A particle of mass moves under a force given bywhere and are unit vectors in the and directions. The particle is placed at the origin with an initial velocity After how much time will the particle first return to the origin

Answers

Answer 1

The elapsed time when the particle returns to the origin is determined from the ratio of initial velocity and acceleration of the particle.

Time of motion of the particle

The time of motion of the particle is calculated by applying Newton's second law of motion.

F = ma

F = m(v)/t

where;

t is time of motion of the particlem is mass of the particlev is velocity of the particle

a = v - u/t

v = u + at

when the particle returns to the origin, direction of u, = negative.

final velocity = 0

0 = -u + at

at = u

t = u/a

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Related Questions

A periodic wave travels from one medium to another. which pair of variables are likely to change in the process?

Answers

velocity and wavelength are likely to change in the process

When a wave travels from one medium to another it undergoes a change in direction and this is referred to as refraction.Refraction is the bending of a wave or a change in direction of a wave as it travels from one medium to another. Refraction is accompanied by change in velocity and wavelength of a wave

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If the current in each wire is the same, which wire produces the strongest magnetic field?.

Answers

We need the Answer options?
The magnetic field is strongest in the area closest to the wire

What is the crosswind component for a landing on runway 18 if the tower reports the wind as 220° at 30 knots?

Answers

From the head wind component charts,  the crosswind component for a landing on runway 18 is 19 knots.

What is crosswind component?

When winds are not parallel to or directly with  the line of travel, the wind is said to have a crosswind component.

From the head wind component charts, at 220° at 30 knots, the corresponding crosswind component is 19 knots.

Thus, from the head wind component charts,  the crosswind component for a landing on runway 18 is 19 knots.

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The data table shows how the amplitude of a mechanical wave varies with the energy it carries. Analyze the data to identify the mathematical relationship between amplitude and energy. Use your equation to find the energy if the amplitude is 6 units. Amplitude Energy 1 unit 2 units 2 units 8 units 3 units 18 units 4 units 32 units A. 66 units B. 60 units C. 72 units D. 74 units​

Answers

The energy of a wave is directly proportional to the square of the amplitude of the wave.

What is the relationship between energy and amplitude?

There is direct relationship between energy of the wave and the amplitude of the wave. The energy transported by a wave is directly proportional to the square of the amplitude of the wave. This means if energy is increase the amplitude of wave becomes double and vice versa.

Energy = (amplitude)2

So we can conclude that the energy of a wave is directly proportional to the square of the amplitude of the wave.

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[tex]Energy = (amplitude)^{2}[/tex]

What is energy and amplitude?

Energy is define as the capacity for doing work.

Amplitude is the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.

So , the relationship between energy of the wave and the amplitude of the wave is described as the energy transported by a wave is directly proportional to the square of the amplitude of the wave.

Here , If energy is increase the amplitude of wave becomes double.

[tex]Energy = (amplitude)^{2}[/tex]

Hence , the energy of a wave is directly proportional to the square of the amplitude of the wave.

By using the above equation if the amplitude is 6 Units then :

Energy = [tex](6)^{2}[/tex] = 36 units

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Which best compares convex and concave mirrors?

Answers

Answer:

Convex mirrors produce only virtual images, and concave mirrors produce real and virtual images

Answer:

covex Miros produce different thing like micronizamm and other things

Ramu,the gardener,is trying to pull out weeds. however,he has to apply great force.why do you think he has to apply to much force?

Answers

Answer:

Roots are basically hooked into the ground?

Explanation:

Maybe you could comment here the choices if it's multiple choice.

Emissions from alpha decay require the least amount of shielding.

Which best describes why the emissions from alpha decay are so easily blocked compared to the emissions of other types of radioactive decay?

Answers

The particles released during alpha decay are called alpha particles. Alpha particles have greater mass and charge than other emitted particles.

Radioactive emissions are the transfer of energy through the flow of particles or waves in a mediumThere are 3 types of radioactive emissions which are alpha, beta and gammaIn alpha radiation, the nucleus emits an alpha particle which is equivalent to a helium nucleusIn beta radiation, an electron is emitted to convert a neutron to a protonIn gamma radiation, the nucleus just loses energy

Since alpha particles have more mass and charge, they are more ionising and lose more energy at a faster rate and can be blocked easily.

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define reference point

Answers

Answer:

A reference point is a place or object used for comparison to determine if something is in motion. An object is in motion if it changes position relative to a reference point.

Hope this helps:)

the north end of a compass points towards ​

Answers

Opposite attract , this is the magnetic south pole

option (b)

Answer:

B

Explanation:

Opposites attract......so the end of the needle pointing to the North Pole is the South pole of the magnetic needle.

