Answer:
speed = 72.75km/hr
Explanation:
Let us first determine the Kinetic energy (KE) of the 18000kg truck
[tex]KE = \frac{1}{2} mv^2\\where:\\m = mass = 18000\\v = velocity = 21km/hr\\\therefore KE = \frac{1}{2} \times 18000 \times (21)^2\\= 9000 \times 441\\KE = 3,969,000\ Joules\\= 3,969\ KJ[/tex]
Next we will substitute this value of kinetic energy into the KE equation for the 1500kg compact car
[tex]KE = \frac{1}{2} mv^2\\3969000 = \frac{1}{2} \times 1500 \times v^2\\3969000 = 750 \times v^2\\v^2 = \frac{3969000}{750} = 5292\\v = \sqrt{5292} \\v = 72.75km/hr[/tex]
The speed at which the 1500 kg compact car have the same kinetic energy as the truck is 73 km/h
The kinetic energy of an object is known to be the energy at work and in motion. It is usually expressed as;
[tex]\mathbf{K.E = \dfrac{1}{2}mv^2}[/tex]
To determine the speed at which the car will have the same kinetic energy as the truck, we can say that:
[tex]\mathbf{\implies \dfrac{1}{2}m_c v_c^2= \dfrac{1}{2}m_t v_t^2}[/tex]
[tex]\mathbf{m_c}[/tex] = mass of the car[tex]\mathbf{v_c}[/tex] = speed of the car[tex]\mathbf{m_t}[/tex] = mass of the truck[tex]\mathbf{v_t}[/tex] = speed of the truck∴
[tex]\mathbf{\implies \dfrac{1}{2}\times 1500\times v_c^2= \dfrac{1}{2}\times 18000 \times 21^2}[/tex]
[tex]\mathbf{v_c^2= \dfrac{3969000}{ 750}}[/tex]
[tex]\mathbf{v_c^2=5292}[/tex]
[tex]\mathbf{v_c=\sqrt{5292}}[/tex]
[tex]\mathbf{v_c\simeq 73 km/h}[/tex]
Therefore, we can conclude that the speed at which the 1500 kg compact car have the same kinetic energy as the truck is 73 km/h
Learn more about kinetic energy here:
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A man driving a car at 35 mph hits his brakes suddenly to avoid hitting a dog.
Everything in the front seat of his car slides forward and into the floorboard. Which of
Newton's laws does this illustrate?
Answer:
Inertia; Newton's First Law
Explanation:
When you hit you're breaks, the force you feel that pulls you forward is due to inertia.
Newton's first law says that "every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force." The question is a perfect example of this.
It is due to the inertia of motion of the objects that they fall on the floor bed. This is also called Newton's first law of motion.
What is the name of Newton's first law of motion?Newton's first law of motion is known as the law of inertia.
Given is a man who is driving a car at 35 mph hits his brakes suddenly in order to avoid hitting a dog. During the incident, everything in the front seat of his car slides forward and into the floorboard.
The property of body by virtue of which it resist any change in its state of rest or uniform motion is called inertia of body. When the car was moving at 35 mph, every object on front seat was also moving with the same speed. However, when the brakes were applied, they were applied on the car and not on the objects in the front seat. Hence, they keep moving forward and stop only when they strike and fall down. This is called inertia of motion. This is Newton's first law of motion.
Therefore, it is due to the inertia of motion of the objects that they fall on the floor bed. This is also called Newton's first law of motion.
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uses of atmospheric pressure
A car travels at a speed of 55 km/hr and slows down to 10 km/hr in 20 seconds. What is the acceleration?
Answer:
a = 0.62 [m/s²]
Explanation:
To solve this problem we must use the following equation of kinematics. But first, we must convert speeds from kilometers per hour to meters per second.
[tex]v_{f} =v_{o} -a*t[/tex]
[tex]55[\frac{km}{hr}]*\frac{1hr}{3600s}*\frac{1000m}{1km} =15.27[\frac{m}{s} ]\\10[\frac{km}{hr} ]*\frac{1hr}{3600s}*\frac{1000m}{1km} = 2.77[\frac{m}{s} ][/tex]
where:
Vf = final velocity = 2,77 [m/s]
Vo = initial velocity = 15.27 [m/s]
t = time = 20 [s]
a = acceleration [m/s²]
Now replacing:
[tex]2.77=15.27-a*(20)\\20*a=12.49\\a = 0.62[m/s^{2}][/tex]
Answer:
It would be 10.00
Explanation:
Hope this helps its different for everyone what was it for u it was D for me
A horizontal force of 30N is applied to a mass of 10 kg causing it to accelerate. If the coefficient of friction is 0.20 what is the frictional force?
