A 6.40 kgkg block moves in a straight line on a horizontal frictionless surface under the influence of a horizontal force F⃗ F→. As a result, the block's position varies as x(t)=αt^2+βt^3, where α = 0.190 m/s^2 and β = 2.05×10−2 m/s^3 .
What is the value of the velocity of the block at time t = 3.60 s ?
What is the magnitude of F⃗ F→ at time t = 3.60 s ?
How much work is done on the block by the force F⃗→ during the first 3.60 s ?
Answers
At t = 3.60 s, the velocity of the block is approximately 2.736 m/s, and the magnitude of the force F is approximately 6.31 N. The work done on the block by the force F during the first 3.60 s is approximately 25.081 Joules.
1. Velocity at t = 3.60 s:
\(v(t) = 2\alpha t + 3\beta t^2\)
\(V(3.60)=2(0.190)(3.60) + 3(2.05\times 10^{-2})(3.60)^2\)
Calculating this expression gives us the velocity at t = 3.60 s:
v(3.60) ≈ 2.736 m/s
2. Magnitude of the force F at t = 3.60 s:
To find the magnitude of the force F, we need to calculate the acceleration at t = 3.60 s. Using the position equation:
a(t) = 2α + 6βt
\(a(3.60) = 2(0.190) + 6(2.05\times 10^{-2})(3.60)\)
Calculating this expression gives us the acceleration at t = 3.60 s:
\(a(3.60) \approx 0.988 m/s^2\)
Now, using Newton's second law, F = ma, we can find the magnitude of the force:
F = m * a
F = \(6.40 kg * 0.988 m/s^2\)
Calculating this expression gives us the magnitude of the force F at t = 3.60 s:
F ≈ 6.31 N
3. Work done on the block by the force F during the first 3.60 s:
To calculate the work done, we need to find the change in kinetic energy.
The initial kinetic energy is zero since the block starts from rest.
Final kinetic energy (KE(final)) can be calculated using the velocity at t = 3.60 s:
KE(final) = \((1/2) * m * v^2\)
KE(final) = \((1/2) * 6.40 kg * (2.736 m/s)^2\)
Calculating this expression gives us the final kinetic energy:
KE(final) ≈ 25.081 J
The work done is equal to the change in kinetic energy:
Work = ΔKE = KE(final) - KE(initial)
Work ≈ 25.081 J - 0 J
Work ≈ 25.081 J
Therefore, the work done on the block by the force F during the first 3.60 s is approximately 25.081 Joules.
In summary:
- The velocity of the block at t = 3.60 s is approximately 2.736 m/s.
- The magnitude of the force F at t = 3.60 s is approximately 6.31 N.
- The work done on the block by the force F during the first 3.60 s is approximately 25.081 Joules.
To know more about velocity refer here:
https://brainly.com/question/31500058#
#SPJ11
Related Questions
A boat of mass 225 kg drifts along a river at a speed of 21 m/s to the west.
What impulse is required to decrease the speed of the boat to 15 m/s to the
west?
A. 3375 kg•m/s west
B. 1350 kg•m/s east
C. 1350 kg•m/s west
D. 3375 kg•m/s east
Answers
Explanation:
I=MV
=225×(15- 21)
=225×-5
Answer:
B. 1350 kg•m/s east
Explanation:
........
What does N.A.S.A stand for?
Answers
Answer : National Aeronautics and Space Administration
Problem : What does N.A.S.A stand for?
Explanation: NASA astronaut Christina Koch is pictured during a spacewalk. NASA stands for National Aeronautics and Space Administration. NASA was started on October 1, 1958, as a part of the United States government. NASA is in charge of U.S. science and technology that has to do with airplanes or space.
Hopefully this helps you!
A car traveling south is 200 kilometers from its starting point after 2 hours. What is the average velocity of the car? (OP A. 100 kilometers/hour south B. 200 kilometers/hour C. 200 kilometers/hour north 100 kilometers/hour
Answers
Answer:
A
Explanation:
take note that v=d/t (velocity is distance over(divided by) time, so in this case it would be 200 (distance) divided by 2 (time)
What is the energy required to change the temperature of 1 kg of water from 27 oc to 77 oc? remember, that the specific heat 4186 j/kg c. answer only in numbers to the nearest whole number. what is the energy required to change the temperature of 1 kg of water from 27 oc to 77 oc? remember, that the specific heat 4186 j/kg c. answer only in numbers to the nearest whole number.
