1) At exactly 12:00 noon, the oscillations will the pendulum have completed 2165 oscillations.
2) Its amplitude at noon is 88.3m.
What is an oscillation?The process of any quantity or measure repeatedly varying around its equilibrium value in time is referred to as oscillation. Another way to describe oscillation is as a periodic change in a substance's value between two values or around its midpoint.
1)The pendulum's period is the length of time it takes for one full revolution to occur.
Keep in mind that a pendulum's period is denoted by the following:
T = 2pi√(L/g)
Here, we know that L = 11.4m
The pendulum's period will then be:
T = 2×3.14×√(11.4m/9.8m/s²) = 6.28×√1.14
T = 6.28×1.06 = 6.65s
So one complete oscillation takes 6.65seconds.
We are aware that the pendulum swings at 8:00 am.
Four hours after the pendulum begins to swing, or 12:00 noon, is the time we're interested in.
So, we're interested in finding out how many full oscillations occur in a period of 4 hours.
It takes 6.65 seconds for each oscillation.
The product of the total time (4 hours) and the period will yield the total number of oscillations.
First, since 1 hour equals 3600 seconds, we must write both of these in the same units.
then,
4 hours = 4(3600 seconds) = 14,400 s
There were a total of: oscillations during that period,
N = 14,400s/6.65s = 2165.41
N = 2165
The pendulum does 2165 oscillations between 8:00 am and 12:00 noon.
2) Amplitude x(t) = A exp (-bt/2m)
x(t) = 1.7 exp (0.010(4(3600/1)))/2(110)
x(t) = 0883(10⁻²)/1
x(t) = 88.3m.
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When a honeybee flies through the air it develops a charge of +20pC. How many electrons did it lose in the process of acquiring this charge? Express answer as a number
When a honeybee flies through the air it develops a charge of +20pC, the electrons lost during the process of acquiring this charge is 1.25×10⁸ electrons.
How are protons and electrons calculated?Use an atom's atomic number and mass number to determine how many subatomic particles are present in it: Atomic number = number of protons. Atomic number = number of electrons. Mass minus atomic number equals the quantity of neutrons.
The honeybee's charge
Q = 20 pC = 20 × 10⁻¹² C
The current equation for the number of electrons is
n = Q/e
Where;
e is charge on electron = 1.6 × 10⁻⁻¹⁹ C
n = (20 × 10⁻¹²)/(1.6 × 10⁻¹⁹)
n = 1.25×10⁸ electrons.
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A)Find the net electric flux passing through the surface S1.
B) Find the net electric flux passing through the surface S2.
C) Find the net electric flux passing through the surface S3.
D) Find the net electric flux passing through the surface S4.
E) Find the net electric flux passing through the surface S5.
gh the surface S1.
B) Find the net electric flux passing through the surface S2.
C) Find the net electric flux passing through the surface S3.
D) Find the net el
Using Gauss Law, the flux through a surface, \phi = charge enclosed inside the surface/ \epsilono. So, for surface S2 net electric flux is 2.25*10^5 Wb.
for surface s2 - phi = (q1 + q2 - q5)/(8.854*10^-12) = (4.6+10 - 8)*10^-6/(8.854*10^-12) = 7.45*10^5 Wbc). flux = (q2+q3 -q6)/(8.854*10^-12) = ( 10 + 1 - 9)*10^-6/(8.854*10^-12) = 2.25*10^5 Wb
d)flux = (q4-q5)/(8.854*10^-12) = (8-8)/(8.854*10^-12) = 0
e) flux = (q1+q2+q3+q4 - q5 - q6)/(8.854*10^-12) = (4.6 + 10 + 1 + 8 - 8 - 9)*10^-6/(8.854*10^-12) = 7.45*10^5 Wb. Gauss's Law is a fundamental principle in physics, particularly in the study of electromagnetism. It states that the total electric flux through a closed surface is equal to the electric charge enclosed within the surface, divided by the permittivity of free space. Mathematically, it can be written as: Φ = ∫ E . dA = Q/ε. Where Φ is the electric flux, E is the electric field, dA is an infinitesimal surface element, Q is the total electric charge enclosed within the surface, and ε is the permittivity of free space.
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impulse: a golf ball of mass 0.050 kg is at rest on the tee. just after being struck, it has a velocity of 102 m/s. if the club and ball were in contact for 0.81 ms, what is the average force exerted on the ball by the club?
