two people push a 2,159. kg car to get it started. an acceleration of at least 3.4 m/s2 is required to start the car. assuming both people apply the same magnitude force in the same horizontal direction, how much force will each need to apply if friction between the car and the road is 310 n? express your answer in scientific notation. n

The kinetic energy of each of the following objects compare to one another as: II > I > III

As we know the kinetic energy is follows as:

K.E. = 1/2m[tex]v^{2}[/tex]

(i) Object 1

mass = 3kg

velocity = 4m/s

K.E. = 1/2m[tex]v^{2}[/tex]

K.E. = 1/2×3×4×4

K.E. = 24J

(ii) Object 2

mass = 1kg

velocity = 8m/s

K.E. = 1/2m[tex]v^{2}[/tex]

K.E. = 1/2×1×8×8

K.E. = 32J

(iii) Object 3

mass = 3kg

velocity = -3m/s

K.E. = 1/2m[tex]v^{2}[/tex]

K.E. = 1/2×3×(-3)×(-3)

K.E. = 13.5J

Therefore, the kinetic energy of each of the following objects compare to one another as: II > I > III

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The rolling resistance of the road is 203.02lb per ton

R=P/W where W=47877lb/(2000lb/ton)=23.985 ton

R=4860lb/23.985ton

R=203.02lb per ton.

Rolling resistance, occasionally known as rolling friction or rolling drag, is the pressure resisting the movement when a frame rolls on a surface. Its miles are mainly caused by non-elastic consequences; that is, no longer all of the energy needed for deformation of the wheel, roadbed, and so on., is recovered when the stress is removed.

Tire rolling resistance is the power that your vehicle needs to send to your tires to hold movement at a steady velocity over a surface. In other words, it is the effort required to maintain a tire rolling. the principal contributor to rolling resistance is the process known as hysteresis.

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If the second player moved horizontally, the speed he must maintain to catch the ball is 27.67 m/s.

The range of the projectile is the maximum horizontal distance travelled by the ball.

R = (u²sin(2θ)) / (g)

where;

R = (32² x sin(2 x 30) ) / (9.8)

R = 90.49 m

The time of motion of the ball is calculated as follows;

R = uₓt

where;

R = ucosθ(t)

t = R/ucosθ

t = (90.49) / (32 cos30)

t = 3.27 seconds

If the second player moved horizontally, the speed he must maintain to catch the ball is calculated as;

R = Ut

U = R/t

U = (90.49) / (3.27)

U = 27.67 m/s

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The wind tunnel speed that must be used to test the car 1 / 5 model of a car that normally runs at 30 mph is 150 mph

Re = u L / ν

Re = Reynold's number

u = Flow speed

L = Characteristic linear dimension

ν = Kinematic viscosity

ν[tex]_{p}[/tex] = 1.516 * [tex]10^{-5}[/tex] m² / s

ν[tex]_{p}[/tex] = ν[tex]_{m}[/tex] = 1.516 * [tex]10^{-5}[/tex] m² / s

L[tex]_{m}[/tex] = L[tex]_{p}[/tex] / 5

u[tex]_{p}[/tex] = 30 mph

Re[tex]_{m}[/tex] = u[tex]_{m}[/tex] L[tex]_{p}[/tex] / 5 * 1.516 * [tex]10^{-5}[/tex]

Re[tex]_{p}[/tex] = 30 L[tex]_{p}[/tex] / 1.516 * [tex]10^{-5}[/tex]

In tunnel,

Re[tex]_{m}[/tex] = Re[tex]_{p}[/tex]

u[tex]_{m}[/tex] L[tex]_{p}[/tex] / 5 * 1.516 * [tex]10^{-5}[/tex] = 30 L[tex]_{p}[/tex] / 5 * 1.516 * [tex]10^{-5}[/tex]

u[tex]_{m}[/tex] = 30 * 5

u[tex]_{m}[/tex] = 150 mph

Therefore, the wind tunnel speed that must be used to test the car is 150 mph

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The acceleration of the plane is:  -5.59 m/s²

The formula for uniformly varied rectilinear motion (UVRM) and procedure that we will use to solve this exercise is:

a = (vf - vi) /t

Where:

Information about the problem:

Applying the acceleration formula we have:

a = (vf - vi) /t

a = (0 m/s - 43.0 m/s) /7.69 s

a = (-43.0 m/s) /7.69 s

a =  -5.59 m/s²

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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If I had access to a personal DNA machine, I would analyze my ancestry and my health condition.

