An Olympic high jumper, with a mass of 82 kg, has a
maximum gravitational potential energy of 1970 J. How
high was the jump?

Answer:

3 bending

Explanation:

Answer:

Explanation:

The net force is in the same direction of the acceleration. Acceleration changes the speed of an object.

Answer:

Both charges must have the same charge, Qt/2.

Explanation:

Let the two charges have charge Q1 and Q2, respectively.

Use Coulombs's Law to find an expression for the force between the two charges.

[tex]F = k_e\frac{Q_1Q_2}{r^2}[/tex], where

Ke is Coulomb's contant and

r is the distance between the charges.

We know from the question that

Q1 + Q2 = Qt

So,

Q2 = Qt - Q1

[tex]F = k_e\frac{Q_1(Q_t - Q_1)}{r^2}[/tex]

Simplify to obtain,

[tex]F = \frac{k_e}{r^2} (Q_tQ_1 - Q_1^2)[/tex]

In order to find the value of Q1 for which F is the maximum, we will use the optimization technique of calculus.

Differentiate F with respect to Q1,

[tex]\frac{dF}{dQ_1} = \frac{k_e}{r^2} (Q_t - 2Q_1)[/tex]

Equate the differential to 0, to obtain the value of Q1 for which F is the maximum.

[tex]\frac{k_e}{r^2} (Q_t - 2Q_1) = 0\\Q_t - 2Q_1 = 0\\2Q_1 = Q_t\\Q1 = \frac{Q_t}{2}[/tex]

It follows that

[tex]Q_2 = \frac{Q_t}{2}[/tex].

Answer:

Conductivity, [tex]\sigma=500\ (\Omega-m)^{-1}[/tex]

Explanation:

Given that,

The resistivity of a material, [tex]\rho=2\times 10^{-3}\ \Omega-m[/tex]

We need to find the conductivity of the material.

We know that the reciprocal of resistivity is called conductivity.

[tex]\sigma=\dfrac{1}{\rho}\\\\\sigma=\dfrac{1}{2\times 10^{-3}}\\\\\sigma=500\ (\Omega-m)^{-1}[/tex]

So, the conductivity of the material is [tex]500\ (\Omega-m)^{-1}[/tex].

Answer: 1. The law of consevation of energy sates that energy can neither be created nor destroyed. It can only be transformed or transfered from one form to another. The law of conservation of energy is found everywhere for example, Water falls from the sky, converting potential energy to kinetic energy.

2. Different forms of energy are related because energy cannot be created or destroyed. they can all be transformed into from one form to another.

Explanation:

Answer:

1.Lactose

I Hope its help for you

Have a good day

Answer:

1.825 miles

Explanation:

Given that :

Distance driven = hypotenus = 1.5 miles

Elevation at distance of 1.5 miles = 510 feets

Converting miles to feets for the hypotenus :

1 mile = 5280 feets

1.5 miles = (5280 * 1.5) = 7920 feets

To obtain the angle of inclination :

Using Pythagoras rule :

Sinθ = opposite / hypotenus

θ = Sin^-1(510 / 7920)

θ = 3.692°

For an additional elevation of 110 ft ; new height = 110 + 510 = 620 feets

Distance driven, d =?

Sin 3.69 = (620 / d)

0.0643581 * d = 620

d = 620 / 0.0643581

d = 9633.5970 feets

Converting to feets :

9633.5970 / 5280 = 1.8245448

= 1.825 miles

Answer:

grams

Explanation:

Answer:

Answer:

Liquid dishwashing soap

Vinegar

An "alcopop" is a term used to describe a flavored alcoholic beverage that typically resembles a soft drink or a fruit juice in appearance and taste. It is also referred to as a "ready-to-drink" (RTD) beverage.

Alcopops are often targeted toward younger consumers and are known for their sweet and fruity flavors, which can mask the taste of alcohol.

The specific recreational drug that an alcopop contains is alcohol itself. Alcohol, or ethanol, is a psychoactive substance that can have intoxicating effects when consumed.

It is considered a recreational drug because of its ability to alter consciousness, impair judgment and coordination, and produce pleasurable or mood-altering effects.