The average force exerted on the ball by the club is 6296.3 N.
What is force?Force is characterised as an external cause that, when applied, alters or has the potential to alter a body's state. The body comes to rest when it is in motion, and it goes into motion when it is at rest. The body's direction, shape, size, etc. may also change as a result of it.
An illustration would be to push or forcefully push a door. Force has both a magnitude and a direction because it is a vector quantity. Force is described as the "product of a body's mass and acceleration" in Newton's second law.
we know that
FΔt = impulse = change in momentum = mv
Average force exerted = mv/t
F(avg) = 0.05 × 102/(0.81×10⁻³)
= 6296.3 N
Thus, The average force exerted on the ball by the club is 6296.3 N.
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the speed limit on some interstate highways is roughly 135 km/h. (for each answer, enter a number.) (a) what is this in meters per second? m/s (b) how
Some interstate routes have a 120 km/h speed limit. In how many meters per second is this? ... two - thirds ( 65 meters per second is approximately what 120 km/h is.
What does physics mean by speed?
In physics, speed is a scalar, which means it has just magnitude. It outlines the amount of time needed to travel between two points. How does physics determine speed In order to calculate speed in mathematics, you must divide total distance between two points by the amount of time it takes to get there.
What's the secret to speed?
Speed Formula 1 s stands for speed in m.s.-1, d for distance in m, and t for duration in s.
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12 kg of mercury is poured into a glass u-tube with inner diameter of 1.0 cm the mercury can flow without friction within the tube the density of mercury is 13.6 find the period of small oscilatins
The period of small oscillation 12 kg of mercury that poured into a glass tube u with an inside diameter of 1.0 cm mercury can flow without friction in the tube. (The density of mercury is 13.6 x 10³ kg/m³) = 4.61 s
The mercury column's unbalanced weight of 2x is what provides the restoring force when the mercury is moved x meters from its equilibrium location in the right arm.
Weight = v x ρ x g
= (2πr²) x (13.6 x 10³) x (12 x 10⁻⁶ m³)
= 1.13 x 10³ kg/m³
Since Hooke's rule is true and the restoring force = - (2r2 g) x, we can see that the system's effective spring constant is:
k = (2πr²) (ρ) (g)
= 2π (0.005)² (13.6 x 10³) (9.8)
= 20.92 N/m
So, the period:
T = 2π[tex]\sqrt{\frac{m}{k} }[/tex]
= 2π [tex]\sqrt{\frac{1.13(10^{3} )}{20.92} }[/tex]
= 4.61 s
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the mass of planet w is 1/100 that of earth and its radius is 1/4 that of earth. if the weight of an object is 600 n on earth, what would it weigh on planet w? group of answer choices 96 n 48 n 24 n 600 n 192 n
A human would weigh w = 96 N on the fictitious planet. The hypothetical planet has a mass of M/100. The hypothetical planet has a radius of R/4. W = 600 N is the weight of an individual on earth.
What is the best definition of mass?a way to gauge the amount of material that is present in or makes up a physical body. The mass of an object is important to Newton's equations of motion in classical mechanics because it affects the force required to accelerate it and, subsequently, how much inertia it has.
What distinguishes mass from weight?Between mass and weight, there is Weight is a measure of force, whereas mass is a measure of inertia.t).
F = GMm/R² ( m - mass of the person)
mg = GMm/R²
f = w= 16GMm/100R²
=16/100×(mg)
=16/100×(600)
w= 96N
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q2. initially, a car of mass 400 kg traveling with a speed of 72 kmph accidentally crashes into a car of mass 4000 kg. before the collision, the truck was traveling at a speed of 9 kmph, in the same direction as that of the car. as a result of the collision, the car retorts back with a speed of 18 kmph. calculate the velocity with which the truck is moving after the collision.
The velocity of the truck after the collision is 5.6 kmph.
What is velocity?The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.
The velocity of the truck after the collision can be calculated using the conservation of momentum principle. The principle states that the total momentum of an isolated system remains constant if no external forces act on it.
