The angle θ relative to the east that the carts travel after the collision is most nearly (A) 22°.
To solve this problem, we need to use the concept of relative motion. When two objects collide, their speeds and directions change, but we can still analyze their motion relative to each other.
Let's assume that both carts are moving in the same direction before the collision. Cart A has an initial speed of 2.5 m/s, and cart B has an initial speed of 1.5 m/s. After the collision, the carts move off at an angle θ relative to east.
We can use the conservation of momentum to relate the velocities of the carts before and after the collision. The total momentum of the system before the collision is: p = m1v1 + m2v2
where m1 and m2 are the masses of the carts, and v1 and v2 are their initial speeds. Since the carts are moving in the same direction, we can add their velocities: p = (m1 + m2) * (v1 + v2)
After the collision, the total momentum is still conserved, but the velocities of the carts have changed. Let's assume that cart A moves off at an angle α relative to east, and cart B moves off at an angle β relative to east. Then we can write: p = m1va + m2vb
where va and vb are the final velocities of the carts. We can break these velocities down into their x and y components:
va,x = v1 cos α
va,y = v1 sin α
vb,x = v2 cos β
vb,y = v2 sin β
Since the carts move off at an angle θ relative to east, we can write:
α = 90° - θ/2
β = 90° + θ/2
Using these equations, we can solve for va and vb in terms of v1, v2, and θ:
va,x = v1 cos(90° - θ/2) = v1 sin(θ/2)
va,y = v1 sin(90° - θ/2) = v1 cos(θ/2)
vb,x = v2 cos(90° + θ/2) = -v2 sin(θ/2)
vb,y = v2 sin(90° + θ/2) = v2 cos(θ/2)
The total momentum equation becomes:
(m1 + m2) * (v1 + v2) = m1 * v1 sin(θ/2) + m2 * (-v2 sin(θ/2))
Simplifying this equation and solving for sin(θ/2), we get:
sin(θ/2) = (m1 + m2)/(m1 + m2 + m2 * v2/v1)
Plugging in the given values, we get:
sin(θ/2) = (2 + 3)/(2 + 3 + 3 * 1.5/2.5) = 0.385
Taking the inverse sine of this value, we get:
θ/2 = 22.1°
Multiplying by 2, we get:
θ = 44.2°
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5
Drag each tile to the correct box.
Adam takes a bus on a school field trip. The bus route is split into the five legs listed in the table. Find the average velocity for each leg of the trip.
Then arrange the legs of the trip from highest velocity to lowest:
Leg Distance (km) Time (min)
A 18
9
B 25
15
C С 24
8
D
48
12
E
15
7
leg A
leg B
leg C
leg D
leg E
Reset
Next
Answer:
1) D
2) C
3) E
4) A
5) B
Explanation:
Hope this help!
Why is relative dating difficult to perform in California?
An object horizontally dragged across the surface by a 100 N force acting parallel to the surface . Find out the amount of work done by force in moving the object through a distance of 8 m
Answer:
800J
Explanation:
Given data
Force= 100N
Distance moved= 8m
The expression for the work done is
WD= Force* distance
substitute
WD= 100*8
WD= 800Joules
Hence the work done is 800J
someone help pls. Two students, Mia and Peter, leave school to meet at the local coffee shop. Peter decides to jog to the coffee shop, but also stops at a flower shop along the way. Mia decides to walk from school directly to the coffee shop. They arrive at the coffee shop at the same time, 30 minutes after they leave school.
Answer:
1) The distance further it takes Peter to arrive at the Coffee shop than Mia is 1.24 km
2) Mia's average speed is 6.00 km/hour
Peter's average speed is 8.48 km/hour
4) Mia's average velocity = Peter's average velocity = 6.00 km/hour
Explanation:
The given information from the diagram are;
The distance Peter jogs from school to the flower shop = 2.00 km
The distance Peter jogs from the Flower shop to the Coffee shop = 2.24 km.