The alcohol content in alcopops can vary, but it is typically lower than in pure spirits or liquors. This is often achieved through dilution with other ingredients, such as carbonated water or fruit juices, to create a milder alcoholic beverage.

Alcopops may also contain additional flavorings, sweeteners, and additives to enhance their taste and appeal.

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Answer: The Boat will rise

Explanation: Because high amplitude means high in heights.

Answer:

105 kg.m/s

Explanation:

Formula for change in momentum is given as;

ΔP = m(v - u)

We are given;

Mass; m = 35 kg

Initial velocity; u = 3 m/s

Final velocity; v = 6 m/s

Thus;

ΔP = 35(6 - 3)

ΔP = 35 × 3

ΔP = 105 kg.m/s

Answer:

Your abdominals

Explanation:

Answer:

It should be Mass, Gravity and Height

Explanation:

Answer:

1.56×10¯¹⁰ V.

Explanation:

From the question given above, the following data were obtained:

Capicitance (C) = 0.9 MF

Quantity of electricity (Q) = 1.4x10¯⁴ C

Potential difference (V) =?

Next, we shall convert 0.9 MF to farad (F). This can be obtained as follow:

1 MF = 10⁶ F

Therefore,

0.9 MF = 0.9 MF × 10⁶ F / 1 MF

0.9 MF = 9×10⁵ F

Finally, we shall determine the potential difference. This can be obtained as follow:

Capicitance (C) = 9×10⁵ F

Quantity of electricity (Q) = 1.4x10¯⁴ C

Potential difference (V) =?

Q = CV

1.4x10¯⁴ = 9×10⁵ × V

Divide both side by 9×10⁵

V = 1.4x10¯⁴ / 9×10⁵

V = 1.56×10¯¹⁰ V

Therefore, the potential difference is 1.56×10¯¹⁰ V.

Answer:

weight

Explanation:

weight is the pull of gravity so its a force !!

Answer:

When we have a plane interface, the angle of incidence of the ray is the same as the angle of reflection.

In this case, we have a mirror (we assume that it is plane) and we know that we need to have an angle of reflection equal to 38° in order to reach Sam.

Then the angle of incidence of the ray must also be exactly 38°.

Then Billy needs to shine his laser at an angle of 38° at the mirror.

(where the angle is measured between the normal line to the surface of the mirror and the incident ray)

Billy needs to shine the laser at an incident angle of 38 degrees.

LASER is an acronym that stands for “light amplification by the stimulated emission of radiation.” We know that according to the laws of reflection, the angle of incidence is equal to the angle of reflection.

As such, knowing that Sam is at a 38 degree reflection angle from the mirror, Billy needs to shine the laser at an incident angle of 38 degrees.

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Answer: 0.24 m/s

Explanation:

Answer:

[tex]F_N>F_N'[/tex]

Explanation:

From the question we are told that

Radius of curvature[tex]r=100m[/tex]

Mass [tex]M=300kg[/tex]

initial Speed of Motorcycle  [tex]V_1=30m/s[/tex]

Final  Speed of Motorcycle  [tex]V_2=33m/s[/tex]

Generally the equation Force at initial speed is  mathematically given as

[tex]F_N=mg-\frac{mv^2}{R}[/tex]

[tex]F_N=300*9.8-\frac{(300*30)^2}{100}[/tex]

[tex]F_N=240N[/tex]

Generally the equation Force at Final speed is  mathematically given as

[tex]F_N'=mg-\frac{mv'^2}{R}[/tex]

[tex]F_N'=300*9.8-\frac{(300*33)^2}{100}[/tex]

[tex]F_N'=-327N[/tex]

Therefore

[tex]F_N>F_N'[/tex]

Following are the calculation to the given question:

Solution:

Using formula:

[tex]\to mg - F^{'}_N=\frac{mv^{2}}{R} \\[/tex]

Calculating the Initial value:    

[tex]\to F_N = mg - \frac{mv^2}{R}\\\\[/tex]

          [tex]= 300 \times (9.8 - \frac{(30)^2}{100}) \\\\= 300 \times (9.8 - \frac{900}{100}) \\\\= 300 \times (9.8 - 9) \\\\= 300 \times (0.8) \\\\ = 240\ N \\\\[/tex]

Calculating the Final value:

[tex]\to F^{'}_{N}= 300 (9.8 -\frac{33^2}{100})\\\\[/tex]

          [tex]= 300 (9.8 -\frac{1089}{100})\\\\= 300 (9.8 - 10.89)\\\\= 300 (- 1.09)\\\\=-327[/tex]

Therefore, the answer is "the new normal force is less than [tex]F_{N}[/tex]" or [tex]\bold{F^{'}_{N}< F_{N}}[/tex].