Momentum is calculated as mass * velocity (p = m * v)
Before the collision, the momentum of the car is m1 * v1 = 400 kg * 72 kmph = 28800 kgkmph
and the momentum of the truck is m2 * v2 = 4000 kg * 9 kmph = 36000 kgkmph
After the collision, the momentum of the car is m1 * v'1 = 400 kg * 18 kmph = 7200 kg*kmph
Now we use the principle of conservation of momentum to find the velocity of the truck after collision.
momentum before collision = momentum after collision
m1 * v1 + m2 * v2 = m1 * v'1 + m2 * v'2
28800 + 36000 = 7200 + m2 * v'2
64800 = 7200 + m2 * v'2
v'2 = (64800 - 7200) / 4000 = 5.6 kmph
Therefore, the velocity of the truck after the collision is 5.6 kmph.
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an adult helping her child learn to ride a bike, applies a net force of 6.17 newtons to the child on the bike for 4.00 seconds. how much momentum does the child and his bike gain after being pushed by the adult in kilogram-meters per second? round your final answer to two decimal places.
After being pushed by an adult, the child and his bike develop momentum at a rate of 24.68 Kg-m/s.
Describe momentum.momentum is the result of a particle's mass and velocity. Being a vector field, momentum includes both magnitude and the direction. As per Isaac Newton's second equation of motion, the force applied on the a particle is equal to the time change in momentum.
the solution is
given Net force F= 6.17 N
time t= 4.00 s
from Formula
Momentum = force × time
Momentum = 6.17 × 4 Kg-m/s
Momentum= 24.68 Kg-m/s
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Item 15 Water flowing in a horizontal pipe speeds up as it goes from a section with a large diameter to a section with a small diameter. Which of the following can explain why the speed of the water increases
Water flowing in a horizontal pipe speeds up it goes from a large-diameter section to a small-diameter section the speed of the water increases due to work is done because the water in the larger pipe has a higher pressure.
What happens to the flow rate of fluid when it moves from a wide pipe to a narrow pipe?When the pipe enters a narrower area, the fluid moves more quickly; when it enters a wider area, it moves more slowly. The volumetric flow rate, also known as current, and fluid velocity both refer to the speed at which a fluid moves, but they describe different aspects of the fluid differently.
In order to keep their volume flow rate constant when they enter a small, constricted space, incompressible fluids must accelerate. This is the reason why a narrow hose nozzle makes water move more quickly.
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Because more work must be done to overcome the greater pressure of the water in the larger pipe when it moves from a section of a horizontal pipe with a large diameter to one with a smaller diameter, the speed of the water increases.
What happens to the flow rate when a fluid is moved from a wide pipe to a narrow pipe?In the pipe, the fluid moves more quickly through the narrower sections and more slowly through the wider ones. Although they both relate to the rate at which a fluid moves, fluid velocity and the volumetric flow rate, also known as current, characterize the fluid in different ways.
When entering a small, limited area, incompressible fluids must accelerate in order to maintain a constant volume flow rate. This is the basis behind the thin hose nozzle's ability to speed up water flow.
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The complete question is " Water flowing in a horizontal pipe speeds up as it goes from a section with a large diameter to a section with a small diameter. Which of the following can explain why the speed of the water increases? "
suppose the mass of a fully loaded module in which astronauts take off from the moon is 13,800 kg. the thrust of its engines is 28,500 n. (assume that the gravitational acceleration on the moon is 1.67 m/s2.) (a) calculate (in m/s2) its magnitude of acceleration in a vertical takeoff from the moon. (enter a number.)
The rocket will shoot from the moon at a velocity of 0.39 m/s, in accordance with the question.
What is a massive example?The mass of matter that makes up every item or body is the simplest way to understand mass. Every that we can see has mass.
F=ma
First Law of Motion (remember this equation)
28500 = 13800 * a
(Kg is the measurement of mass, while N is a measure of force.)
calculate a
In empty space, the velocity would be at a = 2.06 m/s2, but the moon is pulling it down.
We deduct it from acceleration because downward motion is the direction in which the item is traveling.
2.06-1.67 = 0.39
Consequently, the rocket will ascend at 0.39 m/s.
An object of mass M = 1.00 kg is attached to a spring with spring constant k = 99.0 N/m whose unstretched length is L = 0.140 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 3.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 3.00 radians/s as shown. (Figure 1) When solving this problem use an inertial coordinate system, as drawn here. (Figure 2)
Assume that, at a certain angular speed ω2, the radius R becomes twice L. Find ω2.
Express your answer in radians per second.
