The distance covered by the cart is 1.799 meters
The cart will accelerate as a result of the force being given to it, and the cart will move as a result of the acceleration. The equation can be used to determine the cart's acceleration-
equation
a=F/m (1)
the traveled distance can be found using the equation
equation
s=ut+1/2at2 (2)
Given:
• Mass of the cart m=37 kg
• Force applied F=13 N
• Friction is negligible.
Since the friction is negligible all applied force will cause acceleration
Hence acceleration a=F/m=13/37≈0.3514 m/s2
When the cart was pushed it has initial velocity zero. Hence from question we have
• Initial velocity u=0
• Time t=3.2 s
• Acceleration a=0.3514 m/s2
Now using the 2nd equation we get the traveled distance
s=ut+1/2at2
s=0+1/2×0.3514×10.24
s≈1.799 m
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If a person displaces a mass of
60kg through 300 metres in 1
Minute, what is the power?
?
Answer:
Power = 2940 Watts
Explanation:
Given the following data;
Mass = 60 kg
Height = 300 meters
Time = 1 minutes = 60 seconds
To find the power;
First of all, we would determine the potential energy possessed by the person due to height.
We know that acceleration due to gravity is equal to 9.8 m/s².
Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
\( P.E = mgh\)
Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Substituting into the formula, we have;
P.E = 60 * 9.8 * 300
P.E = 176400
Next, we find the power using the following formula;
Power = energy/time
Power = 176400/60
Power = 2940 Watts
An object is attached to a spring and experiences a restoring force of 50 N . The spring constant is found to be 150N/m. How far the object displaced from equilibrium?
Answer:
Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's activities.
Explanation:
LLLLLL
If the bat and softball were in contact for 0.70 ms, what is the average force that the bat exerted on the ball
The average force exerted by the wall on the ball is approximately 6 N when the time of contact is approximately 0.82 seconds.
To determine the average force, we'll use the impulse-momentum principle, which states that the change in momentum of an object is equal to the impulse applied to it. The impulse is defined as the product of force and time.
The change in momentum of the ball can be calculated using the formula:
Δp = m × Δv
where Δp is the change in momentum, m is the mass of the ball, and Δv is the change in velocity.
Given:
m = 0.70 kg (mass of the ball)
Δv = 2.0 m/s - (-5.0 m/s) = 7.0 m/s (change in velocity)
Substituting the values into the formula:
Δp = (0.70 kg) × (7.0 m/s)
Δp = 4.90 kg·m/s
We want to find the average force, so let's assume a time interval of contact, denoted as Δt.
The impulse applied to the ball is equal to the change in momentum:
Impulse = Δp = 4.90 kg·m/s
Now we can determine the average force using the formula:
Average Force = Impulse / Δt
Given that the desired average force is 6 N, we can set up the equation:
6 N = 4.90 kg·m/s / Δt
Rearranging the equation to solve for Δt:
Δt = 4.90 kg·m/s / 6 N
Δt ≈ 0.82 s
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the complete question is:
A 0.70 kg ball moving horizontally at 5.0 m/s strikes a vertical wall and rebounds with a speed of 2.0 m/s. What is the average force that the wall exerted on the ball?
According to the Premable to Bill of Rights what is the purpose of the bill of rights guaranteed everyone's rights to stop people from depriving others of their rights
Answer:
to prevent the government from abusing people's rights
Explanation:
Bill of rights is made up of the first ten amendments to the United States Constitution.
The bill of right include Freedom of religion, speech, press, assembly and petition.
The Right to keep and bear arms in order to maintain a well regulated militia.
The Right to due process of law, freedom from self-incrimination, double jeopardy.
The purpose of this bill is to protect the rights of citizens against infringement from the government,public officials and private citizens.
In example 18. 4 of the text, the deflection angle of the laser beam as it exits the prism is 22. 6º. If the prism had been made of glass instead of polystyrene plastic, what would the deflection angle have been?.
The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.
What is the deflection angle?
A deflection angle is an angle between the onward extension of the previous leg and the line ahead.
Here,
deflection angle as laser enters the beam, B = 22.6º
refraction index of glass, n1= 1.52
refraction index of polystyrene plastic, n2 = 1.59
for the second surface,
B = 45º - 22.6º
B = 22.40º
According to Snell's law:
n1 sinФ1 = n2 sinФ2
sin B / sinФ = n1 / n2
sinФ = (sin 22.40º) * ( 1/ 1.59)
Ф = 37.29º
Thus,
The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.