The distance Mia walks from school directly to the Coffee shop = 3.00 km
The time it takes both Peter and Mia to arrive at the coffee shop = 30 minutes = 0.5 hour
1) The total distance Peter travels from school to the Coffee shop = 2.00 km + 2.24 km = 4.24 km
The distance Mia travels from school to the Coffee shop = 3.00 km
The distance further it takes Peter to arrive at the Coffee shop than Mia = 4.24 km - 3.00 km = 1.24 km
The distance further it takes Peter to arrive at the Coffee shop than Mia = 1.24 km
2) [tex]Average \ speed = \dfrac{Total \ distance \ traveled}{Total \ time \ taken \ in \ the \ journey}[/tex]
[tex]Therefore, \ Mia's \ average \ speed = \dfrac{3.00 \ km}{0.5 \ hour}= 6.00 \ km/hour[/tex]
Mia's average speed = 6.00 km/hour
[tex]Peter's \ average \ speed = \dfrac{4.24 \ km}{0.5 \ hour}= 8.48 \ km/hour[/tex]
Peter's average speed = 8.48 km/hour
4) [tex]Average \ velocicty = \dfrac{Displacement }{Time \ taken}[/tex]
The displacement from the School to the Coffee shop is 3.00 km for both Mia and Peter
The time it takes both Peter and Mia to arrive at the Coffee shop from the school is 30 minutes = 0.5 hour
[tex]Therefore, \ Mia's \ average \ velocity = \dfrac{3.00 \ km}{0.5 \ hour}= 6.00 \ km/hour[/tex]
Mia's average velocity = 6.00 km/hour
[tex]Peter's \ average \ velocity = \dfrac{3.00 \ km}{0.5 \ hour}= 6.00 \ km/hour[/tex]
Therefore, Peter's average velocity is also = 6.00 km/hour
Gizmos Warm Up Energy constantly changes from one form to another, but in a closed system, the total amount of energy always remains the same. This concept is known formally as the law of conservation of energy The Energy Conversion in a System Gizmo allows you to observe the law of conservation of energy in action. In the Gizmo, a suspended cylinder has gravitational potential energy. When the cylinder is released, the gravitational potential energy is converted into kinetic energy, which causes the stirrer in the water to spin. 1. What is the initial temperature (T) of the water?
Answer:
25 Celsius
Explanation:
Which was a common goal of Spanish and British explorers in the Southeastern region of North America?
OA. to convert American Indians to Catholicism
ОВ.
to discover gold
OC. to cultivate tobacco
OD
to prevent French settlement of Florida
Answer:
B
Explanation:
To discover gold
A child pushes a 2.2kg swing that is initially at rest. The net force on the swing over time is shown below. What's the swings speed at t= 40ms
Answer:
The answer is "[tex]\bold{0.36363 \ \frac{m}{s}}[/tex]"
Explanation:
Please find the attached file of the complete question:
Given:
[tex]m= 2.2 \ kg\\\\t= 40 \ ms[/tex]
Using formula:
[tex]\to F=ma[/tex]
[tex]= 2.2 \ (a)\\\\= 2.2 \ \frac{dv}{dt}[/tex]
but
[tex]\to F= f(t)\\\\[/tex]
[tex]\to 2.2 \ a= f(t)\\\\ \to 2.2 \ \frac{dv}{dt}=f(t)\\\\ \to \int^{v}_{0} \ dv =\int^{t= 40 ms}_{0} (\frac{f(t)}{2.2}) \ dt\\\\[/tex]
[tex]\to v= \frac{\text{(Area of given graph)}} {2.2} \\\\[/tex]
[tex]=\frac{1}{2} \times \frac{1}{2.2} \times 40 \times 40 \times 10^{-3} \ s\\\\= \frac{1}{4.4} \times 40 \times 40 \times \frac{1}{1000} \ s\\\\= \frac{1}{4.4} \times 16 \times \frac{1}{10} \ s\\\\= \frac{16}{44} \ s\\\\= 0.36363 \ \frac{m}{s}[/tex]
can someone please help:)
1- A positive charge of 3x10-7 is located in a field of 27N/C directed toward the south. What is the force acting on the charge?
2- A positive test charge of 5x10-6Cis in an electric field that exerts a force of 2x10-4N on it.
What is the magnitude of the electric field at the location of the test charge?
Explanation:
(1) Given that,
A charge, [tex]q=3\times 10^{-7}\ C[/tex]
Electric field, E = 27 N/C
We need to find the force acting on the charge. The force on the charge is given by :
[tex]F=qE\\\\F=3\times 10^{-7}\times 27\\F=8.1\times 10^{-6}\ N[/tex]
So, the force acting on the charge is [tex]8.1\times 10^{-6}\ N[/tex]
(b) Charge, [tex]q=5\times 10^{-6}\ C[/tex]
Force, [tex]F=2\times 10^{-4}\ N[/tex]
Let E be the electric field.
