A 4kg and a 2kg block are moving along a horizontal frictionless surface. The 4 kg block is moving to the right with a speed of 6 m/s and the 2 kg block is moving to the left with a speed of 3 m/s. The two blocks collide inelastically and then continue to move together along the surface and then up a 30 frictionless ramp. How high up the ramp does the combined object move?
Answers
The combined object will move up the ramp to a height of 0.459 m.
Before the collision, the total momentum of the system is:
P = m1v1 + m2v2 = 4 kg * 6 m/s - 2 kg * 3 m/s = 18 kg m/s to the right
After the inelastic collision, the two blocks will stick together and move as a single object. The total mass of the combined object is 4 kg + 2 kg = 6 kg.
The velocity of the combined object can be found using the conservation of momentum:
P = m*v
where m is the mass of the combined object and v is its velocity.
v = P/m = 18 kg m/s / 6 kg = 3 m/s to the right
Now we can use conservation of energy to find the height the combined object reaches up the ramp. At the top of the ramp, the combined object has potential energy equal to:
PE = mgh
where m is the mass of the combined object, g is the acceleration due to gravity (9.8 m/s^2), and h is the height reached up the ramp.
The initial kinetic energy of the combined object is:
KE = 1/2mv^2 = 1/26 kg(3 m/s)^2 = 27 J
The final energy of the combined object at the top of the ramp is:
PE = mgh
Equating the initial and final energies, we get:
KE = PE
27 J = 6 kg * 9.8 m/s^2 * h
h = 27 J / (6 kg * 9.8 m/s^2) = 0.459 m
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Related Questions
Use the periodic table to determine which of the following could be an isotope of indium (In). Check all that apply.
Z=49 A=113
N=64 Z=49
N=61 A:113
A=110 N=49
Please Help!!!
Answers
Answer:
1 & 2
Explanation:
Answer:
Z=49,A=113
N=64,Z=49
Explanation:
a solenoid 4.00 cm in diameter and 20.0 cm long has 500 turns and carries a current of 15.0 a. calculate the magnetic flux through the circular cross-sectional area of the solenoid.
Answers
The solenoid's circular cross-sectional area has a magnetic flux of 0.0185 voltsec.
The magnetic constant, 0 in the formula, has a value of 4 x 10-7 Hm-1 or 12.57 x 10-7 Hm-1. N and I in the formula stand for the number of turns and the current flowing through the solenoid, respectively.
Calculation:R = 2 cm for the solenoid's radius
L=20cm, turns=N=500
turns per unit length = n=1,250turns/meter
current i=15A
Magnetic field through the solenoid = μ0ni=4π×10 −7 ×1250×15units
B=2.356×10−2 H
Outside of the solenoid's turns, the magnetic field is 0 and only exists in the region around r.
Flux=B×πr2 =0.0185voltsec
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What technologies are in place to reduce ozone
Answers
Strategies currently being implemented include:
Vapor recovery nozzles at the gasoline pumps to reduce refueling emissions;
Cleaner burning gasoline reformulated to reduce VOC, NOx and other pollutants;
Strict NOx emission limits for power plants and industrial combustion sources;
Enhanced vehicle inspection programs in states; and
Strict limitations on the solvent usage in factories.
hope this helps
A pendulum of mass 5.0 kg hangs in equilibrium. A frustrated student walks up to it and kicks the bob with a horizontal force of 30.0 N. What is the maximum angle of displacement of the swinging pendulum
Answers
Approximately 33.1 degrees is the maximum angle of displacement of the swinging pendulum.
The maximum angle of displacement of the swinging pendulum can be determined using the principle of conservation of energy. When the student kicks the bob, the pendulum gains kinetic energy, which is then converted into potential energy as it swings upwards. At the highest point of its swing, all of the kinetic energy is converted into potential energy, and the pendulum comes to a momentary stop before swinging back down.
The potential energy of the pendulum at its highest point can be calculated as the product of its mass, acceleration due to gravity (9.81 m/s²), and the height it rises to. The height can be determined using the initial horizontal velocity imparted by the kick, which can be calculated using the force applied and the distance over which it acts. Assuming the pendulum swings upwards in a straight line, the height can be calculated using basic trigonometry.
The maximum angle of displacement can then be determined using the equation for the potential energy of a pendulum, which is proportional to the square of the sine of the angle of displacement from the equilibrium position. Solving for the angle, we get:
θ = arcsin(√(2gh)/l)
where h is the height the pendulum rises to, l is the length of the pendulum, and g is the acceleration due to gravity.
