A baby elephant trots in a straight line along river. The horizontal position of the elephant in meters over time is shown below. Questions: 1. What is the displacement of the elephant between 8 s and 24 s ?2. What is the distance traveled by the elephant between 8s and 24s?

If a cannonball of mass 25 kg is fired straight up at an initial velocity of 8 m / s, the maximum height it can reach is 3.27 m

v² = u² + 2 a s

v = Final velocity

u = Initial velocity

a = Acceleration

s = Distance

u = 8 m / s

a = - 9.8 m / s²

At maximum height,

v = 0

Using the equation from equations of motion,

0 = 8² + ( 2 * - 9.8 * s )

19.6 s = 64

s = 3.27 m

Therefore, the maximum height it can reach is 3.27 m

To know more about equations of motion

https://brainly.com/question/5955789

#SPJ1

Work is performed by him is zero.

Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance traveled for a constant force directed in the direction of motion.

Given in the question a force of 1200 N crate but it doesn't move.

Work = force x distance. In units, Joules = Newtons x meters.

So: Work = 1200 Newtons x 0 meters

Work  = 0 joules.

Work is performed by him is zero.

To learn more about work refer to the link:

brainly.com/question/18094932

#SPJ1

As the elevator moves upward, the cables are under 1,960 N of tension.

The given parameters are,

The mass of the elevator (m) = 200 kg

According to Newton's Second Law of Motion, an object's force is directly inversely proportional to its mass times its acceleration.

The tension in the cables as the elevator travel upwards is calculated by applying the 2nd law of Newton,

T = ma +mg

where a is the acceleration of the elevator and g is the acceleration due to gravity,

At constant velocity, acceleration is zero. (a =0)

T = m(0) +mg

T = mg

T = 200*9.8

T = 1,960 N

Thus, As the elevator moves upward, the cables are under 1,960 N of tension.

To read more about tension, visit https://brainly.com/question/11348644

#SPJ1

A helicopter is a type of aircraft which uses spinning blades ( wings) to fly .

Answer:

9800J

Explanation:

It appears that potential energy is given to the object, so to calculate total energy in the system, we can use the potential energy formula

Potential energy = 250 kg • 9.8 m/s/s • 4 m

Potential energy = 9800J

You'll notice that the equation for the potential energy and work in this scenario is the same due to the fact that force would be equal to mass multiplied by gravity anyway.

Assuming the system has 100% efficiency, the total kinetic energy will be equivalent to the potential in the system currently

If the spring is pushed with a constant force of 4 N force directed parallel to the surface, the spring will be compressed by 0.5 m at the next instant the box is at rest.

Us = 1 / 2 k x²

W = F x

Us = Potential energy of the spring

k = Spring constant

x = Displacement

F = Force

W = Work done

k = 32 N / m

F = 4 N

xi = 0.5 m

According to law of conservation of energy,

Change in potential energy = Total Work done by the force

1 /2 k xf² - 1 / 2 k xi² = F xf + F xi

1 / 2 * 32 ( xf² - 0.5² ) = 4 ( xf + 0.5 )

4 ( xf² - 0.25 ) = xf + 0.5

4 xf² - xf - 1.5 = 0

This is in the form of a quadratic equation,

x = - b ± √ ( b² - 4 a c ) / 2 a

a = 4

b = - 1

c = - 1.5

xf = - ( - 1 ) ± √ [ ( - 1 )² - ( 4 * 4 * -1.5 ) ] / ( 2 * 4 )

xf = 1 ± √ 25 / 8

xf = 1 ± 5 / 8

xf = 0.75 or - 0.5

Since it is compressed,

xf = - 0.5 m

Therefore, the spring will be compressed by 0.5 m at the next instant the box is at rest.

To know more about Potential energy of the spring

https://brainly.com/question/16870055

#SPJ4

Option c. It is increased by 2.

Heat generation that is thermal capacity of an object is dependent on mass. So if the mass of an object increases, the heat generation also increases.

How thermal capacity is related to mass?

Thermal capacity= mass × specific heat

As we can see by the formula, that the thermal capacity is directly proportional to mass. So if the mass of the object increases, so does the thermal capacity.

To know more about thermal capacity, click on

https://brainly.com/question/27991746

#SPJ4

The answer is C:

It increased by a factor of 2.

Given:

• q1 = +8.60 x 10⁻⁶ C

• q2 = +5.10 x 10⁻⁶ C.

• q3 = -3.30 x 10⁻⁶ C.

• d12 = 0.350 m

• d23 = 0.155m

Let's find the magnitude of the net force on q2.

First find the force on the charge 1 and 2:

Also for the force on charge 2 and 3, we have:

Now, the magnitude of net force on q2 will be:

Therefore, the magnitude of the net force on q2 is 7.08 N.

• ANSWER:

7.08 N

Q = m c Δt is the formula used to determine the energy released when a certain amount of fuel is burned.

To calculate the amount of energy required to raise the temperature of a known mass of a substance, we can use the specific heat formula:

Q = m × c × ΔT

In the formula for specific heat, the letters Q, m, c, and ΔT stand for the quantities that represent the energy transferred in joules, the mass of the substances in kilograms, the specific heat capacity in J/kg degrees C, and the change in temperature in degrees Celsius respectively.

Distinct materials have different relationships between heat energy and temperature, and the term "specific heat" summarizes how these relationships play out. When heat energy is delivered to a substance, its temperature will vary by a certain amount.

To read more about energy, visit https://brainly.com/question/1831490

#SPJ1

The statement that best summarizes the difference between the two diseases is viruses are not living organisms, but bacteria are living. The correct option is b.

Bacteria are living organisms, and they are both bad and good, they come under archaea. They are present everywhere on earth. Viruses are a non-living entity, and it only gets alive when it gets a living body or host.