Calculate magnetic field strength current 3a flows in wire 2.5m and produces a force 15n

Answers

The magnetic field strength willl be 2 T. A force known as the Lorentz force acts on the charge when it is subject to an electric and magnetic field.

What is Lorentz force?

Lorentz force is defined as the force acting on point charge when it is moving in an electric and magnetic field.

The given data in the problem is ;

B is the magnetic field strength =? T.

Current, I =?

L is the length of the wire

The magnetic force is found as;

F= BIL

15 N  = B × 3 A ×  2.5 m

B = 2 T

Hence, the magnetic field strength willl be 2 T.

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Why is it important to have a closed circuit?

A. It prevents a circuit from working.
B. It prevents components from overheating.
C. It increases the resistance in the circuit.
D. It allows an electric current in the circuit.

Answers

D. It allows the flow of an electric current in the circuit.

Why is it important to have a closed circuit?

Closed circuit allows the flow of current in the circuit from the battery to the bulb. If the circuit is open then the current will not reach to the bulb or other appliances.

So we can conclude that It is important to have a closed circuit because it allows the flow of an electric current in the circuit.

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A force of 5N produces an acceleration of 8m/s2 on mass m1, and an acceleration of 24m/s2 on a mass m2. What acceleration would the same force provide if both the masses are tied together.

Answers

The acceleration that the same force will provide if both masses are tied together is; 6.0 m/s².

How to find the Acceleration?

We are given;

Force; F = 5 N

Acceleration of the first mass, a₁ = 8.0 m/s²

Acceleration of the second mass, a₂ = 24 m/s²

Formula for force is;

F = ma

Let us find both masses; m₁ and m₂.

m₁ = F/a₁

m₂ = F/a₂

Thus;

m₁ = 5/8 kg

m₂ = 5/24 kg

Total mass is; m = m₁ + m₂

m = 5/8 + 5/24

m = 15 + 5/24

m = 20/24 kg

Thus, acceleration if they are both tied together is;

a = F/m

a = 5/(20/24)

a = 6.0 m/s².

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Two skaters, a man and a woman, are standing on ice. Neglect any friction between the skate blades and the ice. The mass of the man is 89 kg, and the mass of the woman is 59 kg. The woman pushes on the man with a force of 46 N due east. Determine the acceleration (magnitude and direction) of (a) the man and (b) the woman

Answers

Answer:

Acceleration of this man: approximately [tex]0.52\; {\rm m\cdot s^{-1}}[/tex] due east.

Accelerate of this woman: approximately [tex]0.78\; {\rm m \cdot s^{-1}}[/tex] due west.

Explanation:

The question implies that the net force on the man is [tex]F = 46\; {\rm N}[/tex] due east. The mass of the man is [tex]m = 89 \; {\rm kg}[/tex]. The acceleration of the man would be:

[tex]\begin{aligned} a &= \frac{F}{m} \\ &= \frac{46\; {\rm N}}{89\; {\rm kg}} && \genfrac{}{}{0}{}{(\text{due east})}{} \\ &\approx 0.52\; {\rm m\cdot s^{-2}} && (\text{due east})\end{aligned}[/tex].

In other words, the acceleration of this man would be approximately [tex]0.52\; {\rm m \cdot s^{-2}}[/tex] due east (same direction as the net force.)

By Newton's Laws of Motion, for every force there is a reaction force that is equal in magnitude but opposite in direction.

The woman in this question is applying a due east [tex]46\; {\rm N}[/tex] force on the man. Thus, this woman would experience a reaction force of the same magnitude ([tex]46\; {\rm N}\![/tex]) and opposite direction (due west) from the man. Under assumptions of the question, the net force on the woman would be [tex]\! 46\; {\rm N}[/tex] due west.

The acceleration of this [tex]m = 59\; {\rm kg}[/tex] woman would be:

[tex]\begin{aligned} a &= \frac{F}{m} \\ &= \frac{46\; {\rm N}}{59\; {\rm kg}} && \genfrac{}{}{0}{}{(\text{due west})}{} \\ &\approx 0.78\; {\rm m\cdot s^{-2}} && (\text{due west})\end{aligned}[/tex].

A car is moving with constant velocity of 30m/s what is it's acceleration in 10s ​

Answers

Answer:

0 m/s²

Explanation:

Acceleration is defined as the rate of change of velocity:

[tex]acceleration = \frac{change \space\ in \space\ velocity}{time taken}[/tex] .

As the velocity is constant, change in velocity = 0.

∴ acceleration = 0/ 10

                        = 0 m/s²

When your hand presses
down on scissors, what is your
force called?
a. input force
b. output force
c. buoyant force

Answers

Answer:

INPUT force

Explanation:

You are putting force into a machine of levers to have the output of cutting something.

When your hand presses down on scissors, the force is called input force because are applying a force into an object. Thus, option a is correct.