The equation that relates the angular speed ω2 to the spring constant k, the mass M, and the unscratched length L is given by:
ω2 = sqrt(k/M)*2L
What is spring constant ?
The spring constant, also known as the rate or stiffness of the spring, is a measure of the force required to compress or extend a spring by a certain distance. It is defined as the change in force per unit change in length of the spring. The spring constant is usually denoted by the letter k and has units of force per unit length (such as N/m or lbf/in). A spring with a large spring constant will require more force to compress or extend it than one with a smaller spring constant.
Therefore, the angular speed ω2 at which the radius R becomes twice L can be calculated as follows:
ω2 = sqrt(99 N/m / 1.00 kg) * 2 * 0.140 m
ω2 = 19.67 radians/s
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A woman and her motorbike together have a mass of 220 kg. The bike accelerates at 5 m/s². What is the force from the motorbike's engine?
The force from the motorbike's engine is equal to the mass multiplied by the acceleration, or 220 kg x 5 m/s² = 1,100 N.
What is mass ?
Mass is the amount of matter or material in an object. It is measured in kilograms (kg) or pounds (lbs). Mass is different from weight, which is the measure of the force of gravity on an object. Mass is a property of an object that is independent of its location in space, whereas weight is a measure of the force of gravity on an object and therefore is dependent on its location.
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I need help with 16 and 17! Pls show your work and use these formula for both: m1v1+m2v2=(m1+m2)vf
The mass of the skateboard by conservation of momentum will be 2.84 kg.
In physics, what is momentum?Momentum can be defined as the force behind a body's motion.
Momentum is measured by "mass velocity" since it depends on both the speed and the direction of the body's motion. Since velocity is a vector and mass is a scalar, momentum is a vector quantity.
skateboard mass is 2.84 kg.
m1 = student mass = 45.5 kg
m2= skateboard Mass
u = student Velocity = 4.25 m/s
v = student and skateboard velocity = 4 m/s
As momentum is conserved we have
m1*u=m1*v+m2*v
m2=(m1u-m1v)/v
m2=(45.5*4.25-45.5*4)/4
m2=2.84 kg
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what is always the same no matter how much of the substance you have
The density of the matter is always remains same no matter how much of the substance you have.
How can density be explained?The measure of how densely a material is compacted together is called density. As the mass per unit volume, it has that description. Symbol for density: D or Formula for Density: Where is indeed the density, m is the object's mass, and V is its volume, the equation is: = m/V.
What qualities does density have?A substance's distinguishing quality is its density. The relationship between a substance's mass and the volume of space it covers is known as its density (volume). The density of a substance is governed by the mass, size, and organization of its atoms.
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A container of volume 0.4 m3 contains 3 mol of argon gas at 300C. Assuming argon behaves as an ideal gas, find the total internal energy of the gas?
11223.9J or 11.2239 kJ is the total internal energy of the gas.
What is internal energy?Internal energy, which results from the motion of matter at the molecular level, is a type of energy that exists in all systems. For internal energy, the letter U is used, and the joule is the unit of measurement (J).
As a substance changes from one state or phase to another—from solid to liquid to gas—its internal energy also rises. It is possible to imagine planetary bodies as a fusion of heat engines and heat reservoirs.
The heat engines transform some of the thermal energy stored in the heat reservoirs into different forms of mechanical, electrical, and chemical energy.
The formula for total internal energy of gas is
(3/2)nRT
where n = amount of substance
R = Ideal gas constant
T = temperature
Put the value in the equation
(3/2)nRT
= (3/2)(3)( 8.314)(300)
= 11223.9J
Thus, 11223.9J or 11.2239 kJ is the total total internal energy of the gas.
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what is the speed of the waves on the string what is the longest possible wavelength for a standing wave give the frequency of that wave
The wave speed on the string is 82.0m/s. The maximum wavelength for a standing wave is 16.8 m. That wave's frequency is 4.88Hz.
