Answers
Answer:
v = 0.166 [mm/min]
Explanation:
To solve this problem we must calculate the speed of each bus by means of the following formula that relates the displacement with time.
V = displacement / time
displacement = 250 [mm]
time = 5[min] = 300 [s]
Vx = 250/300 = 0.833[mm/min]
Vy = 300/300 = 1 [mm/min]
The relative velocity is the subtraction of the velocities, since the velocities are in opposite directions.
v = (1 - 0.833) = 0.166 [mm/min]
Related Questions
I need help with one of my physics question
Answers
A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
Answers
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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1. A book resting on a shelf was found
to have a gravitational potential energy
of 12 J relative to the ground. If the
book falls to the ground, neglecting air
resistance, what is the kinetic energy of
the book just as it was about to hit the
ground?
Answers
Answer:
12J
Explanation:
Right before it hits the ground, the initial potential energy and the final kinetic energy will equal each other due to conservation of energy.
A roller coaster has a mass of 450 kgIt sits at the top of a hill with height 49 m. If it drops from this hill, how fast is it going when it reaches the bottom? Assume there is no air resistance or friction.)
Answers
The speed of the roller coater at the bottom of the hill is 31 m/s.
Speed of the roller coater at the bottom of the hill
Apply the principle of conservation of mechanical energy as follows;
K.E(bottom) = P.E(top)
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
v is the speed of the coater at bottom hillh is the height of the hillg is acceleration due to gravityv = √(2 x 9.8 x 49)
v = 31 m/s
Thus, the speed of the roller coater at the bottom of the hill is 31 m/s.
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The power P radiated by a loudspeaker at a rock concert is 50 W at a frequency of 1000 Hz.
a) Assuming that the speaker sends the sound waves uniformly in all direction, what is the
intensity I at a distance of 20 meters from the speaker.
b) At what distance will the sound intensity be at the threshold of pain of 1.00 W/m2?
Answers
The intensity of waves is 9.96 × 10⁻³W/m².
Power radiated, P = 50 W
Frequency of the sound, f = 1000 Hz
a) Distance, r = 20 m
The intensity of waves,
I = P/4πr²
I = 50/(4π × 20²)
I = 9.96 × 10⁻³W/m²
b) We know that, the intensity of waves,
I ∝ 1/r²
So, I/I' = (r'/r)²
Therefore,
r' = r(√I/I')
r' = 20(√9.96 × 10⁻³/1)
r' = 0.19 m
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Type your answer in the box.
An organ is a group of two or more
function.
that work together to perform a common function
Answers
A 1000 kg car crashed into a barrier. The car changed speed from 30 m/s to 20 m/s in 0.2 seconds. What force did the barrier apply to stop the car?
Answers
Answer:
Force = -50000 Newton
Explanation:
Given the following data;
Initial velocity, u = 30 m/s
Final velocity, v = 20 m/s
Time = 0.2secs
Mass = 1000 kg
First of all, we have to solve for its acceleration.
Acceleration = (v - u)/t
Substituting into the equation, we have
Acceleration = 20 - 30)/0.2
Acceleration = -10/0.2
Acceleration = -50m/s²
To find the force;
Force = mass * acceleration
Force = 1000 * (-50)
Force = -50000 Newton. The value of the force is negative because it stopped the motion of the car.
Therefore, the barrier applied a force of -5,0000 Newtons to stop the car.
Answer: -50000
Explanation:
what is statutory motion ! list two examples .
Answers
A statutory motion at an annual general meeting means a motion to: present the body corporate's accounts for the financial year. ... review each insurance policy held by the body corporate.
Have a beautiful day
A motorist travels first part of a trip at an average speed of 35 km/h and covers an equal distance in the second part. If he has completed his trip at an average speed of 21 km/h then his average speed in the second half is ------- km/h
Answers
The average speed of the motorist in the second half of the journey is determined as 7 km/h.
What is average speed?The average speed of an object is the ratio of total distance to total time of motion.
Let his average speed in the second half = x21 = (35 + x) / 2
35 + x = 42
x = 42 - 35
x = 7 km/h
Thus, the average speed of the motorist in the second half of the journey is determined as 7 km/h.
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define gravitational potential energy in your own words?
Answers
Answer:
The energy that an object has due to its location in a gravitational field is known as gravitational potential energy. When an object is close to the surface of the Earth, when the gravitational acceleration can be assumed to remain constant at roughly 9.8 m/s2, gravitational potential energy is most frequently used.
Explanation:
the figure(figure 1) shows a particle of mass m at distance x along the axis of a very thin ring of mass m and radius r. calculate the gravitational potential energy of these two masses. use what you know about the relationship between force and potential energy to find the magnitude of the gravitational force on m when it is at position x>0 .
Answers
Gravitational potential energy of these two masses is -2GM ((√r²+x²)-x)
r²
What is gravitational potential energy?
Potential energy is accumulated as a result of the work required to displace a mass (m) from infinity to a position inside the gravitational field of a source mass (M) without accelerating it. These are referred to as gravitational potential energies. The sign Ug is used to denote it.