Substituting in the values given, we get:
h = (30 N)(sin(θ))(1 m)/(5.0 kg)(9.81 m/s²)
h ≈ 0.613 m
θ = arcsin(√(2(9.81 m/s²)(0.613 m))/l)
Assuming a standard length of 1.0 m for the pendulum, we get:
θ ≈ 0.577 radians or 33.1 degrees
Therefore, the maximum angle of displacement of the swinging pendulum is approximately 33.1 degrees.
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consider the ring-shaped body of the figure. a particle with mass m is placed a distance x from the center of the ring, along the line through the center of the ring and perpendicular to its plane.
Answers
The ring-shaped body represents an interesting physical system with rotational symmetry that exhibits the circular motion of a particle placed at a certain distance from its center.
The ring-shaped body in the figure represents a physical system that exhibits rotational symmetry. If a particle with mass m is placed at a distance x from the center of the ring along the line perpendicular to its plane, the particle experiences a gravitational force due to the mass of the ring.
The magnitude of the gravitational force is given by the formula F = GmM/x^2, where G is the gravitational constant, M is the mass of the ring, and x is the distance from the center of the ring to the particle. Since the ring has rotational symmetry, the gravitational force on the particle is directed toward the center of the ring.
Due to the symmetry of the system, the net force on the particle is always directed toward the center of the ring. As a result, the particle undergoes circular motion around the center of the ring. The acceleration of the particle is given by a = F/m, which in this case reduces to a = G*M/x^2.
The period of the circular motion is given by T = 2pisqrt(x^3/G*M), where pi is the mathematical constant and sqrt denotes the square root function. The period of the circular motion depends only on the distance x and the mass of the ring M. The larger the distance x, the longer the period of the circular motion.
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Elena failed her algebra exam and blames her teacher for teaching the concepts poorly. How would attribution theory explain Elena's behavior?
A. Elena is using situational attribution because she is blaming events that were outside of her control.
B. Elena is using internal attribution because she is blaming events that were within her own control.
C. Elena is making a dispositional attribution because she is assigning her teacher's behavior to her character.
D. Elena is making a fundamental attribution error because she is underestimating her own influence on the situation.
Answers
Answer: From What i Seeing it is Option B
at an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. people sit in seats facing the axis, their backs against the outer wall. at one instant the outer wall moves at a speed of 3.09 m/s, and an 70.2 kg person feels a 560 n force pressing against his back. what is the radius of a chamber?
Answers
At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis and the radius of a chamber r= 0.387 m
Given
Mass of the person m = 70.2 kg
speed v = 3.09 m/s
Force F = 560N
-------------------------------------------
We have the formula for the force is given by
F = ( mv2) /r
The radius of the chamber is given b y
r = ( mv2) /F
= ( ( 70.2 kg)(3.09 m/)2) /(560N)
r=0.387 m
A circle's or a sphere's radius is the distance along a line connecting its centre and perimeter. From any point on the circle's or sphere's circumference to the centre, the radius' length is constant. Its length is halved by its diameter. The radius is a line segment connecting the centre of a circle or sphere to its perimeter or boundary in geometry.You'll require more effort as you reduce the radius because you're dividing by a lower force.
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What is the velocity of the rock after 3.00 seconds (the rock is falling from a cliff)
Answers
Answer:
29.4 m/s
Explanation:
Using the formula: V=Vi + g.t
where V: final velocity, this is what you want.
Vi: initial velocity, equals to zero as it is falling from rest.
g: acceleration due to gravity = 9.8
t: time, which equals 3 sec.
what is the velocity of the student?how much kinetic energy does the student have while sprinting?what is the mechanical energy of the student?
Answers
Given data:
* The mass of the student is m = 65 kg.
* The distance covered by the student is d = 100 m.
* The time taken by the student to cover the distance is t = 12 seconds.
Solution:
(a). The velocity of the student is,
\(\begin{gathered} v=\frac{d}{t} \\ v=\frac{100}{12} \\ v=8.33\text{ m/s} \end{gathered}\)Thus, the velocity of the student is 8.33 meters per second.