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Pyrite is a mineral which is made from iron and sulfur atoms. Choose all the statements that are correct.
Answer:
Imporant Information about Pyrite
Explanation:
Pyrite is a mineral, also called Iron Pyrite. Scientifically, it is called Iron Sulfide (Fe So2). It is also called as Fool's Gold, as its lustrous bale brass yellow texture make it resemble to gold. It is also one of the most abundantly available sulfide minerals.
A particle moves along line segments from the origin to the points (1, 0, 0), (1, 4, 1), (0, 4, 1), and back to the origin under the influence of the force field F(x, y, z) = z^2 i + 3xy j + 2y^2 k. Find the work done.
The work done by the force field F(x, y, z) = z^2 i + 3xy j + 2y^2 k as the particle moves along the given path is 33 units of work.
To find the work done by the force field, we need to evaluate the line integral of the force field along the given path. The line integral is calculated by integrating the dot product of the force field and the path's tangent vector.
The given path consists of line segments connecting the origin (0, 0, 0) to (1, 0, 0), then to (1, 4, 1), further to (0, 4, 1), and finally back to the origin.
We can split the path into three segments: segment 1 from (0, 0, 0) to (1, 0, 0), segment 2 from (1, 0, 0) to (1, 4, 1), and segment 3 from (1, 4, 1) to (0, 4, 1).
For each segment, we compute the dot product of the force field F(x, y, z) = z^2 i + 3xy j + 2y^2 k and the tangent vector of the respective segment. The tangent vector is the derivative of the position vector with respect to the parameter that describes the path.
Evaluating the line integral for each segment and summing the results, we find that the work done for segment 1 is 0, segment 2 is 17, and segment 3 is 16. The total work done is 0 + 17 + 16 = 33 units of work.
Therefore, the work done by the force field F(x, y, z) as the particle moves along the given path is 33 units of work.
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An ice skater is going into a spin. To simplify the system, the skater’s body (legs, torso, head) has a moment of inertia of 1.719kgm^2. Each hand-arm can be modeled as a point of mass of 5.0kg. At the beginning of the spin, the masses are rotating at 0.50m/s with their arms extended so that the center of mass of the hand-arm is 0.60m from the axis of rotation. For the finale, the skater pulls their arm inward so that the hand-arm is 0.20m from the axis of rotation. What is the angular velocity of the skater during the finale?
The angular velocity of the skater during the finale is 2.18 rad/s.
The conservation of angular momentum is a principle in physics that states that the total angular momentum of a system remains constant if no external torques act on the system. Mathematically, this can be expressed as L1 = L2, where L1 is the initial angular momentum of a system, L2 is the final angular momentum of the system, and the total torque acting on the system is zero. This principle is analogous to the conservation of linear momentum, which states that the total linear momentum of a system remains constant if no external forces act on the system. The conservation of angular momentum is an important principle in many areas of physics, including mechanics, electromagnetism, and quantum mechanics.
We can use the conservation of angular momentum to solve this problem. The initial angular momentum of the skater and the hand-arms is given by:
L1 = I1 * w1
where I1 is the moment of inertia of the skater's body, and w1 is the initial angular velocity. Since the hand-arms are extended, their moment of inertia can be neglected.
When the skater pulls their arms inward, the moment of inertia of the system decreases. The final moment of inertia is given by:
I2 = I1 + 2md^2
where m is the mass of each hand-arm, d is the distance of the hand-arm from the axis of rotation, and we multiply by 2 since there are two hand-arms.
The final angular velocity w2 can be found by equating the initial and final angular momentum:
L1 = I1 * w1 = I2 * w2
Substituting the expressions for I1, I2, and simplifying, we get:
w2 = w1 * I1 / (I1 + 2m(d2^2 - d1^2))
where d1 is the initial distance of the hand-arm from the axis of rotation (0.60 m), and d2 is the final distance of the hand-arm from the axis of rotation (0.20 m).
Substituting the given values, we get:
w2 = 0.50 m/s * 1.719 kgm^2 / (1.719 kgm^2 + 2 * 5.0 kg * (0.20 m^2 - 0.60 m^2))
w2 = 2.18 rad/s
Therefore, The skater's angular velocity during the grand finale is 2.18 rad/s.