If work is shown that would be great
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The force of friction is equal to the product of the vertical force applied by the surface to the object in the coefficient of friction.
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In this question ,
surface vertical force = Weight of the object
Thus ;
svf = ( mass ) × ( gravity acceleration )
_________________________________
If gravity acceleration is 10 :
svf = 10 × 10 = 100 N
So ;
frictional force = 100 × 0.20
frictional force = 20 N
##############################
If gravity acceleration is 9.8 :
svf = 10 × 9.8 = 98 N
So ;
frictional force = 98 × 0.20
frictional force = 19.6 N
_________________________________
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Our school needs to offer healthier options in the lunchroom. Elever High School has recently updated its cafeteria menu to include whole wheat pasta and breads, a fresh salad bar, and other healthy menu items. Students there claim that they have more energy and focus throughout their school day. Let's encourage healthier menus in our lunchroom!
What type of evidence does the writer of this passage use to support her claim?
statistics
statistics
an expert's opinion
an expert's opinion
examples
examples
the writer's opinion
Answer:
b
Explanation:
WHICH OF THE FOLLOWING IS
you need to attach a picture so I can answer it
A golf ball is hit at an angle of 45° above the horizontal. What is the acceleration of the golf ball at the highest point in its trajectory? [Neglect friction.] a = m/s2
Answer:
32* acceleration
Explanation:
why? because if the ball is at a 35* angle then it will accelerate 32*
The acceleration of the golf at the maximum height is equivalent to acceleration due to gravity = 9.8 m/s².
The given parameters;
angle of projection of the ball, Ф = 45°
Acceleration is defined as the change in velocity per change in time of motion.
[tex]a = \frac{\Delta v}{\Delta t} = \frac{v_f }{t}[/tex]
where;
[tex]v_f[/tex] is the final velocity of the golf
At maximum height the final velocity of a projectile is zero (0)
The acceleration for upward motion becomes;
[tex]a = \frac{0 }{t} + g= g[/tex]
Thus, the acceleration of the golf at the maximum height is equivalent to acceleration due to gravity.
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What must happen to an atom of magnesium in order to become a magnesium ion Mg+2?
It must lose two neutrons and become a different isotope.
It must gain two neutrons and become a different isotope.
It must lose two electrons and become an ion.
It must gain two electrons and become an ion.
Answer:
Answer is: c. It must lose two electrons and become an ion.
Magnesium (Mg) is metal from 2. group of Periodic table of elements and has low ionisation energy and electronegativity, which means it easily lose valence electons (two valence electrons).
Magnesium has atomic number 12, which means it has 12 protons and 12 electrons. It lost two electrons to form magnesium cation (Mg²⁺) with stable electron configuration like closest noble gas neon (Ne) with 10 electrons.
Electron configuration of magnesium ion: ₁₂Mg²⁺ 1s² 2s² 2p⁶.
Explanation:
Answer:
the third option
Explanation:
A snow age is a period of time when much of the Earth’s land is covered in glaciers.
A: True
B: False
A ____________________ is a thick ice mass that moves slowly over the land surface.
The glacial budget is the balance or lack of balance between accumulation at the head of a glacier and loss, or wastage, at the foot
A: True
B: False
Although chemical weathering occurs in deserts, _____________________ is far more dominant in shaping desert landscapes.
An alluvial fan is a fan-shaped deposits of sediments formed when a stream’s slop[e is abruptly reduced
A: True
B: False
A __________________ is a flat area on the floor of an undrained desert basin that fills and becomes a lake after heavy rain.
Wind erodes land surfaces in two ways. Name them!
WIndblown silt can be build up, forming thick deposits called what ?
Which of the following isn’t a real sand dune?
A: barchan dunes
B: latitudinal dunes
C: transversal dunes
D: parabolic dunes
What is known as the vibration of the earth produced by the rapid release of energy within the lithosphere?
A: blizzard
B: mudflow
C: earthquake
The point within earth where an earthquake starts is called the focus
A: True
B: False
_______________ are fractures in earth where movement has occurred
A(n) ________________________ is an earthquake that occurs sometimes soon after the major earthquake.
Foreshocks can happen days, weeks or even months before the major quake
A: True
B: False
Earthquakes produce 2 main types of seismic waves. Name them!
