The total distance covered by the locomotive (toy) during the first and second journey is 10500 meters.
D) The answer is not given in the Options.
What is the total distance covered?Note that: Speed/velocity is distance traveled per unit time.
Speed = Distance ÷ time
Distance = velocity × time
Given that;
For the first journey,
velocity v = 25m/selapsed time t = 5min = (5×60)s = 300sFor the second journey,
velocity v = 10m/selapsed time t = 5min = (5×60)s = 300sDistance covered in the first journey
Distance = velocity × time
Distance = 25m/s × 300s
Distance = 7500m
Distance covered in the second journey
Distance = velocity × time
Distance = 10m/s × 300s
Distance = 3000m
Total distance covered will be;
Total Distance = Distance covered in the first journey + Distance covered in the second journey
Total Distance = 7500m + 3000m
Total Distance = 10500m
Therefore, the total distance covered by the locomotive (toy) during the first and second journey is 10500 meters.
D) The answer is not given in the Options.
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A 6kg block starts from rest against a spring with a spring constant of 500N/m that is compressed by a distance of 2m. The ground is frictionless. What will be the velocity of the block leaving the spring?
The velocity of the block leaving the spring is determined as 18.26 m/s.
Velocity of the block
The velocity of the block leaving the spring is calculated from the principle of conservation of energy.
K.E = Ux
¹/₂mv² = ¹/₂kx²
v² = kx²/m
v² = (500 x 2²)/6
v² = 333.33
v = √333.33
v = 18.26 m/s
Thus, the velocity of the block leaving the spring is determined as 18.26 m/s.
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What are 3 reasons why animals stay in herds?
Answer:
1) Animals form groups to increase their chance of survival.
2) Animals stay in groups because it makes hunting for food easier.
3) Animals can protect their young ones much easier.
Explanation: Hope it helps you :)))))
have a good day
Olivia is on a swing at the playground.
A girl is swinging on a swing set. At W she is about 45 degrees up and to the left. At X she is near the bottom of the swing just to the left. At Y she is near the bottom of the swing just to the right. At Z she is about 45 degrees up and to the right.
If the swing is moving from W to Z, at which point is her kinetic energy increasing and her potential energy decreasing? (based on a starting point of W)
W
X
Y
Z
Mark this and return Save and Exit Next Submit
Olivia is on a swing at the playground. The kinetic energy is increasing and her potential energy decreasing at point X.
What is kinetic energy and potential energy?The kinetic energy of an object is the ability to do work by virtue of its motion and potential energy is the ability to do work by virtue of its position.
At point W and Z, Olivia is at the maximum displacement from the mean position, where kinetic energy is zero and potential energy is maximum.
At point Y, it is approaching to increase its potential energy and decreasing kinetic energy. Opposite to this, at point X, kinetic energy is increasing and potential energy is decreasing.
Thus, the kinetic energy is increasing and her potential energy decreasing at point X.
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Answer:
X
Explanation:
Charina says that when waves interact with an object, they will interfere with the object, and when waves interact with other waves, they will reflect off each other. Do you agree with her? Why or why not?
I disagree with her because interference happens two or more waves interact with one another.
What is Interference?This is a phenomenon where waves pass through each other along intersecting or coincident paths.
This therefore means that waves interacting with an object won't lead to interference in this case.
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Answer: sample response
I disagree with her, because interference happens when waves interact with other waves. Reflection happens when waves interact with an object and bounce off it.
Explanation:
help please number 23 photo down below
The value of a is 5, the value of b is 5/2 if the triangle is a right angle triangle option (B) is correct.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
From the tan ratios:
[tex]\rm tan30 = \dfrac{b}{\dfrac{5\sqrt{3}}{2} }[/tex]
[tex]\rm \dfrac{1}{\sqrt{3} } = \dfrac{b}{\dfrac{5\sqrt{3}}{2} }[/tex]
b = 5/2
From the cos ratio:
[tex]\rm cos30 = \dfrac {\dfrac{5\sqrt{3}}{2}}{a}[/tex]
[tex]\rm \dfrac{\sqrt{3}}{2}= \dfrac {\dfrac{5\sqrt{3}}{2}}{a}[/tex]
a = 5
Thus, the value of a is 5, the value of b is 5/2 if the triangle is a right angle triangle option (B) is correct.