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please convert it very very fast
Answer:
413.6
Explanation:
212 °C × 9/5 + 32 = 413.6 °F
a marble is shot horizontally from a table .8 m High, and it lands, 1.2 meters away horizontally. what was the initial velocity of the marble as it left the table
Answer:
3 m/s
Explanation:
First, find the time it takes to land.
Given in the y direction:
Δy = 0.8 m
v₀ = 0 m/s
a = 10 m/s²
Find: t
Δy = v₀ t + ½ at²
0.8 m = (0 m/s) t + ½ (10 m/s²) t²
t = 0.4 s
Next, find the velocity needed to travel 1.2 m in that time.
Given in the x direction:
Δx = 1.2 m
a = 0 m/s²
t = 0.4 s
Find: v₀
Δx = v₀ t + ½ at²
1.2 m = v₀ (0.4 s) + ½ (0 m/s²) (0.4 s)²
v₀ = 3 m/s
An airplane is flying at a constant speed along with a constant height of 3 km that will take it directly over an observer at ground level. At a given instant, the observer notes that the angle between him and the airplane is 3π and is increasing at 201 radians per second. Find the speed of the airplane, in km/hr. b. Continue as part (a), if the airplane comes towards the observer at a constant angular rate of change 201, what is the speed of the airplane when it is directly over the head of the observer? c. Is the airplane slowing down or speeding up as it approaches the observer? Justify your conclusion.
A- The speed of the airplane is approximately 201 km/hr.
b. The speed of the airplane when directly over the observer is approximately ∞ km/hr.
c. The airplane is slowing down as it approaches the observer.
a. To find the speed of the airplane:
dx/dt = (1 + tan²(θ)) * dθ/dt
At θ = 3π, tan(3π) = 0, so:
dx/dt = (1 + 0²) * 201
dx/dt = 201 km/hr
b. To find the speed of the airplane when directly over the observer:
dx/dt = (1 + tan²(θ)) * dθ/dt
Taking the limit as θ approaches π/2 from below:
lim(θ→π/2-) (1 + tan²(θ)) = ∞
So the speed of the airplane is approximately ∞ km/hr.
c. We can observe from the rate of change equation dx/dt = (1 + tan²(θ)) * dθ/dt that the speed of the airplane, dx/dt, is directly dependent on the rate of change of the angle, dθ/dt. In this case, the rate of change of the angle is given as 201 radians per second.
Since the rate of change of the angle, dθ/dt, is positive and constant, we can conclude that the speed of the airplane, dx/dt, will also be positive and constant. This means that the airplane is moving forward at a constant speed.
As the airplane approaches the observer, the angle θ decreases, which implies that tan(θ) also decreases. Since the speed of the airplane is directly proportional to (1 + tan²(θ)), which is decreasing as θ decreases, the speed of the airplane gradually decreases.
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Look at the diagram below. It shows a metal. Which of the particles in the metal, X or Y, is free to move and transfer energy?
Metals' complex structures account for their high melting and boiling temperatures as well as their conductivity. A metal's characteristics can be changed by adding another substance to it to create an alloy.
What metal possesses the maximum conductivity?Of all the metals, silver has the highest electrical conductivity. In actuality, silver is the standard by which conductivity in all other metals is measured. Silver ranks 100 on a scale of 0 to 100, followed by copper at 97 and gold at 76.
Why do metals conduct electricity?Due to the fact that the atoms in metals form a matrix through which outside electrons can easily travel, metals are efficient conductors of both electricity and heat. They produce a sea of electrons surrounding the positive nuclei of the interacting metal ions rather than orbiting their individual atoms.
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in which type of galaxy would you be most likely to find a stellar population most similar to that found in globular clusters? a. elliptical
b. Sb
c. Sa
d. Irr
e. SO
Elliptical galaxies contain populations of stars that are similar to those found in globular clusters.
Globular clusters are spherical collections of stars which orbit around the center of a galaxy. They contain tens to hundreds of thousands of old stars that are similar to each other.
The stellar population of globular clusters is mainly composed of old, low-mass stars.
Elliptical galaxies are believed to be formed from the merging of many smaller galaxies that have had their gas converted into stars. They have mostly old stars with little gas or dust.