(a) V=[tex]\sqrt{\frac{T}{\mu} } =\sqrt{\frac{96}{\frac{0.12}{8.4} } }[/tex] = 82 m/sec
(b) for the lowest possible wavelength,
λ/2=l
λ=2l=2×8.4=16.8m
(c) V=fλ=v/λ=82/16.8=4.38Hz
the separation between the corresponding points of two successive waves is known as the wavelength. Two points or particles that are "corresponding points" are those that have finished the same fractions of their periodic motion and are in the same phase. Ordinarily, the wavelength of transverse waves—those with points vibrating perpendicular to the direction of their advance—is calculated from crest to crest or from trough to trough; for longitudinal waves—those with points vibrating parallel to the direction of their advance—the wavelength is calculated from compression to compression or from rarefaction to rarefaction. The Greek letter lambda () is commonly used to represent a wave's length. Wavelength is defined as the product of the speed (v) and frequency (f) of a wave train in a given medium.
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in which case does the wall exert a greater force on the ball: when it hits the wall and bounces back at the same speed or when it hits and sticks to the wall? assume the time intervals over which the force is exerted are the same in both cases.
The wall exerts a greater force on the ball when it hits and sticks to the wall. This is because in this case, the wall is exerting a static force on the ball, while in the other case, the wall is exerting a dynamic force on the ball as it rebounds.
what is force ?
Force is a physical quantity that can be described as an action or influence that causes a change in an object's motion, direction, shape, or energy. It can be measured in terms of energy per unit of time, or momentum per unit of time. Force can be applied to an object by another object, and can also be applied by a person.
Force can be exerted by an object when it is acted upon by another object, such as when a person pushes a door open. Force can also be exerted by a person, such as when a person kicks a ball. Force can be either attractive or repulsive, and can cause objects to move, stop, or accelerate. Forces can be caused by contact between two objects, or by the application of a field of force, such as gravity or electrostatic forces.
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if you wish to store a large amount of energy in a capacitor bank, would you connect capacitors in series or parallel? explain.
It implies that as the capacitance value increases, so will the quantity of the energy. Therefore, the capacitors should be connected together in parallel in order to store more power in a capacitor bank.
What are the uses of a capacitor bank?Capacitors are used in the distribution of electric power to rectify power factor. These banks are required to offset inductive loading caused by components like electric motors & transmission lines, which causes the load to seem to be primarily resistive.
Where are the banks of capacitors?banks of distribution capacitors. Distribution capacitors are put in place at substations, on the poles, or adjacent to the load. Even though these capacitors units serve the local demand with reactive power, they might not be able to lower feeder & transformer losses.
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based on the velocity change of each object, what did you infer about the direction of forces during a collision?
The direction of forces during a collision can be inferred grounded on the haste change of each object. The forces acting on the objects are equal in magnitude and contrary in direction in elastic collision. But on the other hand, the forces acting on the objects aren't equal in magnitude in inelastic collision and the direction of the forces is also towards the centre of mass.
What do you mean by collision?Collision means two objects coming into touch with each other for a veritably short period. It's a repaying commerce between two millions for a veritably short interval wherein the instigation and energy of the colliding millions change.
What's the difference between elastic andnon-elastic collision?A impeccably elastic collision is defined as a collision in which there's no loss of kinetic energy. An inelastic collision is one in which kinetic energy is changed to some other form of energy in the collision.
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how does the ma of a 6-m ramp compare with the ma of a 4-m ramp if both are used to load crates onto trucks that have cargo areas that are 1 m off the ground?
The 6 m ramp has greater mechanical advantage than 4 m ramp.
What is the velocity ratio of the ramp?
The velocity ratio of a ramp or inclined system is determined from the ratio of the distance travelled by the effort to the distance travelled by the load.
Mathematically, the formula for velocity ratio of the ramp is given as;
V.E = dE / dL
V.R = 1 / sinθ
where;
dE is the distance travelled by the effortdL is the distance travelled by the loadThe mechanical advantage of the ramp is calculated by the following formula.
M.A ∝ V.R
where;
θ is the angle between the foot of the ramp and horizontalsinθ = dE / dL
The mechanical advantage of the
For a ramp of 6m,
M.A = 1 / sinθ = 1 / ( 1 m / 6 m) = 6
For a ramp of 4 m,
M.A = 1 / sinθ = 1 / ( 1 m / 4 m ) = 4
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The sled is slowing down at a steady rate and has an acceleration to the right. Which force would account for this motion?
The reason the sled is slowing down steadily and accelerating to the right is due to a continuous force that is operating in that direction.
According to Newton's first law, unless pushed to alter its condition by the operation of an external force, every object will continue to be at rest or in uniform motion along a straight line.
As stated above, if a body is moving faster than it is going, then there must be a force acting in the same direction as the sled. Only then can the sled experience constant acceleration and descend at a constant pace.
