Using energy considerations, calculate the average force (in N) a 70.0 kg sprinter exerts backward on the track to accelerate from 2.00 to 8.00 m/s in a distance of 25.0 m, if he encounters a headwind that exerts an average force of 30.0 N against him.

Answer:

m V^2 / R = G M m / R^2

M = R V^2 / G            balancing forces

V = 2 pi R / T         speed of craft

M = 4 pi^2 R^3 / (G * T^2)       substituting for V

M = 4 pi^2 * 52E21 / (6.67E-11 * 1.30E7) = 39.5 * 52 / (6.67 * 1.3) * 10^25 kg

M = 2.37E27 kg

note mass of earth = 5.98E24 kg - should check mass obtained

The force applied to the ball from bat if the ball is in contact with the ball for only 0.0007 s is 34.29 KN

J = F * t

J = Impulse

F = Force

t = Time

J = 24 N s

t = 0.0007 s

F = J / t

F = 24 / 0.0007

F = 34.29 KN

Impulse is the rate of change of momentum in an object. It can simply be defined as force acting on an object over a period of time to change the object's momentum. So,

J = Δp = F Δt

Therefore, the force applied to the ball from bat is 34.29 KN

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The Direction of the vector sum of the two vectors V and W is resulted as 240.84 m toward + x.

A vector is a quantity or phenomenon with independent components of magnitude and direction. The expression can also be used to describe a quantity's geometric or mathematical representation.

The following are the x and y axes for the supplied vector:

Vector V in x direction;

[tex]$$\begin{aligned}&\mathrm{V}_{\mathrm{x}}=\mathrm{V} \cos \theta \\&\mathrm{V}_{\mathrm{x}}=448 \cos \left(224^0\right) \\&\mathrm{Vx}=-322.26\end{aligned}[/tex]

Vector V in y direction;

[tex]\begin{aligned}&V_y=V \sin \theta \\&V_y=448 \times \sin 224^0 \\&V_y=-311.2\end{aligned}[/tex]

Vector W in x direction;

[tex]W_x = 336 \times cos(74.9^0)[/tex]

[tex]W_x = 81.86[/tex]

Vector W in y direction;

[tex]\begin{aligned}&\mathrm{W}_{\mathrm{y}}=336 \times \sin 75.9 \\&\mathrm{W}_{\mathrm{y}}=325.88\end{aligned}[/tex]

The resultant vector in the x direction is;

[tex]\begin{aligned}&\Sigma X=-322.26+81.86 \\&\Sigma X==-240.4\end{aligned}[/tex]

The resultant vector in the y direction is;

[tex]\begin{aligned}&\Sigma Y=-311.2+325.88 \\&\Sigma Y=14.68\end{aligned}[/tex]

The resultant vector is found as;

[tex]\begin{aligned}&\mathrm{R}=\sqrt{(-240.4)^2+(14.68)^2} \\&\mathrm{R}=240.84 \mathrm{~m}\end{aligned}[/tex]

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Given data

*Alec is rising towards the surface of the water is u = 6.0 m/min

*The given distance is d = 8.4 m

The formula for the time taken by the Alec to rise is given as

Substitute the values in the above expression as

Hence, the time is taken by Alec to rise is t = 1.4 minutes

9.14 s long it will take a cyclist to bring a bicycle with an initial speed of 12.8 m/s to a complete stop.

Depending on whether an object is moving much faster, slower, or in a different direction, its speed may change. Examples of acceleration include a falling apple, the moon orbiting the earth and a car which has stopped at a stop sign.

Uniform acceleration, non-uniform acceleration, and average acceleration are the three different forms of accelerated motions.

a = -1.4 m/s²

v[tex]_i[/tex] = 12.8 m/s²

v[tex]_f[/tex] = 0

Δt = ?

We use formula

a = v[tex]_f[/tex] - v[tex]_i[/tex]/t

-1.4 = 0 - 12.8/t

t = 9.14 s

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According to the given statement the charge Q is 6 coulomb that requires of energy to be moved through a potential difference .

Note that whenever a voltage is stated, it refers to the difference in potential between two places. Every battery, for instance, has two terminals, and its voltage seems to be the difference in potential between them.