[tex]E=\dfrac{F}{q}\\\\E=\dfrac{2\times 10^{-4}}{5\times 10^{-6}}\\\\E=40\ N/C[/tex]
So, the electric field is 40 N/C.
Use Newton’s First Law of Motion and the concept of inertia to explain what happens to a person in a head-on car accident who is not wearing a seat belt. How does wearing a seat belt help?
Answer:
Newtons first law of motion explains what happens in a car crash because it basically states that the passenger will continue to travel at the same velocity until an unbalanced force acts on he or she. The force that will act upon he or she would be the window, so you should always wear a seat belt!
Explanation:
According to Newtons first law of motion, a passenger tends to continue in the state of uniform motion even after the accident which causes the passenger to move forward.
According to the Newtons first law of motion, an object will continue in a state of rest or uniform motion unless it is acted upon by an external force. This is also known as the law of inertia.
While in a car undergoing uniform motion and suddenly the car is involved in an accident which causes the vehicle stop abruptly, a person suddenly moves forward because of the tendency to continue in the former state of uniform motion according to Newtons first law.
A seat belt helps to prevent the person from suddenly moving forward in a way that may lead to injury as a result of the accident.
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A 10 kg boat is moving 3 m/s. Find kinetic energy. Use KE = (mv^2)/2
PLEASE HELPPPP!!!!!!!!!!
Answer:
I think its B
Explanation:
A scientist wants to study the movement of air in a hurricane in order to help prevent damage. Which tool should the scientist use to find out more about the movement of air?(1 point)
a computer model
a barometer
a levee
a Doppler radar
Answer:
B
Explanation:
IM PRETTY SURE it is B
The scientist should use a barometer to learn more about the movement of air. A barometer is a scientific instrument that measures the pressure of air in a particular environment.
What a barometer is used for?A barometer is a scientific instrument that measures the pressure of air in a particular environment. Short-term weather changes can be predicted by the pressure tendency. In surface weather analysis, many air pressure measurements are used to help locate surface troughs, pressure systems, and frontal boundaries.Furthermore, just as air flows out of the high-pressure environment inside an inflated balloon if the opening is not tied, air in the atmosphere will move to a lower pressure area, resulting in wind. An anemometer is a device that measures the speed of the wind. The readings on each of these digital barometers are slightly different! Layers of air wrap around the Earth to form the atmosphere.To learn more about Barometers, refer to:
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Please help. Will give branliest!!
Which action is an example of a force that operates at a distance.
A. A baseball thrown by a player.
B. A pebble falling to the ground
C. Fish swimming in the water
D. A sailboat sailing on a lake
An action which is an example of a force which operates at a distance is a pebble falling to the ground. Thus, the correct option is B.
What is force?A force is an influence which can be changed upon with the motion of an object. A force can cause an object with some amount of mass to change the velocity of the object, i.e., to accelerate the object. Force can also be described as a push or a pull of the object. A force is a vector quantity because it has both the magnitude and direction.
A pebble falling to the ground level is an example of the force which operates at a specific distance. A force applied on the pebble covers some distance.
Therefore, the correct option is B.
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What does it mean to be a carrier?
Mercury has a radius of 2.43x10^6 m, and a mass of 3.2x10^23 kg, what is Mercury's acceleration due to gravity?
I think that you need the gravitational acceleration of mercury
so we will use Newton's gravitational law :
gravitational acceleration = [tex]\frac{G * m}{r^{2} }[/tex]
G is the gravitational constant = G = 6.673×10^-11 N m^2 kg^-2
after substitution :
6.673×10^-11 * 3.2x10^23 / (2.43x10^6)^2
using calculator :
gravitational acceleration of mercury = 3.61625 m/s^2
pls give me brainliest
If the voltage of a circuit is 6V, and the power is 4W, what is its resistance?
Answer:
9 ohms
Explanation:
P = V²/R
R = v²/p = 6²/4 = 36/4 = 9 ohms.
The resistance is 9 Ohm.
To find the resistance, we need to know about the power in term of resistance and voltage.