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Three pairs of wooden dowel rods are mounted on a wooden platform. Small plastic cylinders are attached to their ends; the cylinders are colored red, green and blue. Each pair of dowel rods has a different length. One of the red cylinders is pulled back and let go of, causing it to begin vibrating back and forth with one complete cycle every two seconds. The natural frequency of this dowel rod is ______ Hz. a. 0.25 b. 0.50 c. 1.0 d. 2.0
The natural frequency of this dowel rod is determined as 0.5 Hz.
What is frequency?The frequency of an object is the number of complete revolutions per second.
F = n/t
where;
n is number of compete revolutiont is timeF = 1/2
F = 0.5 Hz
Thus, the natural frequency of this dowel rod is determined as 0.5 Hz.
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A 50 Q resistor in a circuit has a current flowing through it of 2.0 A. What is
the power dissipated by the resistor? (Use P-OVI = PR=
SA
A. 100 W
B. 200 W
OC. 50 W
OD. 25 W
Hello!
We can use the following equation for calculating power dissipated by a resistor:
[tex]P = i^2R[/tex]
P = Power (? W)
i = Current through resistor (2.0 A)
R = Resistance of resistor (50Ω)
Plug in the known values and solve.
[tex]P = (2.0^2)(50) = \boxed{\text{ B. }200 W}[/tex]
The visible spectrum refers to the tiny portion of the electromagnetic spectrum that we ________.
Answer:
are able to see/observe
Explanation:
Humans are not able to see most wavelengths in the universe--but there is a select range that is visible to our eyes. This (which is usually shown on an electromagnetic spectrum diagram/chart/depiction by a small portion of rainbow) is the visible light spectrum
The tau neutrino, the muon neutrino, and the electron neutrino are all.
Tau neutrino, the muon neutrino, and the electron neutrino are all the types of neutrino.
What is a neutrino?The term neutrino refers to a type of subatomic particle that is very similar to an electron. The difference between the neutrino and the electron is that the neutrino has no charge.
Tau neutrino, the muon neutrino, and the electron neutrino are all the types of neutrino.
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what term refers to the limited air transfer that takes place once the station has been launched?
A: closed environment
B: exposed environment
C: secure environment
D: open environment
Closed environment refers to the limited air transfer that takes place once the station has been launched.
What is a Closed environment?
This is an environment which has little or no interference with the atmosphere.
Launching of station in a closed environment will help prevent damages done as a result of exposure to radiations etc.
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the yacht shown below has a mass of 8300kg. for land transportation,the yacht is secured on a trailer. each tyre on the trailer can support upto a maximum of 7000N . what is the least number of tyres the trailer should have to support the yacht adequately
1 kg = 9.81N
8300 kg x 9.81 = 81,423N
81,423 / 7000 = 11.63 tires.
The least amount of tires would be 12
3. A block falls from a table 0.6 m high. It lands on a vertical spring which has a spring constant of k= 2400 N/m.
The spring is initially 25 cm high, but it is compressed to a height of 10 cm when it stops the block. Find the mass of
the block.
The length of the ear canal is 2.5 cm and the speed of sound in air is 300 m/s. Which of the following is a reasonable estimate of a frequency that can be heard by the human ear?
Choose 1 answer:
a) .001 Hz
b) 1 Hz
c) 10,000 Hz
d) 100,000 Hz
Show steps please
10,000 Hz is a reasonable estimate of a frequency that can be heard by the human ear.
What frequency heard by human ear?Humans can detect sounds in a frequency range from about 20 Hz to 20000 Hz. Lower than 20 Hz and higher than 20000 Hz can't be heard by the human ear. We can say that 10000 Hz can be hear because it comes in this range
So we can conclude that 10,000 Hz is a reasonable estimate of a frequency that can be heard by the human ear.
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Newton’s first law of motion was a giant leap forward in scientific thought during Newton’s time. Even today, the idea is sometimes difficult at first for people to understand.
Which statement is the best example of an object and motion that would make it hard for people to accept Newton’s first law?
A rolling ball eventually slows down and comes to a stop.
A wagon must be pushed before it begins to move.
The heavier the load in a cart, the harder the cart is to turn.
A box does not move when pushed equally from opposite sides.
Answer:
the heavier the load in a cart ,the harder the cart is to turn
Answer:
C. The Heavier the load the harder the cart is 2 turn
i <3 summerschool
Suppose a=3i-2j+k b=-i-4j+3k and c is avector lying along positive x axis with the property that a(b+c)=0 then find c?
The value of the c will be (0 i+0 j+0 k). c is a vector that is along the positive x-axis and has the condition a(b+c)=0.