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Which of the waves below..
A) Has the highest frequency?
B) Has the highest amplitude?
C) Is the quietist?
D) Is the lowest pitch?
Answer:
a.) C.
b.)b.
c.)E.
d.)A.
a person accumulates a net charge of -42 microcoulombs. how many excess electrons does she get, and by how much does her mass increase?
The excess electrons does she get is 2.625 10^ 14 and her mass increase is 2.388 x 10^-16 Kg.
How does accumulated charge work?A new experimental method called accumulated charge measurement (ACM) uses a metal-insulator-semiconductor-metal (MISM) capacitor to assess the charge injection barrier at the semiconductor-metal interface.
Number electron => charge / charge of electron
=> -42 mc/-1.6 x 10^-19
=> 2.625 10^ 14 excess electron
Mass of her = mass of 1 electron x excess electron
9.1 x 10^-31 kg x 2.625 x 10^14
=> 2.388 x 10^-16 Kg
My body is tremendously energised, why?For instance, if there are too many electrons in our bodies, they will escape as soon as we come into contact with a positively charged object, trapping us. We are so electrically charged during this process that breaking down air molecules even when we are only an inch away results in a violent shock.
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if you double the force on an object but the distance remains the same, how much work is done on that object?
If you apply twice as much force to an item while keeping the distance the same, the quantity of effort is allegedly doubled.
What in science is a force?In science, the word "force" has a particular definition. Considering a forces a pull or just a pull is perfectly suitable at this level. Charges are not components that an object "would have in it" or "contains." A force is applied to one item by another.
Why do forces happen?Forces are generated by contacts between two or more objects. There is an equal and conflicting force acting on each individual on the other. External forces are what cause the item to move. This force has really no impact on the object's overall motion.
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As an orange falls vertically downward, its momentum changes by 2. 4 kg x m/s per second.
a) What is the weight of the orange?
b) How much time does it take for the orange's momentum to change by 6. 1 kg x m/s?
A) The weight of the orange is 2.4N and B) It takes 1.542s for the orange's momentum to change by 6. 1 kg·m/s.
What is weight?Weight is the measure of the force of gravity on an object. It is a measure of the amount of matter present in an object and is measured in units such as kilograms, pounds, or ounces. Weight is the same no matter where an object is located, as gravity is a universal force. Weight is different than mass, which is the amount of matter in an object regardless of gravity. Mass is measured in kilograms, grams, or other metric units. Weight can be calculated by multiplying an object's mass by the acceleration due to gravity.
(a)
The rate of change of the momentum of any object is equal to the force acting on the object.
The orange is free falling so the force acting on the orange will be equal to to weight of the orange.
Then, the weight of the orange is 2.4N.
(b)
Given the initial momentum is 2.4 kg·m/s2
Calculate the time required for the oranges momentum to change by 6.1 kg·m/s,
W × t
= final momentum - initial momentum
= 6.1 - 2.4(t)
= 1.542s
Thus, The weight of the orange is 2.4N and It takes 1.542s for the orange's momentum to change by 6. 1 kg·m/s.
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A red cart mass = 2kg and a blue cart mass = 2 kg are ELASTICALLY crashed into each other at the indicated velocities and bounce. After the collision which cart will have the SMALLEST speed.
After the collision the cart with the SMALLEST speed is the cart with the GREATEST initial speed.
What is the principle of conservation of linear momentum?
The principle of conservation of linear momentum states that in an Isolated system, the total momentum of the system is conserved.
Mathematically, the formula for conservation of linear momentum is given as;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where;
m₁ is the mass of the red cart
m₂ is the mass of the blue cartu₁ is the initial velocity of the red cartu₂ is the initial velocity of the blue cartv₁ is the final velocity of the red cartv₂ is the final velocity of the blue cartThe final speed of each cart is calculated as;
v₁ = [ m₁u₁ + m₂u₂ - m₂v₂ ] / m₁
v₂ = [ m₁u₁ + m₂u₂ - m₁v₁ ] / m₂
since m₁ = m₂, our new equation becomes;
v₁ = u₁ + u₂ - v₂
v₂ = u₁ + u₂ - v₁
Thus, the cart with the least initial speed, will have the greatest final speed and vice versa.