(b). The kinetic energy of the student is,
\(\begin{gathered} K=\frac{1}{2}mv^2 \\ K=\frac{1}{2}\times65\times(8.33)^2 \\ K=2255.14\text{ J} \end{gathered}\)Thus, the kinetic energy of the student is 2255.14 J.
(c). The mechanical energy of the student is the energy acquired by the student during its motion.
Thus, the mechanical energy of the student is 2255.14 J.
WORTH 50 POINTSSSS!!!!!!!! don't lie either if you do I will report your answer and get my points back idc !!!!!!
This political cartoon summarizes proposed legislation to stop immigration into the United States through the use of
A. Income
B. Military force
C. Building a barrier wall
D. Educational requirements
Answers
Answer:
b
Explanation:
To minimize signal distortion, at each end of the J-1939 CAN-bus there is a(n)_____________resistor.
Answers
Extra
Variable
120-ohm
Variable
Pg. 614
What is the kinetic energy of a 55 kg object moving at a velocity of 9 m/s
Answers
Answer: The kinetic energy of a 55 kg object moving at a velocity of 9 m/s is 2,947.25 joules (J).
Explanation:
Kinetic energy (KE) is given by the formula KE = (1/2)mv^2, where m is the mass of the object in kilograms and v is the velocity of the object in meters per second.
Substituting the given values, we have KE = (1/2)(55 kg)(9 m/s)^2 = 2,947.25 J.
Therefore, the kinetic energy of the object is 2,947.25 J.
WILL GIVE BRAINLIST ANSWER Read about early warning systems and use the topographic map and road map of Virginia to answer the following questions. A hurricane watch for a category five storm has been issued for the coast of Virginia.
What natural disasters could be associated with this storm in coastal regions?
What would be the best emergency action plan?
What would be a safe evacuation route if needed?
Answers
Answer:
What natural disasters could be associated with this storm in coastal regions?
• wave surges
• tides and tsunami.
What would be the best emergency action plan?
• Evacuation of the current residents.
What would be a safe evacuation route if needed?
• in the attachment
Answer:
Natural disasters that could be associated with this storm in coastal regions could include wave surges, tides, and tsunamis. The best emergency action plan under these circumstances would be the evacuation of residents in the at risk areas. The best evacuation routes depend on where residents and/or tourists are coming from. Residents north of I-164 should take 1-64 West, toward Richmond. Residents south of I-264 and oceanfront residents/tourists should take I-264 to 1-64 East, toward Suffolk.
Explanation:
HELP THIS IS TIMED PLEASE OMG
Answers
Answer:
d) 40000 kgm/s
Explanation:
The formula for momentum is p = m*v
so p = 100*400
p = 40000 kgm/s
step by step process please
I know the ans but not the process
pic attached
Answers
Answer:
\(\huge\boxed{\sf F= 350 \ N}\)
Explanation:
Considering pivot as the central point,
Key:
Torque = Force F × radius rAnticlockwise torque = Clockwise torque\(F_1r_1=F_2r_2\)
Here,
Anticlockwise force is FClockwise force is 600 N\(r_1=70+50= 120 \ cm = 1.2 \ m\)\(r_2=70 \ cm = 0.7 \ m\)Solution:Substitute the givens in the above formula.
\(F(1.2)=600(0.7)\\\\F(1.2)=420\\\\Divide \ 1.2 \ to \ both \ sides\\\\F=420/1.2\\\\F= 350 \ N\\\\\rule[225]{225}{2}\)
Ciara is swinging a 0.015 kg ball tied to a string around her head in a flat, horizontal circle. The radius of the circle is 0.50 m. It takes the ball 0.70 seconds to complete one full circle. Calculate the tension in the string and its direction that provides the centripetal force acting on the ball to keep it in the circular path.
A. 0.60 N, along the line tangent to the circle
B. 0.015 N, along the line tangent to the circle
C. 0.60 N, toward the center of the circle
D. 0.015 N, toward the center of the circle
Answers
Answer:
Option C
Explanation:
From the question we are told that:
Mass \(m=0.015kg\)
Radius \(r=0.5m\)
Time \(t=0.70\)
Generally the equation for Tension is mathematically given by
\(T=\frac{4mr}{t^2} \pi\)
\(T=\frac{4*0.015*0.5}{(0.70)^2} (3.142)\)
\(T=0.60N\)
Therefore
\(T=0.60 N\), toward the center of the circle
Option C
Answer:
0.60 N, toward the center of the circle
Explanation:
Got it right on the test.