What is a vector?A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
Given ;
a=3i-2j+k
b=-i-4j+3k
Given property:
a(b+c)=0
-i-4j+3k ((-i-4j+3k)+c)=0
(3+8+3)(-i-4j+3k)c=0
14(-i-4j+3k)c=0
c=0 i+0 j+0 k
Hence, the value of the c will be (0 i+0 j+0 k).
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Describe how you come in direct contact with at least 5 of the 7 areas of the electromagnetic spectrum each day.
One come in direct contact with micro, radio, radar, infrared and visible waves.
What is electromagnetic spectrum?The electromagnetic spectrum consists of the range of all types of EM radiation. Radiation is packet of energy that travels and spreads out. It has radio waves, infrared waves and visible light waves, ultraviolet rays and microwaves.
They possess high energy even to penetrate deep within the material. electromagnetic spectrum has longer wavelength and less frequency.
Everyday life is completed by artificially made electromagnetic radiation:
Daily food is heated in microwave ovens using micro waves.The airplanes are guided by radar waves,The televisions receive radio waves transmitted by broadcasting stations, and infrared waves used by heaters provide heat.Thus, we come in direct contact of the waves in electromagnetic spectrum.
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Trying to explain a solar eclipse is an example of?
Answer:
scientific inquiry.
Explanation:
scientific inquiry. Scientific inquiry encompasses the many methods through which scientists investigate the nature of reality and provide interpretations based on the data gathered.
A car traveling south is 200 kilometers from its starting point after 2 hours. What is the average velocity of the car?
A. 100 kilometers/hour south
OB. 200 kilometers/hour
O.C. 200 kilometers/hour north
OD. 100 kilometers/hour
Explanation:
Total displacement = 200 km
Total time taken = 2 hour...
Now...
[tex]average \: velocity \: = \frac{total \: displacement}{total \: time \: taken \: } \\ [/tex]
[tex] = \frac{200}{2} \\ [/tex]
= 100 kilometers/hour south
Which is an example of a way that
machines make work easier?
A. They spread a small force over a small
distance.
B. They spread a small force over a larger
distance.
C. They make the force exert all at once.
D. They increase the time it takes to do a task.
Answer:
C Thy make the force exert all at once
Which describes the type of acceleration in the graph?
Answer:
Constant positive acceleration
Explanation:
A boy is trying to roll a bowling ball up a hill, as shown in the image below. If
friction is ignored, what is the minimum initial velocity that the ball must have
for it to reach the top of the hill? (Recall that g = 9.8 m/s²)
22.5 m
O A. 28 m/s
O B. 7 m/s
OC. 14 m/s
OD. 21 m/s
The minimum initial velocity that the ball must have for it to reach the top of the hill is 21 m/s. The correct option is D.
What is mechanical energy?The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.
M.E = KE +PE
A boy is trying to roll a bowling ball up a hill. The friction is ignored. The ball must have to reach the top of the hill with a velocity. The acceleration due to gravity, g = 9.8 m/s²
The conservation of energy principle states that total mechanical energy remains conserved in all situations where there is no external force acting on the system.
M.E bottom of hill = M.E on top of hill
Kinetic energy + Potential energy = Kinetic energy + Potential energy
1/2 mu² + 0 = 0 + mgh
At the top of hill, the velocity will become zero. So, final kinetic energy is zero.
Substituting the values, we have
1/2 x u² = 9.8 x 22.5
u = sqrt [2 x9.8 x 22.5 ]
u= 21 m/s
Thus, the minimum initial velocity that the ball must have for it to reach the top of the hill is 21 m/s.
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In Ancient Greece, athletes competing in the long jump used handheld weights called halteres to lengthen their jumps. You are a 78 kg history major on the track and field team and decide to try this strategy. You jump at 10.3 m/s, 22.8 degrees above the horizontal. At the peak of your jump you throw two 5.5 kg masses horizontally behind you such that their velocity is zero in the ground's reference frame. What distance do the halteres add to the jump in m
The halter add the distance to the jump in meters is 0.55 m.
What is projectile?When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion is called the projectile.
The magnitude of velocity u =10.3 m/s, angle of jumping θ = 22.8 degrees.
Components of velocity in x and y direction are
Vx = 10.3 cos 22.8 = 9.5 m/s
Vy = 10.3 sin 22.8 = 4 m/s
Maximum Range of athlete achieved using halter is given by
R = u²sin2θ /g
where, u = initial velocity, θ is the angle of projection and g is the gravitational acceleration.