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Explanation:

Cheetahs can go from 0 to 60 miles per hour in just 3.4 seconds and reach a top speed of 70 miles per hour. While they are the fastest land animal in the world, they can only maintain their speed for only 20 to 30 seconds.

Answer:

x = 41.2 m

Explanation:

The electric force is a vector magnitude, so it must be added as vectors, remember that the force for charges of the same sign is repulsive and for charges of different sign it is negative.

In this case the fixed charges (q₁ and q₂) are positive and separated by a distance (d = 100m), the charge (q₃ = -1.0 10⁻³ C)) is negative so the forces are attractive, such as loads q₃ must be placed between the other two forces subtract

             F = F₁₃ - F₂₃

let's write the expression for each force, let's set a reference frame on the charge q1

           F₁₃ = [tex]k \frac{q_1 q_3}{x^2}[/tex]

           F₂₃ = [tex]k \frac{q_2 q_3}{(d-x)^2}[/tex]

they ask us that the net force be zero

           F = 0

           0 = F₁₃ - F₂₃

           F₁₃ = F₂₃

          k \frac{q_1 q_3}{x^2} =k \frac{q_2 q_3}{(d-x)^2}

          [tex]\frac{q_1}{x^2} = \frac{q_2}{(d-x)^2 }[/tex]q1 / x2 = q2 / (d-x) 2

           (d-x)² = [tex]\frac{q_2}{q_1}[/tex] x²

we substitute

           (100 - x)² = 2/1  x²

           100- x = √2  x

           100 = 2.41 x

           x = 41.2 m

Answer:

the speed and aceleration of the ping pong ball is greater than that of the bowling ball.

Explanation:

We can analyze this exercise from several points of view, if we use Newton's second law

Bowling ball

           F = M a₁

pingpongg ball

           F = m a₂

as the forces the same

          M a₁ = m a₂

          a₂ = [tex]\frac{M}{m}[/tex] a₁

Since the mass of the bowling ball is much greater than the ping pong ball,

          a₂ »a₁

so the acceleration of the ping pong ball is much greater than the acceleration of the bowling ball.

If we use the relationship of momentum and momentum, assuming that the time for the two cases is the same and that both start from rest

Bowling ball

           I = F t = Δp

           I = M (v₁ - v₀)

Ping pong ball

           I = F t = Δp

           I = m (v₂ -v₀)

the impulse itself

          M v₁ = m v₂

          v₂ = [tex]\frac{M }{ m}[/tex] v₁

so we conclude that the speed of the ping pong ball is much greater than the speed of the bowling ball.

In conclusion the speed and aceleration of the ping pong ball is greater than that of the bowling ball.

Answer:

E. Some charges in the region are positive, and some are negative.

Explanation:

Electric potential is given as;

[tex]V = \frac{W}{Q}[/tex]

where;

W is the work done in moving a charge between two points which have a difference in potential

Q is quantity of charge in the given region

If the electric potential at a given point in the region is zero, then sum of the charges in the given region must be equal to zero. For the charges to sum to zero, some will be positive while some will be negative,.

Therefore, the correct statement in the given options is "E"

E. Some charges in the region are positive, and some are negative.

No

because that is a light

The light travel faster in fresh water as compare to sea water.

Hence, the light travel faster in fresh water as compare to sea water.

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Answer:

The starting velocity.

Explanation:

We must understand that this equation comes from the following equation of kinematics.

[tex]v_{f}=v_{o}+a*t[/tex]

where:

Vf = final velocity = 33 [m/s]

Vo = starting velocity [m/s]

a = acceleration = 3 [m/s²]

t = time = 30 [s]

So, these values can be assembly in the following way:

[tex]v_{f}=v_{o}+a*t\\a*t=v_{f}-v_{o}\\3=\frac{33-v_{o}}{30}[/tex]