The voltmeter is a tool used to measure potential difference. Some varieties, like voltmeters, feature a pointer on a dial, but digital displays are more common. To detect the potential difference across a circuit element, you must connect a voltmeter in parallel, unlike an ammeter.

W is work done

V is potential difference

Work done

W = 96J

V = 16

W=Q×V

Q=W÷V

Q =  96 ÷ 16

Q =  6 Coulomb.

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(D) The electric potential at the point P is +1.6 kQ/R.

The electric potential of a given charged body is the work done in bringing the charge from a point to a given location in the electric field.

Mathematically, electric potential is given as;

V = kq/r

where;

The distance of each of the negative charge to point P is calculated as follows;

r = √(R² + R²)

r = √(2R²)

r = R√2

The electric potential from each negative charge to point P;

V = -kQ/(R√2)

For the two charges = - 2kQ/(R√2)

The electric potential from 3Q

V = (k3Q) / R

V = (3kQ)/R

The total electric potential;

V(net) =  (3kQ)/R - 2kQ/(R√2)

V(net) =  (3kQ)/R - (1.414kQ)/R

V(net) = +1.6 kQ/R

Thus, we can conclude that the sum of the sum of the electric potential at point must be positive since it is directed to the positive y-direction.

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A geostationary orbit can be achieved only at an altitude very close to 35,786 kilometres (22,236 miles) and directly above the equator. This equates to an orbital speed of 3.07 kilometres per second (1.91 miles per second) and an orbital period of 1,436 minutes, one sidereal day.

The average acceleration during the time interval t=0 to t=10s is 1.67 m/s².

The average acceleration of an object is the rate of change of velocity of an object with time.

Mathematically, the average acceleration of an object is given as;

a = Δv/Δt

a = (v₂ - v₁)/(t₂ - t₁)

where;

From the graph,

the initial velocity at time of 0 second = 0 km/h

the final velocity at time of 10 seconds = 60 km/h = 16.67 m/s

the initial time = 0 s

the final time = 10 s

The average acceleration of the car is calculated as follows;

a = (16.67 m/s - 0 m/s) / (10 s - 0 s)

a = 1.67 m/s²

Thus, the average acceleration of the car increases with increase in the rate of change of displacement with time.

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Potential energy of a child at the top is 490 J.

Potential energy, U = mgh

U = potential energy

m  = mass of an object, given = 25kg

g = acceleration due to gravity, given = 9.8 m/[tex]s^{2}[/tex]

h = height of an object, given = 2 meter

Put the values in potential energy formula, U = mgh

U = mgh

U = 25 × 9.8 × 2

U = 490 J

Hence, Potential energy of a child at the top is 490 J.

Potential energy is the  type of energy, which is product of mass of an object, acceleration due to gravity and height of an object where it is placed. Its S.I. unit is joule and is represented by J.

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A load of 24N must be placed on the spring balance for an extension of 8cm and the value of spring constant is calculated as 3N[tex]cm^{-1}[/tex].

The lengthened portion of an object, such as a spring, is known as its extension.

F = ke

The force in newtons is F. (N)

The “spring constant” (k) is expressed in newtons per meter (N/m).

E is the length in meters (m)

This equation is valid as long as the proportionality limit is not exceeded.

The extension for a particular spring and other elastic items is inversely proportional to the applied force. For instance, the extension doubles if the force does.

Kx = 15N

K = 15/x

= 15/5

K = 3N[tex]cm^{-1}[/tex]

dx = 8cm

The value of spring constant is = 3N[tex]cm^{-1}[/tex]

So, 3(8) = 24

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Answer: The direction of the resultant can be determined by finding the angle that the resultant makes with either the north-south or the east-west vector. The diagram at the right shows the angle theta (Θ) marked inside the vector addition triangle. This angle theta is the angle that the resultant makes with west.

Explanation: Hope this helps.