What is force ?

Force is an external agent acting on a body to deform it or to change its state from rest or motion. There are various kinds of force such as magnetic force, nuclear force, gravitational force etc.

Force is a vector quantity thus, it is characterised by a magnitude and direction. According to second law of motion, the force acting on a body is the product of mass and acceleration.

Hence, the force acting on a body is directly proportional to the mass. Greater the mass, greater will be the force needed to accelerate the body. When we press down on an object we are applying an input force to the object.

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i will give you full point and mark you as brainiest if you help me please i need it sooner.​

Answers

The energy of the sun Is a response for the life on earth The planet might take a seat down withinside the liveable radius starting from 0. eighty-five AU to two AU.

Why large planets rotates faster?

The large the planet quicker will be the rotation speed, and therefore shortest the time to take rotate across the axis. The large planets are exceedingly greater solid whilst as compared to the small planet system.

The hazards are

• With improved size, the quantity of gravitational enchantment posed via way of means of the planet might additionally increase. This might cause attracting outer area asteroids and consequential crater impact.

• The large the size, the farther it'd be from the big name to atone for the hydrostatic balance, hence reducing the possibilities for it being an inhabitable area.

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You have found that the net force exerted on the cylinder depends on several different independent variables in different ways. how can you combine those separate dependencies into one equation relating the net force to the relevant independent variables

Answers

The net force on the cylinder depends on several independent variables such as mass, acceleration, velocity, time, etc, and it is given as F(net) = ma.

Net force exerted on the cylinder

The net force on the cylinder is calculated from Newton's second law of motion.

F(net) = ma

F(net) = m(v/t)

where;

m is mass of the cylindera is acceleration of the cylinderv is velocity of the cylindert is time of motion of the cylinder

Thus, the net force on the cylinder depends on several independent variables such as mass, acceleration, velocity, time, etc, and it is given as F(net) = ma.

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Where does the halo of a galaxy expand from?

a. the local group out to the dark matter

b. the bulge out to the edge of the disk

c. the irregular cluster out to the regular cluster

d. the edge of the disk out to the bulge

Answers

The halo of galaxy expand from the bulge out to the edge of the disk. The correct option is b.

What is universe?

Universe is the whole cosmic system of matter and energy. The Earth, the Sun, the Moon, the planets, the stars along with the ,dust , gases, rocks forms the universe.

It went on expanding and stretched to grow as large as possible. It is still now expanding.

The universe consist of fully dark matter, interstellar gases or dust. The  This universe began with a big bang , also known as the massive explosion. This universe is still on it way of expanding more.

The formation of stellar halos occurs naturally in a cold dark matter. Universe has halos which occurs from the bottom-up or the large structure of galaxies is formed starting with small objects.

Thus, the correct option is b.

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A boater is accompanied by a person at least 16 years of age. In michigan, what is the youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp?.

Answers

The youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp will be 12 years of age.

What is electric power?

It is the rate of the electric work done. Its unit is the watt. Horsepower is the unit of power.

A person under the age of 12 may only legally operate a boat with a motor that has more than 6 horsepower but no more than 35 horsepower

if they meet two requirements: they have a boating safety certificate, which they must have on board; and they are being closely watched by an adult who is at least 16 years old.

Hence the youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp will be 12 years of age.

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Two cars, with the same mass and traveling at the same speed, hit large trees head-on. One car has a rigid body that undergoes little or no deformation in the collision. The other has ``crumple zones'': portions of the body designed to crumple and deform in such a collision. How does this improve the chances that the driver of the second car will survive the event

Answers

The crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

Newton's third law of motion

According to Newton's third law of motion, action and reaction are equal and opposite.

The car with rigid body will exert maximum force to the driver while the car with crumple zone will exert lesser force to the driver since the crumple zone will act as shock absorber, reducing the impact of the force on the driver.

Thus, the crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

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What did johannes kepler contribute to the study of planets? he formulated the universal law of gravitation. he identified the first moons of jupiter. he collected detailed data that led to the proposal of the heliocentric model. he provided mathematical support for the heliocentric model.

Answers

Johannes Kepler contributed to the study of planets : He provided mathematical support for the heliocentric model.

What is Kepler's first law of planetary motion?

Kepler's first law of planetary motion states that the planets revolve around the Sun in orbits elliptical in shape with the Sun at its one of the focus.

As the planets rotate around the Sun, the relative distance between the Sun and planets increases and decreases.

The heliocentric model in which the Earth and planets revolve around the Sun at the center of the universe. Johannes gave the mathematical calculations of this model.

Thus, last option is correct.