Answers
The energy required to change the temperature from 26°C to 64°C is 209300 J.
Heat is a form of energy that can be transferred from one object to another due to different temperatures.
The heat required to raise the temperature is expressed by the equation:
Q = m.c.ΔT
where,
Q: Heat (Joules)
m: mass (kg)
ΔT: temperature change (°C)
c: specific heat (J/kg C)
In the given question mass are 1 kg and the temperature change from 27°C to 77°C. (the specific heat is 4186 J/kg°C)
Q = m.c.ΔT
Q = 1 x 4186 x (77°C - 27°C)
Q = 4186 x 50°C
Q = 209300 J
So, the energy required to change the temperature is 209300 J.
To know more about heat visit:
https://brainly.com/question/29284210
#SPJ4
You are watching two puppies fight over a rubber toy. The puppy on the right pulls its end of the toy toward the right while the puppy on the left pulls its end of the toy toward the left. Suddenly, the puppy on the right pulls its end of the toy violently toward the right while the puppy on the left keeps its end of the toy from moving. The toy breaks into two pieces. Breaking the toy required energy and that energy was provided by
Answers
The force exerted by the puppy on the right. When the puppy pulled the toy violently, it applied a significant force to overcome the resistance from the puppy on the left and ultimately caused the toy to break. The energy required to break the toy came from the work done by the puppy on the right as it pulled on its end of the toy.
In this scenario, energy is transferred from the puppy's muscles to the toy through the pulling action. The puppy's muscles convert chemical energy stored in food into mechanical energy, which is then used to exert a force on the toy. This force, applied over a distance, does work on the toy and transfers energy to it.
It's important to note that the toy breaking is a result of the forces and energy involved in the interaction between the two puppies. The violent pull from the puppy on the right exceeded the strength of the toy, causing it to break.
To learn more about mechanical energy visit: https://brainly.com/question/30403434
#SPJ11
how did life evolve from nonliving matter?
Answers
PLZ HELP ME 50 POINTS AND BRAINLEIST TO FIRST PERSON Give an example of the strong surface tension exhibited by water
Answers
Answer:
Water striders have strong intermolecular forces on their legs which enables them to run on water.
Match each term with its best description.
Metamorphic
rock
Foliation
Burial
metamorphism
Parent rock
?
?
?
?
The original rock before it
metamorphoses.
Parallel alignment of platy
grains.
A rock changed by heat,
pressure, and fluids.
A process that changes
rock because of pressure
with equal intensity from
Answers
Metamorphic rock: A rock changed by heat, pressure, and fluids.
Foliation: Parallel alignment of platy grains.
Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides.
Parent rock: The original rock before it metamorphoses.
Metamorphic rock: A rock changed by heat, pressure, and fluids. The word metamorphic means change in form. Metamorphic rocks are made by rocks that have been altered in some way. This can happen through heat, pressure, and fluids. Examples of metamorphic rocks include slate, gneiss, and marble.
Foliation: Parallel alignment of platy grains. Foliation is a term used to describe the parallel alignment of platy grains in a metamorphic rock. This is caused by pressure during metamorphism. The platy grains can be minerals like mica or clay.
Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. This can happen when rocks are buried deep within the earth's crust.
Parent rock: The original rock before it metamorphoses. The parent rock is the original rock before it metamorphoses. This rock is changed into a metamorphic rock through the process of metamorphism.
To summarize, metamorphic rock is a rock that has been changed by heat, pressure, and fluids. Foliation refers to the parallel alignment of platy grains. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. The parent rock is the original rock before it metamorphoses.
For more such questions on Metamorphic rock, click on:
https://brainly.com/question/20475194
#SPJ8
I WILL GIVE BRAINLIEST!!!
Answers
Answer:
7.27 m/s
Explanation:
40/5.5 = 7.27m/s
What would most likely be included in the "Analysis" section of a lab report?