Please answer!!! This is due today so please help me, thank you! :)
Answers
3.a student plots z-1 vs. 1/vm based on data collected during an isothermal expansion of co2. what would you expect the y-intercept to be and why? (2 points)
Answers
If the gas were an ideal gas, the y-intercept would be zero since Z=1 [Z-1 --> 1-1=0] in the gas's isothermal expansion.
One criterion, known as isothermal expansion, includes maintaining a constant temperature for the gas. To preserve energy, the gas must absorb heat as it works against the restraining force of the piston. Otherwise, as it spreads, it will cool (or conversely heat as it is compressed).
If the gas is perfect, the y-intercept would be zero since Z=1 [Z-1 --> 1-1=0].
The phrase ideal gas refers to a hypothetical gas made up of molecules that adhere to a few rules: The molecules of an ideal gas do neither attract or repel one another.
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the answer to the previous question indicates that the upward buoyant force on an object immersed in water (or other fluid) is equal to group of answer choices the weight of the volume of the object below the surface of the water (or fluid). the weight of the entire object. the weight of volume of the water (or fluid) equal to the volume of the object. the weight of the volume of water (or fluid) displaced by the object.
Answers
The correct answer is the Option D.
weight of volume of the water (or fluid) displaced by the object.
What is buoyant force ?
The buoyant force is the upward force exerted on an item that is fully or partially submerged in a fluid. This upward thrust is also known as an upthrust. A body submerged partially or completely in a fluid will appear to lose weight or be lighter due to the buoyant force.
The weight of the volume of water or fluid displaced by the object and that upward buoyant force will be at the center of mass of the fluid or water that displaced.
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This Is Science , please help it’s due at 3 , but I dont mind if its a little late.
Answers
Answer:
uhm you can get all these answers from go ogle but just so you dot get in trouble click the tree dots at the top right of your screen (this is if your using crome) and go to history click the square and there should be a delete thing
Explanation:
Answer:
4. I and II 9. tornado
Explanation:
Suppose that a NASCAR race car is moving to the right with a constant velocity of +90 m/s. What is the
average acceleration of the car? (b) Twelve seconds later, the car is halfway around the track and traveling in
the opposite direction with the same speed. What is the average acceleration of the car? (a) a = (b) a = i
Answers
The average acceleration of the car in the first scenario is zero since the velocity remains constant and the average acceleration of the car in the second scenario is -15 m/s² as the car changes direction and its velocity decreases respectively.
The average acceleration of the NASCAR race car in both scenarios can be calculated using the formula:
average acceleration = (final velocity - initial velocity) / time
(a) In the first scenario, the car is moving to the right with a constant velocity of +90 m/s. Since the velocity is constant, there is no change in velocity over time. Therefore, the average acceleration of the car is zero.
(b) In the second scenario, the car is halfway around the track and traveling in the opposite direction with the same speed of 90 m/s. Here, the initial velocity is +90 m/s and the final velocity is -90 m/s. The time taken for the car to travel halfway around the track is 12 seconds.
Using the formula for average acceleration, we can calculate:
average acceleration = (-90 m/s - 90 m/s) / 12 s = -180 m/s / 12 s = -15 m/s²
Thus, the average acceleration of the car in the first scenario is zero since the velocity remains constant and the average acceleration of the car in the second scenario is -15 m/s² as the car changes direction and its velocity decreases respectively.
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5. What structure did Friedrich Kekule discover that allowed carbon atoms can bond
with up to four other atoms at the same time?
Answers
A car travels 500 km from home at 35 m/s, then travels back at 43 m/s. Find its average speed.
Answers
The average speed of the car is 35.6m/s
What is average speed?The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction. It is measured in meter per second
Therefore average speed = total distance / total time taken
The total distance here is 500+ 500= 1000km = 1×10⁶m
the time taken for the first journey = 500×1000/35= 14285.71 seconds
the time taken for traveling back = 500000/43= 11627.91 seconds
total time taken = 14285.71 + 11627.91 = 25913.62seconds
therefore average speed = 1000000/25913.62
= 35.6m/s
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Steve is recording the temperature of an object on Celsius and Fahrenheit scales. Relationship between the two scales is given by F = 1.8 ⋅ C. Steve will plot the Celsius readings along the y-axis and the Fahrenheit readings along the x-axis. (5 points) True False
Answers
Answer:
False
Explanation:
since the Farenheit depends on the amount of Celsius times (*) 1.8 (F= 1.8 * C),
then we can deduce that Farenheit is the dependent variable while celsius is independent. after this, remember that the independent variable is the X value and the dependent variable is the Y value.