Just for curiosity you can compare your DNA to your parents DNA to find whose trait you received the most. Through DNA testing one can find where their ancestors lived and which group of people they interacted with.

In terms of analyzing DNA for health condition one can identify if they have any genetic diseases and it can also be used to identify cancer in its early stages so that it can be cured. It can also be used to identify the diseases an unborn fetus might inherit.

Therefore, if I had access to a personal DNA machine, I would analyze my ancestry and my health condition.

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Gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 , the mass of the earth to be me = 5.97×1024 kg , and the radius of the Earth to be re = 6.38×106 m then Gravitational force Fgrav on the satellite is 19383.7 N

Given value for constant Gravitational G = 6.67 x 10-11 N.m²/kg²

Earth mass is M = 5.97 x 1024

Mass of the satellite  m = 2440

Earth's radius  RE = 6.38 x 106 m

Height of the satellite from the surface of the Earth = H = 700 km = 700 x 103 m = 0.7 x 106 m

Radius of the satellite = R

R = RE + H

R = 6.38x106 + 0.7x106

R = 7.08 x 106 m

Gravitational force of Earth on the satellite = Fg

F, GMm R2

F,= (6.67 * 10-11)(5.97* 104) (2440) (7.08 * 106)2

Fg = 19383.7 N

Free-fall acceleration at the surface of the Earth = g = 9.8 m/s2

Weight of the satellite at the surface of the Earth = W

W = mg

W = (2440)(9.8)

W = 23912 N

Ratio of the gravitational force on the satellite to it's weight on the surface = P

P = Fg/W

p= 19383/23912

P = 0.8106

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Based on the principle of momentum, the momentum of the egg falling from a cliff and which shatters on hitting the ground is conserved.

Momentum is the product of the mass and the velocity of a compound.

Momentum, p = mass * velocity

Momentum is a vector quantity and its unit is kgm/s.

According to the principle of the conservation of momentum, in a system of colliding bodies, the momentum before the collision and the momentum after collision is conserved or equal.

Therefore, the momentum of the egg in the given scenario is conserved.

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Because of this, race cars have streamlined bodies that enable them to go at significantly higher speeds.

As there is less surface area to push the air against, the streamlined designed car will be able to cut through the air and produce less drag or resistance. They move slowly, as opposed to autos, which are not streamlined. Because of this, race cars have streamlined bodies that enable them to go at significantly higher speeds.

In order to push against the force of the air, objects must be streamlined. Trains are made to move quickly between destinations because of their streamlined form. Even people, like swimmers, can attempt to be streamlined.

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According to the research, the correct option is true. The statement "Pushing or pulling an object that is not already moving can make that object start to move" is true.

It is about the change of position starting from a reference system from which it is observed that an object experiences.

In this sense, it is related to the displacement of a body and is produced by an imbalance between the forces that act on it, that is, the application of a force modifies the state of rest or the direction of movement.

Therefore, we can conclude that motion is the state of bodies when they change position caused by an effect acting on the bodies called force.

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The correct option is b. The one with the lowest mass.

An object's kinetic energy is determined by

k=1/2mv^2

where

m is the object's mass.

v is the object's speed.

The three missiles in this puzzle have varying masses but the same beginning kinetic energy.

The three projectiles will all have the same kinetic energy when they hit the ground because mechanical energy is conserved, assuming there is no air resistance (because the potential energy that they have lost is the same, since they have been launched from the same height, and they reach the same final altitude, the ground).

hence,

K1=k2=k3

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Answer:

1 / f = 1 / object + 1 / image = 1 / 35 - 1 / 10   thin lens equation

f = o * i / (o + i)

f = -10 * 35 / (-10 + 35) = -350 / 25 = -14 cm

The resistance of a wire with a 1.6 mm diameter and 20 m length made of the same material is 3.14×10⁻⁷Ω−m.

Electrical resistance of a conductor with a unit cross-sectional area and unit length is called resistivity. Resistivity is a distinctive attribute of any material that may be used to compare different materials based on how well they conduct electric currents. Low conductivity is indicated by high resistance.

