(a) The time it takes for the police officer to catch up to the speeding car is determined as 0.31 s.
(b) The speed of the police officer at the time he catches up to the driver is 136.8 km/h.
Time of motion of the police
The time taken for the police to catch up with the driver is calculated as follows;
v = at
where;
a is acceleration = 11.8 km/h/s, = 3.278 m/s²v is velocity = 135 km/h = 37.5 m/st = v/a
t = 37.5/3.278
t = 11.4 seconds
(v1 - v2)t = ¹/₂at² --- (1)
(v1 - v2)t = v1²/2a --- (2)
From (1):
(v1 - 37.5)t = ¹/₂(3.278)t²
(v1 - 37.5)t = 1.639t²
v1 - 37.5 = 1.639t
v1 = 1.639t + 37.5 -----(3)
From (2):
(v1 - 37.5)t = v1²/(2 x 3.278)
(v1 - 37.5)t = 0.153 ----- (4)
solve 3 and 4;
(1.639t + 37.5 - 37.5)t = 0.153
1.639t² = 0.153
t² = 0.0933
t = 0.31 s
Speed of the police officerv1 = 1.639(0.31) + 37.5 = 38 m/s = 136.8 km/h
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A good long distance runner has an average speed of 5.5m/a. How far would the runner go in 30 mins
Explanation:
if the runner maintains an average speed of 5.5 m/s
we can use the formula
vt = d
hence the answer would be:
5.5 × (30 × 60)
note: we have to convert meter to second which is the SI unit.
answer: 4950 meters
4. A lens has a focal length of 2m. A pencil is placed 3m from the lens.
a. Where will the image of the pencil be formed? (show all work) (3 marks)
I
b. Is the image inverted or upright? How do you know? (1 mark)
(a) The distance of the image of the pencil from the lens is determined as 6 m.
(b) The image formed is upright, because it is magnified.
Image distance
The distance of the image formed is determined by applying lens formula as shown below;
1/f = 1/v + 1/u
1/v = 1/f - 1/u
1/v = 1/2 - 1/3
1/v = (3 - 2)/6
1/v = 1/6
v = 6 m
Magnification of the imageM = v/u
M = 6/3
M = 2
A convex lens forms an upright and magnified image.
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In dc electrode positive, how much power is at the work clamp?.
Answer:
1/3 power
Explanation:
I'm just a smart guy
True or False: A sound wave causes particles of air to travel from the source of sound (e.g., the speaker) to the listener's ear. Explain your answer.
It is True that A sound wave causes particles of air to travel from the source of sound (e.g., the speaker) to the listener's ear : This is because of the collision of the air particles that is caused by the wave.
Meaning of sound waveA sound wave can be defined as first a mechanical wave because it needs a medium to propagate.
A sound wave is an acoustic disturbance that is caused by the movement of energy traveling through a medium that is air, water etc.
In conclusion, It is True that A sound wave causes particles of air to travel from the source of sound (e.g., the speaker) to the listener's ear : This is because of the collision of the air particles that is caused by the wave.
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An object that is initially not rotating has a constant torque of 3.6 N⋅m applied to it. The object has a moment of inertia of 6 kg⋅m2.What is the magnitude of the angular acceleration of the object?
[Please answer if you know]
Answer:
0.6
Explanation:
Angular acceleration is equal to Net Torque divided by rotational inertia, which is the rotational equivalent to Newton’s 2nd Law. Therefore, angular acceleration is equal to 3.6/6 which is 0.6. Hope this helped!
when a metal sphere is dropped in to a tall cylinder containing liquid its acceleration is g÷2 (gravity over 2) show that : density of metal =2density of liquid
The density of the metal is twice the density of liquid since acceleration, a is half of accelerating due to gravity, g.
What is the relationship between acceleration and density?For a solid falling through a viscous fluid, the acceleration of the object decreases until it attains terminal velocity.
The acceleration of the body increases with increase in density of the solid.
When density of solid = density of liquid, acceleration a = g
When density of solid = 2 × density of the liquid, acceleration a = g/2.
Therefore, the density of the metal is twice the density of liquid since acceleration, a is half of accelerating due to gravity, g.
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As stream discharge increases ________. only velocity increases velocity, width, and depth increase velocity, width, and depth decrease only depth increases
As stream discharge increases, only velocity increases.
What is discharge?The discharge or volume flow rate is defined as the product of the velocity of the fluid and the area of cross- section of the pipe or tube.
Discharge Q = Area A x Velocity V
Q = AV
The discharge is directly proportional to the velocity of the fluid. When discharge increases, velocity is the only physical quantity that can be changed.
Thus, As stream discharge increases, only velocity increases.
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How does gravity relate to potential energy?
Answer:
the potential energy a massive object has in relation to another massive object due to gravity
Answer:
PE uses the acceleration of gravity in its calculation definition
Explanation:
Potential Energy = mass * acceleration of gravity * height
How many million kilometers is one astronomical unit.