There are 2 types of body waves. Name them!
17. The Greek word “seismo” means what?
18. A seismogram is an instrument that records seismic waves
A: True
B: False
19. A seismograph is the record made by a moment magnitude
A: True
B: False
20. The ____________________ ______________ and the moment magnitude scale
measure earthquake magnitude.
21. If Los Angeles had a moment magnitude reading of 2.5, the results would be?
A: generally not felt
B: rarely felt
C: destructive in built-up areas
22. If New York City had a moment magnitude reading of 5.5, the results would be?
A: generally not felt
B: potentially perceptible
C: can be damaging shocks
23. If E. St. Louis, Illinois had a moment magnitude reading of 6.4, the results would be?
A: generally not felt
B: rarely felt
C: destructive in built-up areas
24. Earthquake -related hazards include seismic shaking, liquefaction. Landslides,
__________________ and tsunamis
25. Define the term, “liquefaction”!
26. A _______________________ is a wave formed when the ocean floor shifts suddenly during an earthquake.
27. The earth’s interior consists of 3 major layers defined by their chemical composition. Name them!
28. Out of these 3 layers of the earth, which is the highest in volume?
29. Which of the following isn’t a real layer of the earth, based on physical properties?
A: lithosphere
B: middle core
C: inner core
30. The outer core is a solid layer of the earth.
A: True
B: False
Answer:
1.true
2.true
3.true
4.d
17to30.
a
d
a
d
a
d
a
d
a
d
a
d
What magnification would be obtained if an eyepiece with a focal length of 0.38 m was placed on telescope?
Answer:
This question is incomplete
Explanation:
This question is incomplete because the telescope's focal length was not provided. The formula to be used here is
Magnification = telescope's focal length/eyepiece's focal length
The eyepiece's focal length was provided in the question as 0.38 m.
NOTE: Magnification can be described as the power of an instrument (in this case telescope) to enlarge an object. It has no unit and thus the two focal lengths mentioned in the formula above must be in the same unit (preferably meters since one of them is in meters already).
answer pls urgent pls
Answer:
record vibrations of earthquake
Answer:
[tex]\huge\boxed{\sf Option \ 2}[/tex]
Explanation:
Seismograph is an instrument with is used to record vibrations of earthquake.
Seismographs are basically used to detect seismic waves by which scientists can detect the earth's interior and also can find the depths of earthquakes and their intensity.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper18073) the maximum angular displacement of a pendulum in simple harmonie motion is theta,max then the
kinetic energy is equal to the potential energy when the angular displacement is given by
Answer:
B is correct
Explanation:
Maximum Kinetic energy= Work done.
Now, Work done=mgh=mg(L−Lcosθ)=mgL(1−cosθ)
Option B is thus correct.
A spatially challenged goldfish swims along the x-axis only. Its initial position is 7.8 m. After swimming back and forth a while, it finds itself at the position 4.4 m. Calculate the fish’s displacement (including its sign).
Answer:
The fish displacement was -3.4 m
Explanation:
Distance and Displacement
A moving object constantly travels some distance at defined periods of time. The total moved distance is the sum of each individual distance the object traveled. It can be written as:
dtotal=d1+d2+d3+...+dn
This sum is obtained independently of the direction the object moves.
The displacement only takes into consideration the initial and final points of the path defined by the object in its moving. The displacement, unlike distance, is a vectorial magnitude and can be even zero if the object starts and ends the movement at the same point.
The displacement, when the object moves in one axis only is given by:
d = final position - initial position
We know the fist started at 7.8 m from a given reference along the x-axis.
After some undisclosed movements, it ends up at the position 4.4 m. Thus, the displacement is:
d = 4.4 m - 7.8 m = -3.4 m
This means the fish ended up to the left of the position it started from.
The fish displacement was -3.4 m
What happens to the mechanical advantage of a machine if the output force is less than the input force? What must happen to output distance? Give an example of a machine that does this?
What is the main function of an earthworm organ
Answer:
brain
Explanation:
brain and blood
What is the largest planet in our galaxy
Please help! ASAP. I'm going to have a panic attack.
Answer:
dont die bro
Explanation:
a. With what speed must a ball be thrown vertically from ground level to rise to a maximum height of 45m?
b. How long will it be in the air?