Thus, elliptical galaxies contain populations of stars that are similar to those found in globular clusters.
The correct answer is: a. elliptical.
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a long solenoid has 50 turns per centimeter of wire carrying a current of 8a. the solenoid has a radius of 50 cm. find the flux passing through a circular coil of radius 6cm lying inside the solenoid with the plane of the coil (a) perpendicular to the magnetic field of the solenoid or (b) at an angle of 60 degrees to the magnetic field of the solenoid.
Electrical Flux: The magnetic flux is a measurement of the strength of the magnetic field that is transmitted to a region.
What is Magnetic flux?The magnetic field will be represent by B. It is 300. It is defined mathematically as the surface integral of the perpendicular magnetic field component that passes through a surface.
Magnetic flux is an electrical number that characterizes how the magnetic field moves through a section of the current carry coil. Weber is its unit of measurement.
A measurement of the total magnetic field that traverses a specific area is called magnetic flux. It is a helpful tool for explaining how the magnetic force affects things inhabiting a certain area.
Therefore, Electrical Flux: The magnetic flux is a measurement of the strength of the magnetic field that is transmitted to a region.
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A 2750 kg helicopter flies horizontally at constant speed. Air resistance creates a 7510 n backward force. What is the magnitude of the lift force created by the propellers
Answer:
Explanation:
Let lift force F be created by propellers at angle of Ф with the horizontal .
The vertical component of this force will balance the weight of helicopter and horizontal component will balance the air resistance .
F sinФ = mg = 2750 x 9.8 = 26950 N
F cosФ = 7510 N
Squaring and adding ,
F² = 26950² + 7510²
= 726302500 + 56400100
= 782702600
F = 27976.82 N .
when a mass m hangs from a vertical wire of length l, waves travel on this wire with a speed v.A. what will be the speed of these waves if we triple M without stretching the wire?
B. what will be the speed of these waves if we replace the wire with an identical one, except twice as long?
C. What will be the speed of these waves if we replace the wire with one of the same length, but two times as heavy
D. what will be the speed of these waves if we stretch the wire to thrice its original length
E. What will be the speed of these waves (in terms of V) if we increase M by a factor of 18.0, which stretches the wire to double its origina length?
A. The speed of the waves will remain unchanged if the mass is tripled without stretching the wire.
B. The speed of the waves will be halved if the wire is replaced with an identical one, except twice as long. This is because the waves will have to travel twice the distance in the same amount of time.
C. The speed of the waves will remain unchanged if the wire is replaced with one of the same lengths, but two times as heavy.
D. The speed of the waves will be halved if the wire is stretched to thrice its original length. This is because the waves will have to travel thrice the distance in the same amount of time.
E. The speed of the waves will be halved if the mass is increased by a factor of 18.0 and the wire is stretched to double its original length. This is because the waves will have to travel twice the distance in the same amount of time. The speed of the waves will thus be V/2.
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A chemist performs an experiment in which she compresses an air sample and then measures its pressure. She records her results in the following table:Volume (cm)³100.050.025.0Pressure (kPa)33.3 66.7 133.2 If the chemist continues to compress the air to a volume of 12.5 cm³, what will itspressure most likely be?A. 266.4 kPaB. 366.4 kPaC. 212.2 kPaD. 12.5 kPa
Apply Boyle's law:
P1 V1 = P2 V2 =P3 V3 = P4 V4
(33.3)(100) = P4 ( 12.5 )
3330 = 12.5 P4
3330/12.5 = P4
P4 = 266.4 kPA
Answer:
A. 266.4 kPa
Explain Speed ? ...
kindly don't copy from web ...
Explain answer in ur own words...
Answer:
The distance covered by an object per unit time is known as speed.
Answer:
Speed is known as the distance covered per unit time.It is a scalar quantity. Unit of speed is m/s.
It has only magnitude, direction is not specified.
An object is said to be in uniform speed or motion if it covers equal distance in equal intervals of time.
The formula to find speed is
\( \sf \frac{distance}{time} \\ \)
Suppose we take an example that distance is 100km and time is 5 hour
So speed will be
\( \frac{ { \cancel{100}} \: \: ^{20} }{ \cancel5} \\ \)
speed is 20 km/ hr.
