C}[/tex] [tex]\alpha[/tex] [tex]r[/tex]
It means as the radius of the circle increases, centripetal acceleration also increases and vice versa.
As the boy near the outer edge has a larger radius in comparison to the girl towards the center.
That’s why when a boy and a girl are riding a merry-go-round which is turning at a constant rate, the boy who is near the outer edge will have the greater centripetal acceleration.
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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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The oceanic Nazca plate is being subducted beneath the continental South American plate. Which type of plate boundary is this?
eanic convergent
Answer:
ocean-continent convergent boundaries
Examples of ocean-continent convergent boundaries are subduction of the Nazca Plate under South America (which has created the Andes Range) and subduction of the Juan de Fuca Plate under North America (creating the mountains Garibaldi, Baker, St.
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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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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If the Earth were twice as far away from the Sun, the force of gravity attracting Earth to the Sun would be
Answer:
1/4
Explanation:
Fgravity is proprtional to 1 / r^2
now double r to 2r
1 / (2r)^2 = 1/4 * 1/r^2 <======this shows the force to be reduced to 1/4 of original when the distance is doubled
An electric furnace that draws 40 amps with an applied voltage of 240 V will consume ________ watts.
The electric furnace will consume 9600 watt of power.
To find the answer, we need to know about the electric power.
What's the electric power?Electric power is defined as the product of voltage and current.Mathematically, power= V×IIts si unit is watt.What will be the power consumed by an electric furnace that draws 40A with an applied voltage of 240V?The power = 240×40 = 9600 watt
Thus, we can conclude that the power consumption of the electric furnace is 9600 watt.
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What is the distance traveled by an object that moves with an average velocity of 8.0 m/s for a total of 4.0 seconds
if V=8.0secs ,T=4.0secs D=s×t 8.0×4.0=32m
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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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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A metal ball of mass 2kg moving with speed of 10 m/s undergoes a head collision with Stationary ball of mass 3 kg. If arfter collision, both the balls move together What is the loss in kinetic energy due to collision.
Answer:
Loss in kinetic energy = 60 J
Explanation:
We have to first calculate the final velocity of the objects to find the final kinetic energy.
• Using the law of conservation of momentum:
[tex]m_1 u_1 + m_2 u_2 =m_1 v_1 + m_2 v_2\\\\[/tex]
⇒ 2 × 10 + 0 = (2 + 3)v
⇒ v = [tex]\frac{20}{5}[/tex]
⇒ v = 4 m/s
• Initial kinetic energy = [tex]\frac{1}{2}[/tex] × 2 × (10)²
= 100 J
• Final kinetic energy = [tex]\frac{1}{2}[/tex] × (2 + 3) × (4)²
= 40 J
∴ Loss in kinetic energy = 100 - 40
= 60 J
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:
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
A boy is pushing a 60 KG box along the floor by applying a horizontal force of 115 and the box is accelerating at a rate of 0.5 m/s^2 what is the coefficient of kinetic friction between the box and the floor
The coefficient of kinetic friction between the box and the floor will be 3.83.
What is the friction force?It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).
it is defined as the product of the coefficient of friction and normal reaction.
Given data;
m is the mass of a boy = 60 kg
Horizontal force,f = 115 N
The coefficient of kinetic friction between the box and the floor,μ
Acceleration,a = 0.5 m/s²
The friction force is found as;
f = μN
The normal force is found as;
N =ma
f=μma
115 N = μ × 60 kg × 0.5 m/s²
μ = 3.83
Hence, the coefficient of kinetic friction between the box and the floor will be 3.83.
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A 1,160 kg satellite orbits earth with a tangential speed of 7,446 m/s. if the satellite experiences a centripetal force of 8,955 n, what is the height of the satellite above the surface of earth? recall that earth’s radius is 6.38 × 106 m and earth’s mass is 5.97 × 1024 kg. 3.71 × 1028 m 8.02 × 105 m 7.20 × 105 m 9.67 × 1028 m
The satellite is 8.02 × 10⁵ m above Earth's surface.
Let H be the height above the surface of the Earth; since we know that the satellite is rotating around the Earth due to the gravitational pull of the planet, we may assert
Procedure to solve:
F = mv²/R+H
H = mv²/F - R
H = (1160 × 7446²/8955 - 6.38 × 10⁶)
M = 8.02 × 10⁵ m
About centripetal force:
The force applied to an item that is in velocity of curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force.
The centripetal force formula is given as the product of mass (in kg) and tangential velocity (in meters per second) squared, divided by the radius (in meters) that implies that on doubling the tangential velocity, the centripetal force will be quadrupled. Mathematically it is written as:
F = mv²/r
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Answer:
8.02x 10^5 m
Explanation:
quiz
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
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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The Sun is a star that is in a stable state called the main sequence.
Describe the evidence that suggests some stars are moving away from Earth.
Why do we use atomic models?
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 table lists the weights of a 80 kg person on different planets. list these planets in decreasing order of mass.
The order of planets according to their decreasing mass is:
Jupiter: 1.8986 x 10²⁷ kilogramsSaturn: 5.6846 x 10²⁶ kilogramsNeptune: 10.243 x 10²⁵ kilogramsUranus: 8.6810 x 10²⁵ kilogramsEarth: 5.9736 x 10²⁴ kilogramsVenus: 4.8685 x 10²⁴ kilogramsMars: 6.4185 x 10²³ kilogramsMercury: 3.3022 x 10²³ kilogramsWhat determines the weight of an object?The weight of an object is determined by the mass and the acceleration due to gravity, g.
The greater the value of g, the more the weight of the body and vice versa.
Weight = mass * acceleration due to gravityAlso, the more massive a planet or star is, the stronger the gravitational force it exerts. However, an increase in the radius of the planet results in a smaller gravitational force.
Thus, the order of planets according to their mass is:
Jupiter: 1.8986 x 10²⁷ kilogramsSaturn: 5.6846 x 10²⁶ kilogramsNeptune: 10.243 x 10²⁵ kilogramsUranus: 8.6810 x 10²⁵ kilogramsEarth: 5.9736 x 10²⁴ kilogramsVenus: 4.8685 x 10²⁴ kilogramsMars: 6.4185 x 10²³ kilogramsMercury: 3.3022 x 10²³ kilogramsIn conclusion, the greater the mass of a planet, thee higher the weight of objects on its surface.
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