Answer:
A. 29.7 m/s
B. 6.06 s
Explanation:
From the question given above, the following data were obtained:
Maximum height (h) = 45 m
A. Determination of the initial velocity (u)
Maximum height (h) = 45 m
Acceleration due to gravity (g) = 9.8 m/s²
Final velocity (v) = 0 m/s (at maximum height)
Initial velocity (u) =.?
v² = u² – 2gh (since the ball is going against gravity)
0² = u² – (2 × 9.8 × 45)
0 = u² – 882
Collect like terms
0 + 882 = u²
882 = u²
Take the square root of both side
u = √882
u = 29.7 m/s
Therefore, the ball must be thrown with a speed of 29.7 m/s.
B. Determination of the time spent by the ball in the air.
We'll begin by calculating the time take to reach the maximum height. This can be obtained as follow:
Maximum height (h) = 45 m
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) to reach the maximum height =?
h = ½gt²
45 = ½ × 9. 8 × t²
45 = 4.9 × t²
Divide both side by 4.9
t² = 45/4.9
Take the square root of both side
t = √(45/4.9)
t = 3.03 s
Finally, we shall determine the time spent by the ball in the air. This can be obtained as follow:
Time (t) to reach the maximum height = 3.03 s
Time (T) spent by the ball in the air =?
T = 2t
T = 2 × 3.03
T = 6.06 s
Therefore, the ball spent 6.06 s in the air.
During a race, a runner runs with an average velocity of 4.26 m/s toward city hall. What is the runner’s displacement after 167s?
Answer:
d = 711.42 m
Explanation:
Given that,
The average velocity of a runner, v = 4.26 m/s
Time, t = 167 s
We need to find the runner's displacement.
The average velocity of an object is equal to the displacement per unit time. It can be given by :
[tex]v=\dfrac{d}{t}\\\\d=vt\\\\d=4.26\ m/s\times 167\ s\\\\d=711.42\ m[/tex]
So, the runner's displacement is 711.42 m.
he triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00 103 N with an effective perpendicular lever arm of 2.80 cm, producing an angular acceleration of the forearm of 145 rad/s2. What is the moment of inertia of the boxer's forearm
Answer:
Moment of inertia = 0.3862kg-m²
Explanation:
2.00x10³
2.80cm
145 rad
r = r⊥ x F
F is an applied force
r⊥ is the distance between the applied force and axis
Force exerted = 2.00x10³
r⊥ = 2.8cm = 0.028m
Alpha = 145rad/s²
r = 0.028m x 2.00x10³
r = 56.0N-m
To get the moment of inertia
56.0N-m² = (145rad/s²) x I
The I would be:
I = (56.0N-m²)/(145rad/s²)
I = 56/145
= 0.3862Kg-m²
This is the moment of inertia.
Thank you!
Two identical conducting spheres each have a charge of 2 C. They have a radius of 0.1 m and are separated by 0.5 meters. If you were to increase the radius of these spheres to 0.2 meters, the electrostatic force between them would
Answer:
The electrostatic force will remain the same
Explanation:
From the question we are told that
The charge on the each conducting sphere is [tex]q = 2 \ C[/tex]
The radius each sphere is [tex]r_1 = r_2 = r = 0. 1\ m[/tex]
Generally electrostatic force between the sphere is mathematically represented as
[tex]F = \frac{k * q_1 q_2 }{d^2}[/tex]
Here k is the coulomb constant ,
d is the distance between the two sphere which is measured from one center of the sphere to the other center of the sphere
Now from the question we are told that the radius of the spheres is doubled (i.e from 0.10 m to 0.2 m ) , this will not affect the distance between the sphere because their center are still in the same position
and given there is no change in the distance between the spheres , the electrostatic force will remain the same
A car Excel accelerates from rest to a velocity of 5 m/s in 4 seconds. What is its average acceleration over this period of time
Answer:
1.25
Explanation:
acceleration = velocity÷time
Answer:
Its acceleration is 1.25 meters/second2
Explanation:
The car's average acceleration would be 1.25m/s^2 or 1.25meters/second/second. That looks to be the fourth one you've listed.
An elevator is pulled up by a cable with a force of 65,000 N. The upward acceleration of the elevator is 1.8 m/s/s. What is the mass of the elevator?
a. 1.8 kg.
b. 1700 kg.
c. 54880 kg.
d. 5600 kg.
e. 36111 kg.
Answer:
36111 kg
Explanation:
Given
Force = 65000N
Acceleration = 1.8m/s²
Required
Determine the mass of the elevator
This question will be answered using the following Force formula.