Substituting the values, we get
R = (10.3)² sin(2 x 22.8 °) / 2 x 9.81
R = 7.75m
At the peak of jump you throw two 5.5 kg masses horizontally behind you such that their velocity is zero in the ground's reference frame.
The momentum is conserved in this situation,
(M+2m)Vxo =MVx'
Vx' = (M+2m)/M x Vxo'
Change in x component of velocity ΔVx = Vx' -Vxo
Vxo = 2m/M x Vx
Vxo = 2 x 5.5 /78 x 9.5
Vxo = 1.34 s
Maximum height gained when final velocity is zero
Vy = 0 = Vyo -gt
time t = Vyo/g = 4/9.8 = 0.41s'
Increase in range by using of halters is
ΔR = ΔVx' x t
ΔR = 1.34 x 0.41
ΔR =0.55m
Thus, the halter add the distance to the jump in meters is 0.55 m.
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what is the acceleration of the train
Answer:
a=1.94 ms−2. is acceleration of the train
What happens to the lifetime of stars as they become more massive?.
What is the time required for an object starting from rest.
17.
_______ energy is energy that is stored or waiting to be used.
Mechanical
Kinetic
Electrical
Potential
A roller coaster is traveling at 13 m/s when it approaches a hill that is 400 m long. Heading down the hill, it accelerates at 4.0 m/s2. What is the final velocity of the roller coaster? Round your answer to the nearest whole number.
4. Describe the process of fusion in the sun.
Answer:
In the core of the Sun hydrogen is being converted into helium. This is called nuclear fusion. It takes four hydrogen atoms to fuse into each helium atom. During the process some of the mass is converted into energy.
Answer:
Hydrogen in the middle of the sun is being converted into helium. This helium that was just converted from hydrogen (air as we know it) is now called Nuclear Fusion.
Explanation:
4.09 Lab: Sunrise, Sunset
4.Based on your observations, describe how the length of day is affected by latitude in the summer and in the winter. In your explanation, explain which latitudes are affected most by the seasonal change and which latitudes are affected least.
Latitude affects the length of the day due to the inclination of its axial tilt, which also influences the reception of sunlight.
What is Earth's inclination?Earth's inclination makes reference to its axial tilt which is approximately 23.5 degrees.
Earth's inclination influence the amount of sunlight received by the Earth's surface, thereby affecting the length of the day at different latitudes.
This difference is more marked at high latitudes and near the Earth's poles, we have six months of plenty of light and six months of night.
In conclusion, latitude affects the length of the day due to the inclination of its axial tilt which also influences the reception of sunlight.
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Assuming the frequency stays the same, will a sound wave have a larger or smaller wavelength when it passes from room temperature air (20°C) to water? Explain your answer with math, words, or both.
Answer:
The wavelength of this sound wave would be longer in water than in the air.
Explanation:
Let [tex]f[/tex] denote the frequency of this sound wave (standard unit: [tex]\rm s^{-1}[/tex].)
If the speed of sound in a particular medium is [tex]v[/tex] (standard unit: [tex]{\rm m \cdot s^{-1}}[/tex],) the wavelength [tex]\lambda[/tex] of this wave in that medium would be:
[tex]\begin{aligned} \lambda = \frac{v}{f} && \genfrac{}{}{0}{}{(\text{standard unit: ${\rm m \cdot s^{-1}}$})}{(\text{standard unit: ${\rm s^{-1}}$})}\end{aligned}[/tex].
Let [tex]v_\text{water}[/tex] denote the speed of sound in water and let [tex]v_\text{air}[/tex] denote the speed of sound in the air at room temperature.
The wavelength of this sound wave in water would be:
[tex]\displaystyle \lambda_{\text{water}} = \frac{v_{\text{water}}}{f}[/tex].
The wavelength of this sound wave in the air at room temperature would be:
[tex]\displaystyle \lambda_{\text{air}} = \frac{v_{\text{air}}}{f}[/tex].
Fact: the speed of sound in water (a liquid) is greater than the speed of sound in air at room temperature. In other words:
[tex]v_{\text{water}} > v_{\text{air}}[/tex].
Given that [tex]f > 0[/tex]:
[tex]\begin{aligned} \frac{v_{\text{water}}}{f} > \frac{v_{\text{air}}}{f}\end{aligned}[/tex].
Therefore:
[tex]\begin{aligned} \lambda_{\text{water}} > \lambda_{\text{air}}\end{aligned}[/tex].