Answer:

Magnitude=25.5    

Direction=-60.4

Explanation:

[tex]\sqr\sqrt{ x^{2} +y^{2} \\\\[/tex]=m

[tex]Tan^{-1} (y/x)[/tex] = D

The velocity of the ball just before it strikes the floor is -6.18 m/s. The velocity of the ball just after it leaves the floor is 5.3 m/s. Acceleration during contact with the floor is 3280 m/s^2. The compression of the ball during its collision with the floor is -9.42*10^-4 m

(a) The ball dropped from a height 1.95 meters. The velocity just before it strikes the floor is calculated by the kinematic equation. The initial velocity is zero.

v^2 = u^2 + 2aS

v^2 = 0 + 2*-9.8*(0-1.95)

V = -sqrt(38.22) = -6.18 m/s

(b) The velocity just after it leaves the floor on its way back up.  The initial velocity is zero in this case. The ball rebounds to a height of 1.44 m.

v^2 = u^2 + 2aS

v^2 = 0 + 2*-9.8*(1.44-0)

v = sqrt(28.22) = 5.3 m/s

(c) The acceleration during contact with the floor is calculated where time is 3.50 ms.

Time in seconds = 3.5/1000 = 0.0035

a = change in velocity/time

a = (5.3 m/s - -6.18 m/s)/0.0035

a = 11.48/0.0035 = 3280 m/s^2

(d) Assuming the floor is absolutely rigid. The amount which the ball compress during its collision with the floor is given as,

v^2 = u^2 + 2aS

S = (v^2 - u^2)/2a

S = (-6.18 m/s - 0)/2*3280 m/s^2

S = -9.42*10^-4 m

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Making progress by conducting studies for research, project or article and presenting this progress to scientists represent a category that belongs to Science (Option A).

Sciences can be defined as a body of empirical knowledge whose development is based on the presentation of results from experiments in peer-reviewed publications and the generation of projects to investigate different issues of the real world.

Therefore, we can conclude that Science is a body of info based on the transference of knowledge which involves developing projects or writing scientific articles (Option A).

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The output voltage of a step-up transformer is 2550volts.

A transformer is an electrical energy transfer device that steps up or steps down the voltage from one alternating-current circuit to one or more other circuits.

We are given that,

The primary voltage of a transformer = V₁ = 170V

The number of turns of coils of primary transformer = N₁ = 10turns

The number of turns of coils of secondary  transformer = N₂ = 150 turns

Thus , to get the output voltage V₂ of  a step-up transformer, we can use the formula,

[tex]\frac{V_{2} }{V_{1} } = \frac{N_{2} }{N_{1} }[/tex]

Where, V₁ is primary voltage of a transformer , V₂ is the output voltage (secondary) of a transformer , N₁ & N₂ are the number of turns of  coils primary and secondary transformer.

Therefore , after putting the values in above equation we can get,

[tex]V_{2} = \frac{N_{2} }{N_{1} } V_{1}[/tex]

[tex]V_{2} =[/tex] [tex]\frac{150}{10} 170volts[/tex]

[tex]V_{2} =[/tex] [tex]2550 volts[/tex]

Therefore, the output voltage of the step-up transformer would be 2550 volts.

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Answer:

Like trees, houses, and people, anything outside is at risk of being struck by lightning when thunderstorms are in the area, including cars. The good news though is that the outer metal shell of hard-topped metal vehicles does provide protection to those inside a vehicle with the windows closed.

Answer: Depends

Explanation:

You should be good if you have proper shelter and protection to maintain safety.

If it's hail, it's probably best to find shelter and I recommend putting a thick blanket on the windows so they don't burst.

Weight is the gravitational force with which the earth pulls an object towards it whereas, Mass is a quantity representing the amount of matter in a particle or object.

hope this helps and you need a chair for sitting xD -,-

The Sun’s effect on Earth change if the Sun was half its mass, the pull of gravity from the Sun would only be half as strong and is denoted as option A.

This is referred to as the universal force of attraction which acts on all matters and is dependent on some parameters such as mass etc.

The increase in mass denotes a corresponding increase in gravity and vice versa which is therefore the reason why if the Sun was half its mass, then the pull of gravity from the Sun would only be half as strong.

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This answer which is currently written is not complete because solving a vector problem, we should also mention the direction correctly, but here the direction is not mentioned.

A vector is a quantity or phenomenon that has two impartial houses, value and course. The term also denotes the mathematical or geometrical illustration of the sort of quantity. Examples of vectors in nature are pace, momentum, pressure, electromagnetic fields, and weight. A vector may be located in a square coordinate device, as illustrated here. The square coordinate notation for this vector.

vector, in physics, is a quantity that has each importance and course. it's far usually represented via an arrow whose direction is similar to that of the amount and whose period is proportional to the quantity's magnitude. although a vector has magnitude and direction, it does not have a function.

