The momentum of the bumper car after the collision is 1,040 kgm/s.
Momentum of bumper
The change in momentum of the bumper is calculated as follows;
P = v(m1 + m2)
P = 8(55 + 75)
P = 1,040 kgm/s
The momentum of the bumper car after the collision is 1,040 kgm/s.
The direction is still the same.
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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
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.
what is the acceleration of the train
Answer:
a=1.94 ms−2. is acceleration of the train
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:
Open the attached file. It shows 2 waves (a blue one and an orange one) that are moving through the same medium at the same time. Your challenge is to DRAW the RESULTANT wave and LABEL the areas of interference with CI, DI and/or points of TDI.
The diagram is labelled to DRAW the RESULTANT wave and LABEL the areas of interference with CI, DI and/or points of TDI.
What is refraction?When a light ray falls on the interface of two medium like air and water, then the portion of light is reflected and another portion of the light is refracted into the water medium. The angle of incidence is equal to the angle of reflection but the angle of incidence is larger then the angle of refraction.
Open the attached file. It shows 2 waves (a blue one and an orange one) that are moving through the same medium at the same time.
Thus, the diagram is labelled.
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What's manifestation
Answer:
Explanation:
the action or fact of showing an abstract idea.
(◑.◑)!
Manifestation (or manifesting) refers to
various pseudoscientific self-help
strategies intended to burning about
a personal goal, primary by focusing
one's thought upon the desired outcome.
The techniques are based on the law
of attraction of New Thought spiritually.
While the process involves positive
thinking, or even directing request to
"the universe", it also involves
action-steps on the part of the individual.
Manifestation has been criticised as
having no basis in physical science.
Alison Bernstein, a professor of
translational neuroscience at Michigan
State University said in an interview
with Vice that "You can't magically
make things happen. You can [However]
change the way you react to certain
situations, which sounds to me like
Cognitive Behavioral Therapy". She
want no to assert that "manifestation
is not supported by science.
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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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
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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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 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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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
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:
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
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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17.
_______ energy is energy that is stored or waiting to be used.
Mechanical
Kinetic
Electrical
Potential
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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An object is placed 14.0 cm from a diverging lens. If a virtual image appears 10.0 cm from the lens on the
same side as the object, what is the focal length of the lens?
Use lens formula
1/f=1/v-1/u1/f=1/-10-1/141/f=-7-5/701/f=-12/70f=70/-12f=-5.8cmThe focal length of the lens is 5.8 cm.
To find the focal length, the given values are:
Image distance - 10 cm
Object distance - 14 cm
What is focal length and how it was calculated?The distance between the convex lens or a concave mirror and the focal point of a lens or mirror is called the focal length. This is the parallel line which meet at the distance from the lens or mirror.
1/Focal length = 1/Image distance + 1/Object distance ( cm )
1/f = 1/v-1/u
1/f = 1/-10-1/14
1/f = -7-5/70
1/f = -12/70
f = 70/-12
f = -5.8cm
The focal length of the lens is - 5.8 cm.
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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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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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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]
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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The electromagnetic waves with the longest wavelength are: *
-microwaves
-gamma rays
-radio waves
-visible light
Answer:
Radio waves
Explanation:
I hope it helps u dear^_^
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
electromagnetic waves :- electromagnetic radiation▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂
[tex]\large\underline{ \boxed{ \sf{✰\:Radio\:waves }}}[/tex]
▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂
The electromagnetic waves with the longest wavelength are radio waves .
Example:- television, mobile phones and radios.========================
Hope it helps!
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
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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A swimmer swims 20 m in 40 s. The swimmer's average speed is
------------- m/s.
Explanation:
Average speed=distance/time
=20/40
=0.5m/s
Action and reaction forces are described by which of Newton’s laws of motion?
first
second
third
fourth
Answer:
third
Explanation:
for every action there is an equal and opposite reaction
example
bouncing ball
ball receives a force from the ground due to collision
that same force causes the ball to bounce off the ground
first law:
inertia
example
stuff in space doesn't move unless its pushed
then it keeps going unless something stops it
second law
force = mass times acceleration
example
harder you push a cart the faster it goes
the less a cart weighs the faster a cart goes
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spacecenterorg
energywavetheory
Which describes the type of acceleration in the graph?
Answer:
Constant positive acceleration
Explanation:
Which statement best defines the relationship between work and energy?
Work can transfer energy between objects and increase radiant energy.
Work can transfer energy between objects and cause a change in the form of energy.
Work can transfer energy between objects and decrease nuclear energy.
Work can transfer energy between objects and cause a change in the amount of total energy.
The relationship between work and energy is that work can transfer energy between objects and cause a change in the form of energy.
What is energy?Energy is simply defined as the ability to do work.
Energy possessed by any object or matter enables it to do work of various forms.
Energy can be transferred from one object to another. Also, energy can be transformed into various forms.
Therefore, the relationship between work and energy is that work can transfer energy between objects and cause a change in the form of energy.
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What is the time required for an object starting from rest.