Kristina demonstrates a toy for her younger brother. The steps to operate the toy are listed below. Step 1. Push the toy down. Step 2. A spring compresses. Step 3. Release the toy. Step 4. The toy jumps into the air. Which best describes Step 4? Elastic potential energy changes to gravitational potential energy. Gravitational potential energy changes to elastic potential energy. Kristina does work to increase the gravitational potential energy. Kristina does work to increase the elastic potential energy.
Answers
Answer:
It's A
Elastic potential energy changes to gravitational potential energy
Explanation:
Step 4 can be described as "elastic potential energy changes to gravitational potential energy." The correct option is A.
What is the difference between potential energy and gravitational potential energy?Potential energy is the energy stored in an object due to its position, configuration, or state. It is a scalar quantity that describes the amount of energy that an object possesses by virtue of its position or configuration.
Gravitational potential energy, on the other hand, is a specific type of potential energy that is associated with an object's position in a gravitational field. It is defined as the amount of work that must be done to move an object from its current position to a reference position where its gravitational potential energy is zero, typically at an infinite distance away from the gravitational source.
The gravitational potential energy of an object depends on its mass, its height above a reference level, and the strength of the gravitational field in which it is located. The formula for gravitational potential energy is:
PE_grav = mgh
Where PE_grav is the gravitational potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above the reference level.
So, potential energy is a general term for any type of energy stored in an object, while gravitational potential energy is a specific type of potential energy that is associated with an object's position in a gravitational field.
Here in the Question,
When the toy is pushed down in Step 1, energy is stored in the spring as elastic potential energy. As the spring compresses in Step 2, this potential energy is increased.
When the toy is released in Step 3, the compressed spring rapidly expands and releases the stored elastic potential energy. This energy is then converted into kinetic energy as the toy jumps into the air.
As the toy jumps into the air, its height increases and it gains gravitational potential energy. This energy is due to the toy's position in a gravitational field, and it is stored in the toy's interaction with Earth's gravitational pull.
Therefore, the energy transformation that occurs in Step 4 is from elastic potential energy to gravitational potential energy.
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Complete this sentence: Only the most reactive metals in the chart
react with______.
Answers
Completing the sentence given ; Only the most reactive metals react with water
Reactivity of metals is a chemical property that measures the rate at which metals easily loses their electrons in substances to form a positive ion in a substance.
The most reactive metals react vigorously with water while the least reactive metals does not react with water and dilute acids vigorously but they slowly react with oxygen.
Examples of very reactive metals are :
Potassium sodium and LithiumHence we can conclude that Only the most reactive metals react with water.
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When a 45 kg cannon ball leaves a barrel it has a momentum of 14000 kg.m/s. What
is the speed of the ball at the end of the barrel?
Answers
what is the charge of a newly formed oxygen ion
Answers
The charge of a newly formed oxygen ion would be -2
Hope this helps :)
In water quality, the symbol "mg/L" is equivalent to:
a. Micrograms per liter
b. Parts per million
c. Parts per billion
d. Mostly good levels
Answers
The symbol "mg/L" in water quality represents milligrams per liter, which is a unit of measurement commonly used to express the concentration of substances in water. Option a is right choice.
The symbol "mg/L" in water quality refers to milligrams per liter, which is a unit of measurement commonly used to express the concentration of substances in water.
This unit represents the number of milligrams of a particular substance that are present in one liter of water.
In the context of water quality, the concentration of various substances is typically measured in parts per million (ppm) or parts per billion (ppb). For example, the concentration of dissolved oxygen in water is typically expressed in milligrams per liter (mg/L), which is equivalent to ppm.
Micrograms per liter (µg/L) is another unit of measurement that is commonly used to express the concentration of substances in water.
However, this unit is typically used for substances that are present in very low concentrations, such as certain pollutants or toxins. In some cases, concentrations may be expressed in parts per trillion (ppt), which is equivalent to µg/L.
Option a is right choice.
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What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 × 10 24 kg and radius of the earth is 6.4 × 10 6 m.)
Answers
Answer:
Explanation:
just use the gravational force equation which is G x m of earth x m of object divided by r squared (which is radius of earth)