Given,

l= 10m= 1000mm

d= 2mm

∴radius(r)= 20.2 =0.1mm

R=10Ω

To find,

Resistivity(ρ)

ρ=R /l A

​where,

R= Resistance

l= Length of wire

A= Cross sectional area of wire

Cross sectional area of cylinder (A)=Πr²

A= π×(0.1)²

A=0.0314mm²

ρ=10(10000.0341)

ρ=0.000314Ω−mm

ρ≃3.14×10⁻⁷Ω−m

So, the resistivity of the material is equal to 3.14×10⁻⁷Ω−m.

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Explanation:

Unplanned maintenance at nuclear plants and lower than average wind speeds mean the country is currently relying on gas-powered stations to generate about half its electricity

The UK depends on power stations due to the more efficiency of energy production in them.

Even though UK has an enough wind supply over each year to meet the electric needs of UK, they still need power stations that use fuel to generate electricity.

This is because of the challenges created in the maintenance and implementation of wind plants in the UK.

The wind turbines have a higher cost for maintenance, compared to that of power stations. The ideal wind sites in the UK are mostly located in remote areas, so that it becomes more difficult for the implementation of wind plants. Also the lower average wind speed causes less production in the electricity through them. As a result, the UK still depends on power stations for the electric needs.

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ANSWER:

B. red giant

STEP-BY-STEP EXPLANATION:

The Sun is currently a main sequence star and will remain so for another 5 billion years. It will then expand and cool down to become a red giant, after which it will contract and heat up again to become a white dwarf.

Therefore, the correct answer is: B. red giant

Given data

*The given initial velocity is u = 0 m/s

*The given acceleration is a = 7 m/s^2

*The given final velocity is v = 25 m/s

The formula for the time taken to reach his final velocity is given by the kinematic equation of motion as

Substitute the known values in the above expression as

Thus, the time taken to reach his final velocity is t = 3.57 s

If air resistance can be neglected, what happens to the horizontal velocity  of a basketball as it is thrown to the basket from the free-throw line increases while the ball is going up, and then decreases while the ball is coming down.

- When anything is hurled horizontally, gravity accelerates the object downward. – The only direction in which gravitational acceleration occurs is vertical. If we exclude the effects of air resistance, the object's horizontal velocity remains constant.

We know that the horizontal component of the force acting on the projectile at any given time will be zero if the air resistance is ignored in the projectile motion, which results in Fx=0.

The only force operating on the body in a horizontal direction if we neglect air resistance is gravity, which is acting in a vertical direction. As a result, the horizontal motion moves at a constant speed.

Therefore, option C is correct.

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The mass of the bob has no bearing on the pendulum's time period.The time duration would therefore remain the same if the mass of the bob doubled.

Solve the problem ?

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According to the given statement is the train’s velocity after 14s is -7.5 m/s.

The path of a body or entity's movement is determined by its velocity. In its basic form, velocity is a scalar quantity. In definition, velocity is a vector quantity. It is the speed where at ’s dimensional. It is the migration change rate.

Initial velocity of the train, u = -4.0 m/s

Acceleration of the train, a = -0.25 m/s²

Time of motion of the train, t = 14 s

The following formula is used to determine the train's final speed:

v = u + at

v is the final velocity of the train

v = -4.0 + (-0.25 x 14)

v = -4.0 - 3.5

v = -7.5 m/s

Therefore, the train velocity of the train is -7.5 m/s.

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It is to be noted that electronegativity will assist the analyst in the determination of the nature of the interactions between the elements discovered by the Curiosity Rover.

The electronegativity values of two bound atoms indicate whether a bond is nonpolar or polar covalent, as determined by the bonding atoms' properties.

Electronegativity is a measurement of an atom's proclivity to attract electrons (or electron density) toward itself.

Electrons in a polar covalent bond are moved toward the more electronegative atom; consequently, the atom with the partial negative charge is the more electronegative atom. The bigger the electronegativity difference, the more polarized the electron arrangement and the larger the atoms' partial charges.

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An elliptical orbit of a comet around the sun. The Pluton orbit is far from the sun's farthest distance. 51109.88 m/s is the speed when it is 6 x 1012 m from the sun.

given data

Vi=9.2104m/s is the comet's speed at d1=4.51010m.

When d2=61012m, the speed will be Vf.