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The acceleration due to gravity on the Moon is gM. Suppose an astronaut on the Moon drops an object from a height of H. The time it would take the object to reach the Moon’s surface would be TM. The same object is dropped from the same height on Earth, where the acceleration due to gravity is gE. The time it takes the object to reach the Earth’s surface is TE. Which of the following is a correct mathematical relationship for the two times?A. TE = √gE/gM . TM B. TE = √gM/gE . TMC. TE = gE/gM . TM D. TE = gM/gE . TM E. TE = TM
The correct mathematical relationship for the two times is Option B: TE = √gM/gE . TM.
What is gravity?Gravity is a natural phenomenon that causes objects with mass to be attracted to one another. It is one of the four fundamental forces in nature and is responsible for the formation and structure of galaxies, stars, and planets. Gravity is experienced as a force pulling objects towards each other. The strength of gravity depends on the distance between two objects, as well as their masses.
This is because the acceleration due to gravity is inversely proportional to the time taken for an object to fall. The equation for this is:
Time = √2*Distance/Acceleration.
Therefore, if we substitute the values for the Moon and Earth in this equation, we get:
TE = √gM/gE . TM
where gM and gE are the accelerations due to gravity on the Moon and Earth, respectively, and TM and TE are the times taken for the object to reach the Moon's and Earth's surfaces, respectively.
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12
4bit) a kettle is rated at 1200w,
the resistance of the heating element is 11.5 ohms.
show, using your working out that the current flowing through the heating element is about
10a
(3 points
The current flowing through the heating element is about 104.35A.
What is Ohm's Law?Ohm's Law states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R).
I = V / R
We know the resistance of the heating element is 11.5 ohms. We can use the power rating of the kettle, which is 1200W, to calculate the voltage. Power is equal to voltage multiplied by current, so we can use this equation to find the voltage:
P = V * I
V = P / I
We can substitute the known values into this equation:
V = 1200 / I
Now we can use Ohm's Law to find the current:
I = V / R
Substituting the values we know:
I = (1200 / I) / 11.5
Solving for I, we get:
I = 104.35A
The current flowing through the heating element is about 104.35A.
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A proton and an alpha particle are momentarily at
rest at a distance y from each other. They then
begin to move apart. Find the speed of the proton
by the time the distance between the proton and
the alpha particle doubles.
Both particles are positively charged. The charge
and the mass of the proton are, respectively, e and
m. The charge and the mass of the alpha particle
are, respectively, 2e and 4m.
Find the speed of the proton (Ur )p by the time the distance between the particles doubles. Express your answer in terms of some or all of the quantities e, m, r, and ε
A proton and an alpha particle are momentarily at
rest at a distance y from each other. They then
begin to move ap
the speed of the proton (Ur )p by the time the distance between the particles doubles is (e / (m * y)) * √(2/πε)
The speed of the proton can be found by using the conservation of mechanical energy. The initial potential energy between the proton and the alpha particle is given by: Ui = (1/4πε) * (2e * e)/y. As the distance between the particles doubles, the final potential energy is given by: Uf = (1/4πε) * (2e * e)/(2y) Using the conservation of mechanical energy, we can write:Ui + Ki = Uf + Kf Where Ki is the initial kinetic energy and Kf is the final kinetic energy. Since the particles are momentarily at rest, Ki = 0. Also, Kf = (1/2) * m * Ur^2. where Ur is the speed of the proton. We can substitute these values into the equation for the conservation of mechanical energy:(1/4πε) * (2e * e)/y = (1/2) * m * Ur^2 + (1/4πε) * (2e * e)/(2y) Solving for Ur, we get: Ur = (e / (m * y)) * √(2/πε). This is the final velocity of the proton when the distance between the proton and the alpha particle doubles.
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the speed of individual particle diffusion is influenced by temperature and particle size, not by concentration. the speed of individual particle diffusion is influenced by temperature and particle size, not by concentration. true false
True, the speed of individual particle diffusion is influenced by temperature and particle size, not by concentration.
Prolixity is the tendency of motes to spread out in order to enthrall an available space. feasts and motes in a liquid have a tendency to diffuse from a more concentrated terrain to a lower concentrated terrain. Passive transport is the prolixity of substances across a membrane. This is a robotic process and cellular energy isn't expended. motes will move from where a substance is more concentrated to where it's less concentrated. The rate of prolixity for different substances is affected by membrane permeability.
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