Answer:
150 million kilometres
Explanation:
The astronomical unit (symbol: au, or AU or AU) is a unit of length, roughly the distance from Earth to the Sun and equal to 150 million kilometres (93 million miles) or 8.3 light minutes.
The fastest train in the world moves at 500 km/hr. How far will it go in 3 hours?
Answer:
1500 because i aded 500+500+500= 1500 km/hr thats how i got my answer
Explanation:
Answer:
1500 kmh
Explanation:
500+500+500 making it 1500
This photograph shows a person using a type of wave technology. Which need or want does this technology meet?
A. It allows people to check their sense of touch.
B. It allows people to see very distant objects clearly.
C. It allows people to check their eyesight.
D. It allows people to see very small objects clearly.
The photography that shows a person using a type of wave technology, allows people to see very small objects clearly. D as it is a microscope
Why are wave technologies important?
Wave technologies are important because;
They create waves that are more perfect than humans can provide by themselves.Certain inventions use waves to enhance human senses like hearing, sight and touch.Thus, the photography that shows a person using a type of wave technology, allows people to see very small objects clearly. D as it is a microscope.
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A) the wind is blowing directly towards the wind turbine at a speed of 12 m/s. at this wind
speed, 7500 kg of air passes every second through the circular area swept out by the
blades.
() calculate the kinetic energy of the air travelling at 12m/s, which passes through
the circular area in 1 second.
The kinetic energy of the air travelling at 12m/s, which passes through
the circular area in 1 second is 5.4 x 10⁵ J.
What is kinetic energy?The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as
K.E = 1/2 mv²
Given the wind is blowing directly towards the wind turbine at a speed of 12 m/s. At this wind speed, 7500 kg of air passes every second through the circular area swept out by the blades.
Substitute the values, we have
K.E = 1/2 x 7500 x (12)²
K.E = 5.4 x 10⁵ J
Hence, the kinetic energy of the air travelling at 12m/s, which passes through the circular area is 5.4 x 10⁵ J.
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jennifer is pulling her little brother, michael, by the hand because she wants to leave the zoo, but he cant stop crying and wanting to see the monkeys. she applies a force of 35 N and the force of her brother is 20 N
is jennifer able to drag her brother out of the zoo? how do u know
what is the total net force...show your work
draw a force schema. label ALL components and draw vector quantities that include the direction and amount of force
Jennifer is able to drag her brother out of the zoo due to an applied net force of 15 N.
What is force?Force refers to any agent which tends to cause a change in the motion or state of an object.
Forces are of two types;
contact forces, and Non-contact forcesThe net force is the difference between two forces which causes a change in the motion of an object.
The net force that Jennifer applies = 35 N - 20 N = 15 N
Therefore, Jennifer is able to drag her brother out of the zoo due to an applied net force of 15 N.
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HELPPPPP PLEASEEEEEE
why do you think spiders are disliked
Answer:
it is called arachnophobia
Explanation:
most reason are they way they walk and jump and the people who know they have 4 eyes
Hope This Helped i Like Spiders (^^vv^^) (spider smiley face)
Answer:
why do you think spiders are disliked?The presence of body hair seems to be significantly associated with both fear and disgust of spiders (Davey, 1991). We suggest that the rationale for this perception (fear of hairiness) is that body hair (or fur) when standing up in many mammals occur when the animal is threatened.
Explanation:
Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be loseTo help you rank the reactivity of the three metals you will be creating atomic charge models for each of the elements. You may use the periodic table as a model to help you complete these individual models.
1. Complete the atomic charge models to show the charged substructure of sodium, magnesium and potassium.
Metals tend to readily lose electrons and form cations. Most of them react with atmospheric oxygen to form metal oxides. However, different metals have different reactivities towards oxygen (unreactive metals such as gold and platinum do not readily form oxides when exposed to air
For sodium
Nucleus =11+Core electrons=10-Valence electrons=1-For Magnesium
Nucleus=12+Core electrons=10-Valence electrons=2-For potassium
Nucleus=19+Core electrons=18-Valence electrons=1-The weight of a body is 147N. what is its mass?
To find the mass, with only the weight:
⇒ must consider the relationship between the mass and weight
⇒ (in other words) we must find the equation that has both the
mass and weight
Based on our physics knowledge, we know:
[tex]Weight=mass*gravitational_. acceleration[/tex]
Weight: 147NGravitational Acceleration: 9.8 m/s²Now let's plug in the values, and solve:
[tex]147N = mass*9.8_.m/s^2\\mass = 15_.kg[/tex]
Answer: 15 kg
Hope that helps!
*as a note, if you use the gravitational acceleration as 10m/s², then the answer would be 14.7 kg
Gravity and magnetism are both
A common forces
B natural cycles
C states of matter
D forms of energy
Answer:
Explanation:
Comment
You have to read this carefully enough that you don't mix up energy and forces.
Gravity is a force. If you don't believe me try jumping off a building. Which way are you going to go and why? Down because gravity attracts your mass.
So Magnetism must be a force as well. It acts in one direction, but not a specific one the way gravity acts). It also either attracts or repulses (pushes an object away)
Answer A
under the "law of effect" what was observed?