O a discussion of any errors in the experimental data
a list of the supplies that were used in conducting the experiment
Osuggestions for new experiments based on the results
Oa description of what the dependent and independent variables were
Answers
The "Analysis" section of a lab report would most likely includes:
a. a discussion of any errors in the experimental datad. a description of what the dependent and independent variables were.What components are typically found in the "Analysis" section of a lab report?In the "Analysis" section of a lab report, it is common to discuss any errors or uncertainties that may have affected the experimental data. This may involve identifying sources of systematic and random errors and discussing their potential impact on the results.
Also, the section would typically describe the dependent and independent variables used in the experiment, providing a clear understanding of the factors being investigated and manipulated. By addressing these aspects, the "Analysis" section helps to evaluate the reliability and validity of the experimental findings.
Read more about lab report
brainly.com/question/29500102
#SPJ1
Calvin is running down the sidewalk at 6 m/s. If he has a mass of 65 kg, what is his kinetic energy?
Answers
Answer:
1,170
Explanation:
Kinetic energy=1/2×m×velocity squared
a spring, stiffness constant, ks hangs vertically from a fixed support. you attach a block of mass m to the spring and lower it very slowly until it hangs freely from the spring, which has an extension, s. The block is the system. Acceleration due to gravity is g downward. Ignore air resistance. Explain your answer in each questionsWhat is the work, Ws done by the spring ?a. -(mg)2/(2ks)b. +(mg)2/(2ks)c. -(mg)2/(ks)d. +(mg)2/(ks)e. None of the above
Answers
The work done by the spring is -(mg)2/(2ks). Therefore, the correct option is A.
The work done by the spring, Ws, is determined by the force of the spring and the displacement of the block. The spring has a stiffness constant, ks, so the force exerted by the spring is ks multiplied by the displacement, s.
The block has a mass, m, and is in the presence of acceleration due to gravity, g. The work done by the spring is therefore
Ws = -(1/2) x ks x s² = -(1/2) x ks x (mg/ks)² = -(mg)²/(2ks).
Therefore, the answer is A: -(mg)2/(2ks)
The work done by the spring can be expressed in terms of the force of the spring and the displacement of the block. The force of the spring is proportional to the stiffness constant, ks, and the displacement of the block is dependent on the mass, m, and acceleration due to gravity, g.
The work done by the spring is equal to the negative of one-half of the stiffness constant multiplied by the displacement squared. Therefore, the answer is -(mg)2/(2ks).
To know more about work refer here:
https://brainly.com/question/31050706#
#SPJ11
Spring compressed 10cm by 100N force and held in place with Pin. Pin is pulled and block is pushed Up the incline. Uk(coefficient of kinetic energy)=. 39
Determine the speed of block after the Spring extends forward 7cm,
Determine the height at which the block will stop moving
Determine the length of the incline such that the leading edge of the block is stopped when the block reaches the end of the incline.
Answers
The compression of 10 cm by a 100 N force on the plane that has a
coefficient of friction of 0.39 give the following values.