We are aware that a body's stored energy in a certain position is what is meant by the term potential energy of a body. The change in potential energy is equal to the amount of work done on the body by the applied external forces if the body's position changes as a result of the application of those forces.
Let's break the disc into small rings
dm− mass of the ring,
So. dm=2πrdr× M
πr²
So, potential dP= −Gdm
√(x² +r²)
So, dP= G.2πxtanϕxsec 2 ϕdϕ
(x√( 1+tan 2 ϕ )) πr²
⇒P= −2GMx ∫ tan (R/x) tanϕsecϕdϕ
r²
⇒P= −2GMx {1− 1 }
r² cos(tan 2 (R/x))
⇒P= -2GM((√r²+x²)-x)
r²
Hence, gravitational potential energy of these two masses is -2GM((√r²+x²)-x)
r²
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6. Which of the following types of energy is not lost when energy is
transferred between one of the Earth's four physical systems?*
heat
light
sound
nuclear
vibration
movement
Answers
Answer:
heat light sound viberation
Explanation:
i'm built different
what determines the amplitude of a wave of the type shown
Answers
a healthy person has a body temperature of 37 degree celsius. if they jump into an ice bath after sports training their temperature only decreases slowly. how can you explain this when a lump of metal at 37 celsius degree placed in the same ice bath cools down to 0 celsius degree in only a couple of minutes
Answers
1. Heat Capacity: The heat capacity of the human body is much higher than that of a small lump of metal. The human body has a large mass and contains a significant amount of water, which has a high heat capacity. This means that it requires more energy to change the temperature of the body compared to a small metal object. As a result, the body cools down more slowly in the ice bath.
2. Insulation: The human body is well-insulated with layers of skin, fat, and clothing. These layers act as thermal barriers and slow down the transfer of heat between the body and the surroundings. On the other hand, a small metal object does not have any significant insulation, allowing heat to transfer more rapidly to the colder environment.
3. Biological Regulation: The human body has mechanisms to regulate its temperature, such as vasoconstriction (narrowing of blood vessels) and shivering, which help generate heat and maintain core temperature. These regulatory processes help to slow down the cooling process and preserve the body's temperature within a narrow range.
4. Surface Area-to-Volume Ratio: The surface area-to-volume ratio is higher for a small lump of metal compared to a human body. A higher surface area facilitates faster heat transfer. Since the metal object has a relatively larger surface area compared to its volume, it cools down more quickly in the ice bath.
Overall, the combination of the human body's higher heat capacity, insulation, biological regulation, and lower surface area-to-volume ratio compared to a small metal object contributes to the slower cooling rate when immersed in an ice bath.
Which example is a simple machine?
1. ramp
2. bicycle
3. car
4. steering wheel system of a boat
Answers
Answer:
Ramp
Explanation:
All of the other things are fairly complex, bikes have to be made with multiple parts so do cars and steering wheels are another part of a boat, a ramp usually consists of two or fewer parts making it the simplest.
What is the total resistance in the circuit?
Answers
The total resistance in the circuit is 30 ohms. Option d is correct.
In an electric circuit, resistors can be connected in different ways, such as in series or parallel. When resistors are connected in series, the total resistance is equal to the sum of the individual resistances. This is because the same current flows through each resistor, and the total voltage across the resistors is divided among them.
The resistances in series is the sum of all resistances. The three resistances are, 10 ohms, 15 ohms and 5 ohms. Therefore,
Total Resistance = 10 ohms + 15 ohms + 5 ohms = 30 ohms.
Hence, option d is correct.
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What is the answer to question which statement correctly describes a characteristic that a scientific measuring tool should have ?
Answers
To be accurate, a scientific measuring instrument needs to be able to provide repeatable observations of a quantity.
How can you be scientific?of, pertaining to, or showing the scientific concepts or procedures. conducted scientifically or in accordance with findings of scientific investigation: by practicing or employing comprehensive or orderly procedures. advertising using science.
Who is referred to as scientific?A scientist is a person who methodically acquires data and uses it to form hypotheses, test those assumptions and further knowledge and understanding. Additional characteristics of a scientist include: their methodology, such as their use of statistics.
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An airplane flying at 222 meters per second passes over a region where Earth's magnetic field is 5.79 x 10-5 teslas and is nearly vertical. What voltage is induced between the plane's wing tips, which are 68.1 meters apart? Include units in your answer. Answer must be in 3 significant digits.
Answers
Given:
Velocity of the plane = 222 m/s
Magnetic field of the region = 5.79 x 10⁻⁵ T
Distance between wing tis = 68.1 m
Let's find the induced voltage between the plane's wing tips.
First apply the rate of change of area between the wing tips:
\(r=v*d\)Where:
r is the rate of change of area
v is the velocity of plane
d is the distance between wing tips
Thus, we have:
\(r=222*68.1=15118.2\text{ m}^2\text{ /s}\)Now, to find the induced voltage, apply the formula:
\(v_{ind}=r*T\)Plug in the values and solve for the induced voltage:
\(\begin{gathered} v_{ind}=15118.2*5.79\times10^{-5} \\ \\ v_{ind}=0.875\text{ v} \end{gathered}\)Therefore, the induced voltage is 0.875 volts.