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Answer:

Explanation:

In mathematics, the common logarithm is the logarithm with base 10. It is also known as the decadic logarithm and as the decimal logarithm. Natural logarithm of 379 is 5.9375362050824 Decimal logarithm of the number 379 is 2.5786392099681 Sine of 379 is 0.9055655749933. Cosine of the number 379 is -0.42420630521841. Tangent of the number 379 is -2.1347291727006

The Common logarithm for the 379 using a scientific calculator is 2.58. It means that 2.58 is the value of [tex]log_{10}[/tex] ( 379 ).

[tex]log_{a}[/tex] ( x ) = [tex]log_{10}[/tex] ( x ) / [tex]log_{10}[/tex] ( a )

This is how it should be calculated using a scientific calculator if you want to find the value of x for a different base. The commonly used base is 10 because in olden days logarithmic tables were used instead of calculators.

In order to reduce the calculations to basic formats such as addition and subtraction, base 10 was used. So calculators were designed in such a way that if you use log of any number it is the value of log with a base of 10.

Therefore, the Common logarithm for the 379 using a scientific calculator is 2.58. It means that 2.58 is the value of [tex]log_{10}[/tex] ( 379 ).

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A 30.0-mg oil drop carrying a charge of +3.2 μC passes undeflected through a region in which there is a uniform, constant electric field. The Electric field is mathematically given as

98 N/C

This is further explained below.

Generally, Generally, the equation for Electric field the is mathematically given as

q E=m g

Therefore

[tex]&\left(3 \times 10^{-6} \mathrm{C}\right) E=\left(30 \times 10^{-6} \mathrm{~kg}\right)\left(9.8 \mathrm{~m} / \mathrm{s}^2\right) \\[/tex]

E=98N/C

In conclusion, The force of gravity always pulls in a downward direction; hence, the electric field will be exerted in an upward direction. As a result, the value is positive.

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Acceleration of the rabbit, moving in the positive x-direction at 1.50 m/s when it spots a predator and accelerates to a velocity of 12.1 m/s along the positive y-axis, all in 2.20 s is given by in x direction 0 m/sec² in y direction is 5.50 m/sec².

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.

Given in the question rabbit is initially moving with speed 1.50 m/sec in x direction after rabbit spot predator start accelerating in y direction to velocity 12.1 m/sec in 2.20 m. so acceleration in x direction will be zero.

Acceleration in y direction is 5.50 m/sec².

Acceleration in x direction will be zero.

Acceleration in y direction is 5.50 m/sec².

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Answer:

birr i am not smart i d know what to do

Explanation:

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Be [purple], Ca [black] and Sr [blue] are the elements in order of increasing size.

Brittle is not the property of metals.

The strong electrostatic force of attraction that is present in metal ions when they are surrounded by a large number of electrons. It is actually very strong and flexible at the same time. So, when we apply a force on the metals, they can be transformed into flat and smooth sheets that can be drawn into wires and they are hard to break into pieces.

Beryllium is an element that is present in the second period while on the other hand, calcium element is present in the next period and Sr element is also present in the lower period of periodic table. We know that when we move down the group, the number of shells increases which ultimately leads to increase in atomic size.

So we can conclude that the elements in order of increasing size are Be [purple], Ca [black] and Sr [blue]. The property which is not present in metals is the property of metals.

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Answer:A

Explanation: i think

Answer:

a) V ≈ 125 m/s;  b) Δt = 13.24 s;  c) ΔS ≈ 1450 m

Explanation:

a) We have just to calculate the vector resultant.

V² = 106² + 66.2²

V² = 15618.44

V ≈ 125 m/s

b) The time of flight is equal to the time to reach the maximum height summed to the time to reach the land.

In vertical:

V = V₀ + a * t

V = 66.2 - g * t

0 = 66.2 - 9.8 * t

t ≈ 6.76 s

So: Δt = 13.24 s

c) In horizontal:

V = ΔS / Δt

106 = ΔS / 13.52  ⇒  ΔS = 106 * 13.52

ΔS = 106 * 13.52

ΔS = 1433,12

ΔS ≈ 1450 m