The velocity of the block after the Spring extends 7 cm is approximately 1.73 m/sThe height at which the block stops rising is approximately 1.1415 mThe length of the incline is approximately 1.536 mHow can the velocity and height of the block be calculated?Mass of the block, m = 3 kg
\(Spring \ constant, K = \dfrac{100 \, N}{0.1 \, m} = \mathbf{ 1000\, N/m}\)
Coefficient of kinetic friction, \(\mu_k\) = 0.39
Therefore, we have;
Friction force = \(\mathbf{\mu_k}\)·m·g·cos(θ)
Which gives;
Friction force = 0.39 × 3 × 9.81 × cos(48°) ≈ 7.68
Work done by the motion of the block, W ≈ 7.68 × d
The work done = The kinetic energy of the block, which gives;
\(\mathbf{\dfrac{1}{2} \times k \cdot x^2 }= 7.68 \cdot d\)
The initial kinetic energy in the spring is found as follows;
K.E. = 0.5 × 1000 N/m × (0.1 m)² = 5 J
The initial velocity of the block is therefore;
5 = 0.5·m·v²
v₁ = √(2 × 5 ÷ 3) ≈ 1.83
Work done by the motion of the block, W ≈ 7.68 N × 0.07 m ≈ 0.5376 J
Chane in kinetic energy, ΔK.E. = Work done
ΔK.E. = 0.5 × 3 × (v₁² - v₂²)
Which gives;
ΔK.E. = 0.5 × 3 × (1.83² - v₂²) = 0.5376
Which gives;
The velocity of the block after the Spring extends 7 cm, v₂ ≈ 1.73 m/sThe height at which the block will stop moving, h, is given as follows;
\(At \ the \ maximum \ height, \ h, \ we \ have ; \ \dfrac{1}{2} \times 1000 \times 0.1^2 = 7.68 \times x\)
Which gives;
\(Length \ of \ the \ incline \ at \ maximum \ height, \ x_{max} =\dfrac{ 7.68 }{ \dfrac{1}{2} \times 1000 \times 0.1^2 } \approx 1.536\)
The distance up the inclined, the block rises, at maximum height is therefore;
\(x_{max}\) ≈ 1.536 m
Therefore;
h = 1.536 × sin(48°) ≈ 1.1415
The height at which the block stops rising, h ≈ 1.1415 mFrom the above solution for the height, the length of the incline is he
distance along the incline at maximum height which is therefore;
Length of the incline, \(x_{max}\) = 1.536 mLearn more about conservation of energy here:
https://brainly.com/question/7538238
The perpendicular distance between the line of action of the force and the center of rotation is called the
Answers
Answer:
The moment arm or lever arm is the perpendicular distance between the line of action of the force and the center of moments.
Explanation:
Moment = Force x Distance or M = (F)(d)
Bx = -1.33 m and By = 2.81 m
Find the magnitude of the
vector.
Answers
Answer:
Explanation:
The formula for the magnitude of a vector is
\(B_{mag}=\sqrt{(-1.33)^2+(2.81)^2}\) and then round to the hundredths place:
3.11 m. Since we are in Q2, we can also find the direction of this vector:
\(tan^{-1}(\frac{2.81}{-1.33})=-64.7\) but since we are in Q2, we add 180 degrees to the result, getting the angle to be 115.3
Answer:115.33
Explanation:
Animals which only consume other animals are called
Answers
Answer:
Carnivores
Explanation:
A carnivore is an organism that mostly eats meat, or the flesh of animals. Sometimes carnivores are called predators. Organisms that carnivores hunt are called prey.
Carnivores are a major part of the food web, a description of which organisms eat which other organisms in the wild. Organisms in the food web are grouped into trophic, or nutritional, levels. There are three trophic levels. Autotrophs, organisms that produce their own food, are the first trophic level. These include plants and algae. Herbivores, organisms that eat plants and other autotrophs, are the second trophic level. Carnivores are the third trophic level. Omnivores, creatures that consume a wide variety of organisms from plants to animals to fungi, are also the third trophic level.
Which new type of bacteria was introduced to Patient 23's gut microbiome?
Answers
Answer:
Gut flora
Explanation:
F. What force is necessary for a person to hold a 50 kg mass over their head?
Answers
Answer: 490.5 N
Explanation:
In this case, the only two forces acting on the mass are the person's strength (i.e. the force in question) and the weight of the mass.
The sum of the forces is equal to 0. This means that Force (person) = Force (weight).
Fp = Fw = m * gravity
Fp = 50 kg * 9.81 m/s^2
Fp = 490.5 (kg*m/s^2)
Fp = 490.5 N
Which type of force is most sensitive to distance. Select one: a. gravitational force b. electrical force c. strong nuclear force d. Jedi's force.
Answers
From the given options electrical force is most sensitive to the distance.
In electrostatics, the electrical force between two charged particles is inversely proportional to the distance of separation between the two particles. By Increasing the separation distance between particles, the force of attraction or repulsion between the particles can be decreased. And by decreasing the separation distance between particles, the force of attraction or repulsion between the particles can be increased.
As the distance between two charge particles are of atomic level, or we can say very small, as compared to the gravitational force or other force, so we can say that electrical forces are extremely sensitive to distance. A small change in the distance between the charged particles can cause major changes in the force between them.