ANSWER:
0.875 v
An energetic child runs forward and backward. It's motion is shown on the following graph of horizontal position x vs time t
Answers
Answer: 0.50 m/s
Explanation: it’s on khan academy this was the correct answer
An energetic child runs forward and backward. Its motion is shown on the following graph of horizontal position x vs. time t.
What is the instantaneous speed of the child at t = 10 s?
Answer:
Answer: 0.50 m/s
The wire A and B are made of copper. Both w
wires are in
long but wire A is 1mm thick and wire B is 2mm thick, the
specific resistance is
a) more than A
b) more than B
c) same for both
d) cannot compared
Answers
the advantage of being heterozygous at the mhc is to increase the likelihood to have improved anti-pathogen immune response.
Answers
Answer:
Explanation:
Yes, that is correct. Heterozygosity at the major histocompatibility complex (MHC) can increase the diversity of antigens that can be recognized by the immune system, thereby increasing the likelihood of an improved immune response to various pathogens. This is known as heterozygote advantage or overdominance, and it is thought to be one reason why genetic diversity is maintained in natural populations.
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
Answers
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
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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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my uq xbbbnxnjjxjxusjhhhwhhhnn he c x. Yes suhsjjdhhehy yes eirui
M I was going ask m
Iqijjm.ndjbh
Answers
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 :)
Gravitational potential energy is proportional to both mass and height above a reference level. Is this true or false?
Answers
Gravitational Potential Energy:
The gravitational potential energy is the energy that an object has due to its position relative to some reference level in a gravitational field.
Mathematically, the gravitational potential energy is given by
\(U=m\cdot g\cdot h\)Where m is the mass, h is the height, and g is the gravitational field.
As you can see, the gravitational potential energy is proportional to both mass and height.
The greater the mass and height is, the greater will be the gravitational potential energy.
Therefore, the given statement that "the gravitational potential energy is proportional to both mass and height above a reference level" is true.
HELPPPPPP
i need to turn this assignment in soon!
Answers
Answer:
A B C
Explanation:
I think that is right. Sorry if it's not
Hope this helps :)
Which type of electromagnetic radiation is used to keep food warm?
O A. Infrared radiation
O B. Visible light
O C. Gamma rays
D. X-rays
Answers
Answer:
A. infrared
Explanation:
Heat lamps used to keep foods warm are infrared on the light spectrum
In which of these sports can one not observe the Magnus effect?
Answers
The Magnus effect can not be observed in skiing.
What is the Magnus effect?Magnus' effect: When there is relative motion between the spinning body and the fluid, a sideways force is generated on a rotating cylindrical or spherical solid immersed in the fluid (liquid or gas). The effect, bears the name H.G. Magnus Phenomenon, after the German scientist and chemist who first experimentally explored the effect in 1853.
The ball is pushed higher into the air by the Magnus Effect, which has an equal-and-opposite effect to the friction between the air and the ball.
A deflection in the direction perpendicular to the spinning axis and the velocity vector results from the spinning. Tennis players frequently use top or backspin when striking the ball.
When a fastball has a backspin, the upward Magnus Effect works against gravity to keep the ball in the air longer. When a curveball has topspin, however, the downward Magnus Effect works in favor of gravity to shorten the baseball's flight.
In skiing, there is no Magnus effect
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In which of these sports can one not observe the Magnus effect?
a) Baseball
b) Tennis
c) Basketball
d) Skiing
The air of an average sneeze travels around 100 miles an hour. Rebecca believes a sneeze induced by a stimulant will produce air that travels at a faster speed than the typical 100 miles per hour. She designs an experiment to induce sneezing. She subjects four participants to different stimulants: pepper, bright light, pollen, and fizzy soda. Once a sneeze is induced, Rebecca measures how fast the air traveled through the nasal passage.
Which statement WOULD NOT be an appropriate hypothesis for Rebecca's experiment?
A Induced sneezes move air at a faster speed than naturally occurring sneezes.
B There is no difference in air speed of induced versus naturally occurring sneezes.
C Using pepper as a stimulant induces more sneezing than any other stimulants.
D All sneezes move air at the same rate of speed.
Answers
Based on the study conducted by Rebecca, the statement that would not be an appropriate hypothesis for Rebecca's experiment is:
Using pepper as a stimulant induces more sneezing than any other stimulant; option CWhat is a hypothesis?A hypothesis is an explanation that is given in the form of a statement to explain an observation based on limited evidence and which serves as a starting point for further investigation.
A hypothesis may or may not be true and must be investigated to prove or disprove it.
Experiments are conducted to prove or disprove a given hypothesis.
A hypothesis is divided into a null and an alternate hypothesis.
A null hypothesis is a hypothesis that state that the treatment given to the subjects of the experiment does not produce any significant effect.
An alternate hypothesis states that the treatment given to the subjects of the experiment produces significant effects on the subjects.
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assignment questions
Answers
Answer:
which on a is the question
In hiking, what fitness component is required of you