Force = Mass * Acceleration
Substitute values for Force and Acceleration
65000N = Mass * 1.8m/s²
Make Mass the subject
Mass = 65000N/1.8m/s²
Mass = 36111.11 kg
From the list of given options, option E answers the question.
what is environment
Answer:
Explanation:
all biotic and abiotic factors around a living organism is its environment
Answer: An environment is the surroundings or conditions in which a person, animal, or plant lives or operates. the natural world, as a whole or in a particular geographical area, especially as affected by human activity. The best synonym for environment would be nature.
Explanation: Environment is a place where different things are such as a swampy or hot environment. They constantly interact with it and adapt themselves to conditions in their environment. In the environment there are different interactions between animals, plants, soil, water, and other living and non-living things. Environment plays an important role in healthy living and the existence of life on planet earth. Earth is a home for different living species and we all are dependent on the environment for food, air, water, and other needs. Therefore, it is important for every individual to save and protect our environment. To divide environments' sorts we can mention 3 kinds of environments Natural, industrial, and social environment. Natural environment: Include water, light, land, air and all organisms that live in nature.
what is Force and Preasure ??
Answer:
Definition: Pressure:- Force per unit area surface is called pressure. P = F/ A Pressure = Force /Area Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Gauge pressure is the pressure relative to the ambient pressure.
Answer:
A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects. When the interaction ceases, the two objects no longer experience the force.
Pressure is defined to be the amount of force exerted per area.
Formula of pressure = P = F÷A
Where, P = Pressure,
F = Force applied and,
A = Unit area.
Examples of Pressure is Air pressure.
A concave mirror produces a real image 1cm tall of an object 2.5mm tall placed 5cm from the mirror. Find the position of the image and the focal length of the mirror.
Answer:
the focal length is 4cm
Explanation:
use the formula 1+1/m = f
it is obtained from the mirror formula
m is the magnification and is the ratio of the image height to the object height
however they should have the same unit . that means you would have to do a little conversion from cm to mm or vice versa .
Please help me with this question guys.
Answer:
The average speed is 22.2 km/h
Explanation:
Average Speed
Given an object travels a total distance d and took a total time t, then the average speed is:
[tex]\displaystyle \bar v=\frac{d}{t}[/tex]
The mailman first drives d1=7 km at v1=15 km/h. The time taken to drive is:
[tex]\displaystyle t1=\frac{d1}{v1}=\frac{7}{15}=0.467\ h[/tex]
Then he drives d2=7 km at v2=43 km/h taking a time of:
[tex]\displaystyle t2=\frac{d2}{v2}=\frac{7}{43}=0.163\ h[/tex]
The total time is
t=0.467 h + 0.163 h = 0.63 h
The total distance is
d = 7 km + 7 km = 14 km
The average speed is:
[tex]\displaystyle \bar v=\frac{14}{0.63}=22.2\ km/h[/tex]
The average speed is 22.2 km/h
ke...
11. Table salt, NaCl, is a classic binary ionic compound. (4 points)
a. What is the oxidation number of Na? Of Cl?
ave...
Answer:
+1
-1
Explanation:
The oxidation number of Na in NaCl is +1 and that of Cl is -1.
For simple ions, the oxidation number is the charge they carry.When NaCl is oxidized we have;
NaCl → Na⁺ + Cl⁻
In this process, Na will lose an electron to become Na⁺ and thus isoelectronic with Ne, Cl will gain the electrons to become Cl⁻ and thus isoelectronic with Argon.
HELP ASAP !!!!!!!!!!!!!!
Answer:
big bang theory
Explanation:
Edwin Hubble is credited for the initial development of the Big Bang theory, an idea which helps to explain the formation of the universe over 15 billion years ago.
A 3.0 kg object moving 8.0 m/s in the positive x-direction has a one-dimensional elastic collision with an object of mass, M, initially at rest. After the collision the object of unknown mass has a velocity of 6.0 m/s in the positive x direction. What is M
Answer:
1kgExplanation:
According to law of conservation of momentum
m1u1+ m2u2 = (m1+m2)v
m1 and m2 are the masses of the object
u1 and u2 are their initial velocities
v is their common velocity
Given
m1 = 3kg
m2 = M
u1 = 8m/s
u2 = 0m/s (object at rest)
v = 6.0m/s
Substitute and get M
3(8) + M(0) = (3+M)6
24 = 18+6M
24-18 = 6M
6 = 6M
M = 1kg
Hence the mass M is 1kg