Hence the correct option is B.
To know more about electrical force, here
https://brainly.com/question/2526815
#SPJ4
A car starts from rest and accelerates along a straight line path in one minute. it finally attains a velocity of 40 meters per second. what is the car's average acceleration
Answers
4rt4er565976769678678677
Levers pivot on the
A. fulcrum
B. resistance arm
C. effort arm
D.moon
Answers
Answer: it’s A
Explanation: hope this is right!!!!
Molly is investigating the change in the motion of an object. She kicks a soccer ball that Is sitting on a soccer field three times. Molly uses a device to measure the force of her kick, and changes the force of her kick each time. The data that she collected are shown in the table below.
Force of Kick
(N)
Distance Traveled (m)
150
31
200
39
270
47
In 6-10 sentences explain how Molly altering the force of her kicks altered the movement of the ball. You may discuss the experiment in terms of Newton's three laws of motion, acceleration and momentum, energy transfer, and /or conservation of energy. Be sure to use appropriate vocabulary in your explanation.
B
i
U
§
×.
x2
=
=
E
=트 트 41 x
Special Characters
Answers
Molly's experiment involved kicking a soccer ball with varying amounts of force and observing the resulting change in the ball's motion.
How does altering the force alter the movement of the ball?Newton's three laws of motion can help explain how the force of Molly's kicks affected the ball's movement.
Newton's first law of motion states that an object at rest will stay at rest and an object in motion will stay in motion with a constant velocity unless acted upon by an unbalanced force. In this experiment, the soccer ball was at rest before each kick, so the force of Molly's kicks acted as an unbalanced force, causing the ball to accelerate and move. The greater the force of her kick, the greater the acceleration and resulting distance the ball traveled.
Newton's second law of motion states that the acceleration of an object is directly proportional to the force applied and inversely proportional to its mass. In this case, the mass of the soccer ball remained constant, but the force of Molly's kicks varied. As a result, the acceleration of the ball was directly proportional to the force of her kick.
Finally, Newton's third law of motion states that for every action, there is an equal and opposite reaction. When Molly kicked the soccer ball, the ball exerted an equal and opposite force back on her foot, which is why she felt the impact of the kick.
Energy transfer also played a role in this experiment. When Molly kicked the ball, she transferred energy from her foot to the ball. The greater the force of her kick, the more energy was transferred to the ball, resulting in a greater distance traveled.
To know more about Newton's three laws of motion, visit:
https://brainly.com/question/29775827
#SPJ1
A filament bulb, rated at 40W, converts 10% of its electrical energy supply to light energy. Calculate the quantity of light energy emitted in five minutes
Answers
The quantity of light energy emitted at 40W, in five minutes or 300 seconds will be 1200J.
Equation:
40 W total power
40 W = 40 J/s (joules per second)
10% efficiency
Efficiency x Power Equals Actual Power output
40x0.1 = 4W
Power x Time Equals Energy
300 s x 4 W = 1200 J
Energy of Light = 1200 J
Things like stars, lightbulbs, lasers, and hot objects all emit light energy. Light energy travels from stars like our Sun to the Earth. A natural source of light energy is the Sun.
The electromagnetic spectrum is much larger than the light we can see, which is made up of each hue in the rainbow. Other forms of light include those that are invisible to the human sight, such as radio waves, microwaves, infrared radiation, ultraviolet rays, X-rays, and gamma rays.
To know more about energy, visit:
https://brainly.com/question/1932868
#SPJ1
What is the plate tectonic theory? *
Answers
Answer:
Plate tectonics is a scientific theory describing the large-scale motion of seven large plates and the movements of a larger number of smaller plates of Earth's lithosphere, since tectonic processes began on Earth between 3.3 and 3.5 billion years ago
The total sum of atoms in an object.
Answers
Answer:
Mass
Explanation:
The total sum of atoms in an object is the mass of the object. There are several ways to quantify the number of atoms in a substance.