Since there is no work done by the environment and the system's starting and final energies are equal, we can use:

[tex]E_{f}=E_{i}+W\\K_{f}+U_{f}=K_{i}+U_{i}+0\\1/2mv_{f}^{2}+\frac{-GMm}{d_{2}}=1/2mv_{i}^{2}+\frac{-GMm}{d_{i}}  \\v_{f}=\sqrt{v_{i}^2+2GMm[1/d_{2}-1/d_{1}]}[/tex]

Substitute the given values to find final velocity Vf

So

[tex]v_{f}=\sqrt{(9.2*10^{4}m/s )^2+2(6.7*10^{-11})(1.98*10^{30})[1/6*10^{12}-1/4.5*10^{10}]} \\[/tex]

[tex]v_{f}[/tex]=51109.88m/s

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Velocity can be defined as the rate at which something moves in a specific direction.as the speed of a car driving north on a highway or the pace at which a rocket takes off.Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.

Solve the problem ?

V(m1 + m2) = m1u1 + m2u2.

0.3 * 12.0 + 0.7 * 10.4 = V(3.0 + 7.28)

3.0+ 7.28 = V(1) (1)

10.28 = V

The 0.3 mass and 0.7 kg mass are added to create the 1 kg mass

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The 0.3 mass and 0.7 kg mass are added to create the 1 kg mass.

V(m1 + m2) = m1u1 + m2u2.

0.3 * 12.0 + 0.7 * 10.4 = V(3.0 + 7.28)

3.0+ 7.28 = V(1) (1)

10.28 = V

The 0.3 mass and 0.7 kg mass are added to create the 1 kg mass.

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Answer:  The paper prices fall off due to repulsive forces.

Explanation: When an electrified or charged object is brought near an uncharged object, it causes the electrons of the uncharged object to move as electrons are free movable particles. The electron leave behind the atoms. The uncharged object becomes ionized.

Here the pieces of paper may fall off because it becomes de-ionized by surrounding air particles. While the pieces are attached to the rod, surrounding air particles may provide or take away electrons and make the pieces become neutral again

Claim 2: Some of the liquid oxygen evaporated in tank 3 is the claim with the most proof based on the experiment with liquid oxygen and nitrogen.

Therefore, the reason of above statement can be explained as, that nitrogen has a lower boiling point than oxygen, the liquid nitrogen and oxygen mixture in tank 3 is slightly heated to allow nitrogen to escape. However, as gas particles can evaporate at a temperature below their boiling point provided they have enough energy, some oxygen might have escaped simultaneously when the boiling produced sufficient energy.

Thus the claim 2 is suitable option of this evidence.

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Answer:

980N

Explanation:

100kg times 9.8m/s2

The force the high school athlete must exert to lift the loaded bar of mass 100 kg and overcome the force of gravity is 980 N

F = m a

F = Force

m = Mass

a = Acceleration

m = 100 kg

a = 9.8 m / s²

F = 100 * 9.8

F = 980 N

The equation used to solve the given problem is derived from the Newton's second law of motion. The law states that the force is the rate of change of momentum.

Therefore, the force the high school athlete must exert is 980 N

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The particles or energy in a transverse wave travel up and down, perpendicular to the direction of the wave travel.

Electromagnetic waves are type of wave that do not require material medium for their propagation.

This type of waves travels in vacuum or in open medium.

Examples of electromagnetic waves include the follows;

Electromagnetic waves are known as transverse waves due to their mode of propagation.

In transverse wave, the particles of the medium travels perpendicular to their mode of vibration.

Thus, the particles or energy in a transverse wave travel up and down, perpendicular to the direction of the wave travel.

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The angular distance should be

In revolution, θ = 11.53 revolution.

In radian = θ = 72.40 rad.

In degree θ = 4150.8°.

Calculation of the angular distance:

Since

Pie diameter = 8.50 in

So,  the circumference of the pie should be

P = πd = 8.50π in

And, rim of the pie rotates 308 in,

So,

1 Revolution of the pie is 8.50π in,

So, for 308 it should be

= 308 in / 8.50π in revolution

=11.53 revolution

Now in the case when when we have to find distance in radians:

1 revolution is 2πrad

So,

11.53 revolution = 11.53 × 2π = 72.40 rad.

And also, 1 revolution is 360°

So,

11.53 revolution = 11.53 × 360 = 4150.8°

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