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Answer:

D

Explanation:

Perform the following mathematical operation and report the answer to the correct number of significant figures 143.6/21.2

Answers

Answer:

143.6/21.2

=6.773584906

=6.8

grade 9 psyhics giving brainly​

Answers

Answer:

B

Explanation:

If the liquid leaked, there would be less pressure and thus less force which is only reflected by one answer choice.

limestone which physical property contributes to its usefulness and how?

Answers

The limestone is hard and compact and can be grinded into fine grained calcareous rocks and this contributes to its usefulness.

What are limestones?

Limestone is a type of sedimentary rock that is mainly made up of mineral calcite (calcium carbonate, CaCO3).

Their physical properties include the following;

it can be yellow or colourless

it has coarse to fine grain size

Therefore, the limestone is hard and compact and can be grinded into fine grained calcareous rocks and this contributes to its usefulness.

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Explain the meaning and use of the following acronyms: HELIOS, Exo-FMS, HAZMAT, NIRSpec.​

Answers

Answer:

HELIOS- The god of the sun in

HAZMAT-Hazardous materials

NIRSpec- Near Infrared Spectrograph

Explanation:

The acronyms will be:

HELIOS: personification of the SunExo-FMS: EXO flexible manufacturing ystemHAZMAT: hazardous materialsNIRSpec.: Near-infrared spectroscopy

How to explain the acronyms?

HAZMAT is an abbreviation for “hazardous material that is the substances in quantities or forms that may pose a reasonable risk to health, property, or the environment.

Near-infrared spectroscopy (NIRS) is a brain imaging method that measures light absorbance to calculate oxy-hemoglobin (oxy-HB) and deoxy-hemoglobin.

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two resistors 6 ohm and 3 ohm are connected in parallel and its connected with a cell of EMF 6 volt find the current through each resistors​

Answers

Answer:

See below

Explanation:

Each resistor has 6 v applied across it

rememeber

V = IR     then     V/R = I

for the 6 Ω      6 v /6Ω  = 1 amp

for the 3 Ω       6v /3Ω = 2 amp

Can someone PLEASE explain:
Average velocity = u + v / 2

(How do you find the initial and the final velocity in a situation)

Answers

Average velocity will be the total distance divided by total time. In this case, since you have the initial velocity, u, and the final velocity, v, therefore the average
velocity will be 1/2 (u + v)

A well is being dug. A 4.5-kg bucket is filled with 28.0 kg of dirt and pulled vertically upward at a constant speed through a distance of 9.0 m. Determine the work done on the filled bucket in raising out of the hole.

Answers

The work done on the filled bucket in raising out of the hole is 2, 925 Joules

How to determine the work done

Using the formula:

Work done = force * distance

Note that force = mass * acceleration

F = mg + ma

F = 4. 5 * 10 + 28 * 10

F = 45 + 280

F = 325 Newton

Distance = 9m

Substitute into formula

Work done = 325 * 9

Work done = 2, 925 Joules

Therefore, the work done is 2, 925 Joules

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2) A ball is thrown forward horizontally from the top of a cliff
with a velocity of 10m/s as shown in the figure below. The
height of the cliff above the ground is 4.5m. Calculate
0218
R
i for position coordinates p(x, y), prove that the path of
horizontal projectile is parabolic.
[3]
ii. the time to reach the ground
[1]
iii. the distance from the cliff of the ball on hitting the ground [1]
iv. the velocity with which the ball hits the ground
[2]
v. the direction of the ball to the horizontal just before it hits the
ground.
[1]

Answers

(i) For position coordinates p(x, y),  the path of horizontal projectile is parabolic.

(ii)  The time to reach the ground is 0.96 s.

(iii) The distance from the cliff of the ball on hitting the ground is 9.6 m.

(iv) The velocity with which the ball hits the ground is 9.4 m/s.

(v) The direction of the ball to the horizontal just before it hits the

ground is 90 degrees.

What is projectile?

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.

Given is a ball is thrown forward horizontally from the top of a cliff

with a velocity of 10m/s.  The height of the cliff above the ground is 4.5m.

(i) The equation formed by the ball is at point (x,y) given by

y =yo + Voy x t - 1/2gx²

The equation is in the form of parabola.

Thus, the ball follows parabolic path.

(ii) The time to reach the ground is

t = √2h/g

t =  √(2x 4.5)/9.81

t= 0.96 s

iii) Horizontal distance traveled

R = u x t

R = 10 x 0.96

R = 9.6 m

Thus, the distance from the cliff of the ball on hitting the ground is 9.6 m.

(iv) The velocity with which the ball hits the ground.

v = √2gh

Plug the values, we get

v = √(2 x 9.81 x 4.5)

v = 9.4 m/s

(v) The direction of the ball to the horizontal will be 90 degrees just before it hits the ground.

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A 60.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m. (a) What is the centripetal acceleration of the child

Answers

Answer:

3 because

Explanation:

60÷20=3 ans is this

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