What is the value of power in terms of resistance and voltage?We know that power=work/timeElectrostatics work is given as voltage ×charge. So, power=(Voltage×charge)/timeAgain, charge/time is given as current. So, power = Voltage×currentFrom Ohm's law, we know that current=voltage/resistance. So, power= voltage ²/resistance. What is the resistance, if power is 4W and voltage is 6V?Resistance in term of power and voltage is given as Resistance= voltage ²/powerSo, resistance=6²/4=36/4= 9 OhmThus, we can conclude that the resistance is 9 Ohm.
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The structure of an atom consists of ________.
A.
a proton surrounded by neutrons
B.
a nucleus surrounded by electrons
C.
a nucleus containing protons and electrons
D.
a "cloud" of protons, electrons, and neutrons
Answer:
The correct answer is B. a nucleus surrounded by electrons.
10 POINTS Please AND Will Mark AS BRAINLEST Please
Answer:
B
Explanation:
which of these three words applies to all types of sedimentary rock: weathering, compaction, or deposition
Weathering is words applies to all types of sedimentary rock.
What is Weathering?The breakdown or dissolution of rocks and minerals on the Earth's surface is referred to as weathering. Agents of weathering include water, ice, acids, salts, plants, animals, and variations in temperature.
The breakdown or dissolution of rocks and minerals on the Earth's surface is referred to as weathering. Agents of weathering include water, ice, acids, salts, plants, animals, and variations in temperature.
The effects of weathering and erosion cannot be resisted by any rock on Earth due to its softness. These processes combined to carve famous sites like Arizona's Grand Canyon.
Therefore, Weathering is words applies to all types of sedimentary rock.
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What is a curved line in velocity time graph represent?
Put the following objects in order from smallest
Wrong order
Milky Way
Earth
Moon
Jupiter
Universe
Sun
Comet
Solar System
A 15 kg soccer ball is kicked with a velocity of 8 m/s, what is the momentum of the ball?
Answer:
120
Explanation:
Momentum = mass * velocity
Mass = 15
Velocity = 8
Momentum = 15*8
Momentum = 120
the total amount of energetic does not change. this is known as the principle of (blank) energy
Answer:
Conservation
Explanation:
A player throws a basketball with a force of 30.0 N. If the mass of the basketball is 0.625 kg, what acceleration (in m/s) does the player give to the ball?
Answer:
your answer should be 48 m/s.
Explanation:
the total for was 30N and the formula for force is F=m*a divide the force by the known, in this case the mass. 30/0.625=48 m/s
please solve no.g
Anyone!???
Answer:
The answer is already given... it's 31.25 cm
The acceleration of an object is ____________________ related to the net force exerted upon it and _____________________ related to the mass of the object.
The acceleration of an object is directly related to the net force exerted upon it and inversely related to the mass of the object.
answer : directly , inversely
A ball is thrown horizontally from the roof of a building 50. m tall and lands
45 m from the base. What was the ball's initial speed?
Answer:7.92 m/s
Explanation:
A ball is thrown horizontally from the roof of a building 50. m tall and lands 45 m from the base then the ball's initial speed is 14.10 m/s
What is speed?The rate of change of position of an object in any direction is called speed. Speed is scalar quantity.
speed = distance/time
s=d/t
Where,
s is the speed in m/sec
d is the distance travaled in m
t is the time taken in sec
Given that in the question ball travel a height from building of 50 m to a distance 45 m from the base so total distance travelled is given as 45 m.
Body is travelling downward under the influence of gravity.
Using equation of motion under gravity,
y = ut + ½gt² , where u = 0 m/s in y direction and
y = ½gt²
t² = 2y / g
t² = 2*50/9.8
t = 3.19 sec
ball's initial speed in x direction is given as
u = 45/3.19
u= 14.10 m/sec.
The balls initial speed is given as 14.10 m/sec.
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A magnet is strong at poles and weak in the middle.give reason.
Answer:
The magnets are in the outer part not the middle
Explanation:
i know
If the net force acting on an object is zero, its inertia is also zero.
True or false
Answer:
its false
Explanation:
a right circular cylinder with a radius of 2.3cm and a height of 1.4cm has a total surface area of
Answer:
6.44pie
Explanation:
[tex]2\pirh[/tex]