Answer:
those behavioural responses that were most closely followed by a satisfying result were most likely to become established patterns and to occur again in response to the same stimulus.
Explanation:
The diagram shows a simple circuit. Which change would cause the light-bulb to get brighter?
A) Increase the length of the wire between the switch and the battery.
B) Decrease the length of the wire between the switch and the battery.
C) Reverse the direction of the battery.
D) Swap the positions of the lightbulb and the switch.
The correct option is B. Decrease the length of the wire between the switch and the battery.
Resistivity of wire
The resistivity of a wire is the measure of the opposition to the flow of current offered by the wire.
ρ = RA/L
RA = ρL
R = ρL/A
where;
ρ is resistivity of the wireR is resistance of the wireL is lengthA is areaDecrease in length of the wire will cause a decrease in the resistance of the wire, and it will increase the current flowing in the wire, causing the bulb to glow brighter.
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Why can we see the moon at
night?
a. the moon is luminous and produces its own
light.
b. light from the earth is reflected back to us off
of the moon.
c. light from the sun is reflected back to us off
the moon
d. light from the sun is absorbed by the moon.
Answer:
c. light from the sun is reflected back to us off the moon
Explanation:
the moon does not produce its own light
Which SI units are used to describe energy
Answer:
The SI units used to describe energy is Joule (J)
The student measured the extension for five different forces rather than just measuring the extension for one force. Suggest why.
The student measured the extension for five different forces rather than just measuring the extension for one force to identify anomalies. This is further explained below.
What is measurement?Generally, measurement is simply defined as the process of determining the size of something.
In conclusion, The student took five separate measurements of extension for various forces in order to better detect any discrepancies.
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A boy throws a toy up in the air with an initial velocity of 7.9 m/s at an angle of 37 degrees . what is the maximum height reached by the toy?
The maximum height reached by the toy at the given velocity and angle of projection is determined as 1.15 m.
Maximum height reached by the toyThe maximum height reached by the toy is calculated as follows;
H = u²sin²θ/2g
where;
u is the initial velocityθ is the angle of projectiong is gravityH = (7.9² x (sin37)²)/(2 x 9.8)
H = 1.15 m
Thus, the maximum height reached by the toy at the given velocity and angle of projection is determined as 1.15 m.
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The quarks that compose a baryon may have charges of.
The quarks that compose a baryon may have negative and positive charges of +(2/3)e, -(1/3)e.
What is a quark?A quark is a type of particle that forms protons and neutrons and combines to generate particles called hadrons.
Protons and neutrons may be formed by up quarks and down quarks that have a charge equal to -1/3e.
In conclusion, the quarks that compose a baryon may have negative and positive charges of +(2/3)e, -(1/3)e.
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Need help asap please!
what produces the emf in an electric generator?
a coil rotating in a magnetic field to change its flux
an electric current in a coil that produces a torque on the coil to make it rotate
an electric battery
the repulsion between a positive charge and the north pole of a magnet
Answer:
a coil rotating in a magnetic field to change its flux
Discuss the 3 most important lessons you learned in this class. explain why they were so meaningful? how will critical thinking help you "realize potential-the ultimate objective"?
The three most important lessons learned in the school are never cheat, make less but selfless friends and respect teachers.
What is critical thinking?
Critical thinking is the action done by the person that has a wide range of thinking skills that eventually leads to a desired outcome.
The important lessons one learn being in schools that are crucial forr the whole life are never cheat, make less but selfless friends and respect teachers.
Critical thinking makes one realize his inner potential. The potential is the desired outcome and it is the final objective of the person.
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How can biomass energy use improve water quality? a. the combustion of biomass material to produce energy improves water quality by filtering out pollutants. b. biomass energy use does not require water, which reduces the impact of other energy producing technologies on water quality. c. soil erosion and sedimentation are decreased during biomass crop growth. d. all of the above please select the best answer from the choices provided a b c d
The biomass energy can use improve water quality in soil erosion and sedimentation are decreased during biomass crop growth. The correct option is C.
What is biomass energy?Biomass energy is obtained by the processing of the dead plants and animal or vegetable, cow dung or wood.
The biomass energy obtained by these bio things, it is enriched with the nutrients required by the new crop plants to grow effectively.
The biomass energy provides good water quality by soil erosion and sedimentation.
Thus, The correct option is C.
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what kind of intermolecular force is H2O
Answer: H2O has hydrogen bonds, dipole-induced dipole forces, and London dispersion forces.
Explanation:
Answer:
The H2O water molecule is polar with intermolecular dipole-dipole hydrogen bonds. As the water molecules attract each other and form bonds, water displays properties such as high surface tension and a high heat of vaporization
Which three factors are used to calculate gravitational potential energy?
A. The height of an object
Jury
B. The mass of an object
C. The chemical formula for an object
D. The velocity of an object
E. The acceleration of an object due to gravity
F. The density of an object
Answer:
Height, mass, acceleration.
Explanation:
I hope it helps u dear! ^_^