In chemical calculations, the number of moles is a good representation of the number of atoms contained in a body. Mass is the amount of substances a body has. If we can sum up all the atoms in a substance, one will arrive at the mass of the substancepls help asap. will mark as brainliest if correct
Answers
Answer:
Hey mate, here is your answer answer. Hope it helps you
Explanation:
1. If a worker has come into contact with electricity the worker may not be able to remove themselves from the electrical source. The human body is a good conductor of electricity. If you touch a person while they are in contact with the electrical source, the electricity will flow through your body causing electrical shock. Firstly attempt to turn off the source of the electricity (disconnect). If the electrical source can not readily and safely be turned off, use a non-conducting object, such as a fibreglass object or a wooden pole, to remove the person from the electrical source.
2. C- Electrical energy.The term electrical activity means that the food itself has the power to generate electric energy that persists some period of time. This work presents a purely renewable energy as energy comes. the zinc reacts with food tissue.
Resistor connected so that there is more than one path for the current
Answers
A resistor connected so that there is more than one path for the current is referred to as a parallel resistor configuration.
In this type of configuration, the resistors are connected side by side, with each resistor having its own path for the current to flow. The benefit of this configuration is that it allows for a greater amount of current to flow through the circuit, as the overall resistance is reduced. This is because the current can choose to flow through one or more of the resistors, depending on their individual resistance values. In addition, if one resistor fails or is removed from the circuit, the other resistors can continue to function properly.
However, it's important to note that the total resistance of the circuit will always be lower than the lowest individual resistance of the parallel resistors. This means that care must be taken to ensure that the combined resistance does not become too low, as it could result in excessive current flow and potential damage to the circuit or components. So, in short, a resistor connected so that there is more than one path for the current is a parallel resistor configuration that can provide increased current flow and redundancy in a circuit.
To know more about resistor visit:-
https://brainly.com/question/24297401
#SPJ11
The units of energy on your parents' power bill are kWh (kilowatt hour) and a Watt is a J/s (joule per second). If your family uses 3000 kWh, how many joules did your family use?
Answers
Answer:
3000000
Explanation:
1 kilowatt=1000 watts
3000×1000
3000000
a receiver in a football game is standing still, having just caught a pass. before he can move, a tackler, running at a velocity of 4.0 m/s, grabs him. the tackler holds onto the receiver, and the two move off together with a velocity of 3 m/s. the mass of the tackler is 100 kg. assuming that momentum is conserved, find the mass of the receiver.
Answers
According to the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision.
Let's assume the mass of the receiver is denoted as "m" (in kg).
Before the collision:
Momentum of the tackler (p1) = mass of the tackler (m1) * velocity of the tackler (v1)
Momentum of the receiver (p2) = mass of the receiver (m) * velocity of the receiver (0, as the receiver is standing still)
After the collision:
Total momentum = momentum of the tackler + momentum of the receiver
The total momentum after the collision is:
Total momentum = (mass of the tackler + mass of the receiver) * velocity after the collision (3 m/s)
Since momentum is conserved, we can equate the total momentum before and after the collision:
p1 + p2 = (m1 * v1) + (m * 0) = (m1 * v1) = (m1 + m) * 3
Simplifying the equation, we get:
m1 * v1 = m1 * 3 + m * 3
m1 * v1 = 3 * (m1 + m)
Now we can substitute the given values into the equation. Given:
m1 = 100 kg
v1 = 4.0 m/s
Substituting the values, we have:
100 * 4.0 = 3 * (100 + m)
Simplifying the equation:
400 = 300 + 3m
3m = 100
m = 100 / 3 ≈ 33.33 kg
Therefore, the mass of the receiver is approximately 33.33 kg.
Read about momentum here:
brainly.com/question/18798405
#SPJ11
how does the pressure of a gas change when it is compressed? group of answer choices it will not change because there is no relationship between volume and pressure. it will increase because p1v1
Answers
When the gas is compressed then the pressure of the gas increases .
The Pressure of Gas is defined as the stress exerted on the walls of its container that the gas exerts.
By the property of Compressibility of the gas ;
if the temperature is maintained constant , and when the gas is compressed ,
the volume of the gas decreases which leads to the increase in the pressure of the gas .
that means , when the gas is compressed then the pressure increase .
Therefore , the increase in compression of gas leads to increase in pressure .
Learn more about Pressure here
https://brainly.com/question/29771534
#SPJ4