Know more:If distance is in metre and time is in hour. Then you'll follow the formula and simplify. After simplifying, you'll multiply it by 18/5If it's given in km and other in m then after simplifying multiply it by 5/18 to get speed in km/hr.Formula to find distance = speed×timeFormula to find time=Distance/ speed\(\Large\textsf{Hope \: It \: Helped}\)
beyond the formation of iron, nuclear energy can be produced only by
Answer:
Beyond the formation of iron, nuclear energy can be produced only by fission of heavy nuclei back toward lighter ones
lipids:
made of mostly __ and _____ and also ____.
primary function is to _____.
Answer:
who gives you you this kind of work???
Explanation:
Chemical energy -
word equation
The chemical energy word equation is given as the sum of work done and heat loss or gain.
What is chemical energy?Chemical energy is the energy of chemical substances that is released when they undergo a chemical reaction and transform into other substances.
What is the equation for chemical energy?From the principle of conservation of energy which states that energy can neither be created nor destroyed but can be converted from one form to another.
E = w + q
where;
E is the total chemical energyw is work doneq is heat loss or gainThus, the chemical energy word equation is given as the sum of work done and heat loss or gain.
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The complete question is below:
What is chemical energy - word equation?
A 30 kg dog is running at 1 m/s and quickly comes to a stop when she sees her bone.
What is the work required for her to come to a complete stop?
The work required for the dog to come to a complete stop is -900 J (work = force x distance = (30 kg x 9.8 m/s^2) x (1 m))
What is the distance over which the force is applied?The distance over which the force is applied, in this case, would be the distance the dog travels as it slows down to a stop. This distance would depend on the initial velocity of the dog, the force applied to slow it down, and the amount of time it takes for the dog to come to a stop. In this case, the initial velocity is 1 m/s and the force applied is the opposite of the dog's weight, or -30 kg x 9.8 m/s^2. However, without information on the amount of time it takes for the dog to come to a stop or the deceleration of the dog, it is not possible to determine the exact distance over which the force is applied.
It is important to note that the distance over which force is applied is a scalar value and is independent of the direction of motion.
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which force below comes from an object receiving support. For example a book sitting on a table receives what force from the table?
carlos uses a rope to pull his car 30 m to a parking lot because it ran out of gas
9) During a game of bowling, which of the following describe the ball's motion?(SELECT ALL ANSWERS THAT APPLY)
A) The ball is accelerated while it is pushed by the student's hand due to an
unbalanced force.
B) The ball slows down as it rolls because friction exerts an unbalanced force.
C) The ball is accelerated while it is held in the student's hand due to balanced
Forces.
D) The ball does not change its motion as it rolls because of the balanced force
provided by friction.
E) The ball does not change its motion while it is held in the student's hand due to
balanced forces.
Answer:
A) The ball is accelerated while it is pushed by the student's hand due to an unbalanced force.
B) The ball slows down as it rolls because friction exerts an unbalanced force.
E) The ball does not change its motion while it is held in the student's hand due to balanced forces.
Explanation:
What happens to energy “lost” during an energy transformation? A. It turns into heat energy. B. It turns into kinetic energy. C. It turns into potential energy. D. It turns into kinetic energy and potential energy.
Answer:
I think it turns into heat (thermal) energy if I'm right
If an element's atomic mass and atomic number are known, what else can be determined? Give an example to demonstrate your understanding
Answer:
Explanation:
If an elements atomic mass and number are known you can also determine the number of protons and neutrons it has. You can also determine where it is on the periodic table. For example, if a element had a atomic mass of 10 then it would be higher up on the table then one with a mass of 20. Btw I do apex too.
Please help
Calculate the acceleration of a mobile that at 4s is 32m from the origin, knowing that its initial speed is 10m / s.
Answer:
5.5 m/s^2
Explanation:
I believe this is the answer > using the formula a= v-v0/t
Hope this helps!
Answer:
-1 m/s²
Explanation:
Given:
Δx = 32 m
v₀ = 10 m/s
t = 4 s
Find: a
Δx = v₀ t + ½ at²
32 m = (10 m/s) (4 s) + ½ a (4 s)²
a = -1 m/s²
Which injury stimulates muscle growth? critical injury microtrauma broken bone overuse injury
Answer: Microtrauma stimulates muscle growth!
Explanation - I hope that helped!