Since bacteria can also proliferate, not just viruses, there is no difference. There is something known as "good bacteria," but the virus is frequently the one that is more hazardous.

Therefore, the correct option is b. Viruses are not living organisms, but bacteria are living.

To learn more about viruses and bacteria, refer to the link:

https://brainly.com/question/21825429

#SPJ1

The question is incomplete. Your most probably complete question is given below:

a. Viruses can replicate because they are living organisms, while bacteria cannot.

b. Viruses are not living organisms, but bacteria are living.

c. Viruses can be beneficial to living organisms, but bacteria are often infectious.

d. Viruses are living organisms, while bacteria are not.

Answer: 0.4299s.

Explanation: To find the angular acceleration ,Newton's second angular law will be used.

τ = I α

Wr = I α

The weight is applied in the middle of the pencil , sin 10 = r / (L/2).

r = L/2 sin 10

the moment of inertia will be: I = 1/3 M L²

mg L / 2 sin 10 = (1/3 m L²) α  

αf = 3/2 g / L sin 10

α  = [3/2 × 9.8] / [0.150 sin10]

α  = 17 rad/s²

angle from the vertical to the ground θ = π / 2

t = √ (2 π / (2 α ))

t = √(π / α )

t = √(π / 17)

t = √3.142 / 17

t = 0.4299s

Find more:- brainly.in

#SPJ4

Answer:

-199 m/s

Explanation:

Ignoring the horizontal velocity, the vertical velocity =

a *t       a = -9.81 m/s^2

-9.81 ( 4.5^2)  = - 199 m/s

S=d/t

S=2/16

S=0.125m/s

When the voltage in a circuit is increased, the current flowing in the circuit will also increase

Ohm's law states that the current flowing through a metallic conductor is directly proportional to the voltage provided all physical properties like resistance remains constant This is represented mathemathically as:

Voltage (V) = Current (I) × resistance (R)

V = IR

If R is constant, then

V₁ / I₁ = V₂ / I₂

Where

Now, let us see what will happen to the current when we increase the initial voltage, say by a factor of 2. This is illustrated below:

V₁ / I₁ = V₂ / I₂

V / I = 2V / I₂

Cross multiply

V ×  I₂ = I × 2V

Divide both sides by V

I₂ = (I × 2V) / V

I₂ = I × 2

I₂ = 2I

Thus, we can see that the new current also increase by a factor of 2

Learn more about current and ohm's law:

https://brainly.com/question/11420583

https://brainly.com/question/4057178

#SPJ1

The maximum electric field strength is f=1.98×10⁵

The magnetic field of a plane-polarized electromagnetic wave moving in the z-direction is given by :

B=1.2×10⁶ sin[2π(Z/240-10⁷t/8)].....(1)

The general equation of the magnetic field wave is given by :

B=B°sin(kz-wt) ....(2)

Equation (1) is in form of equation (2), if we compare equations (1) and (2) we find that,

w=10⁷/8

We need to find the frequency of the wave. It is given by :

f=w/2π

f=10⁷/8×2π

f=1.98×10⁵ Hz

So, the frequency of the wave is f=1.98×10⁵ Hz.

Learn more about the Magnetic field here:

https://brainly.com/question/29221751

#SPJ4

Answer (with explanation):

BMI = body composition

formula to find BMI = weight/height^2

so for example:

weight = 50kg and height = 150cm = 1.5m (make sure convert cm to m)

BMI = 50/(1.5)^2 = 50/2.25 ≈ 22.22

so the BMI would be about 22.22

Using the theories of solar system, we got that at stage-2 of solar system formation is the sun extremely active and gas is blown out to the outer solar system by the suns radiation pressure and strong solar wind.

Protostar is created as the gas collapsed over the time, it became denser and hotter. Over time, the spherical inner core started forming, which was hotter than rest of the star.

Most of the collapsing mass which is collected in the center, forming the Sun, while the rest of the mass flattened into a protoplanetary disk out of which the planets, moons.

Hence, the stage of solar system formation in which  the sun extremely active and gas is blown out to the outer solar system by the suns radiation pressure and strong solar wind is stage-2.

To know more about solar system, visit here:

https://brainly.com/question/12075871

#SPJ4

*The mass of the cart is

m=5 kg

*The acceleration is

The rocket's hang time if it is launched with horizontal velocity of 42.3 m / s and a vertical velocity of 78% is 30.53 s

If vertical velocity is 78 % then the horizontal velocity must be 22 %

So 1 % = 42.3 / 22 = 1.92 m / s

Vertical velocity = 78 * 1.92

Vertical velocity = 149.97 m / s

Initial velocity, u = √ uy² + ux²

u = √ ( 149.97 )² + ( 42.3 )²

u = √ 22491.82 + 1789.29

u = 155.82 m / s

tan θ = uy / ux

tan θ = 149.97 / 42.3

tan θ = 3.55

θ = 74.3°  

a ) Hang time,

T = 2 u sin θ / g

T = 2 * 155.82 * sin 74.3° / 9.8

T = 30.53 s

b ) Maximum vertical displacement,

H = u² sin²θ / 2 g

H = 155.82² sin²( 74.3 ) / 2 * 9.8

H = 644.16 m

c ) Maximum horizontal displacement,

R = u² sin 2θ / g

R = 155.82² sin² ( 74.3 ) / 9.8

R = 2283.3 m

Therefore,

a ) Hang time = 30.53 s

b ) Maximum vertical displacement = 644.16 m

c ) Maximum horizontal displacement = 2283.3 m

To know more about projectile motion

https://brainly.com/question/11049671

#SPJ4

The weight of a girl would be 294 N on Earth with a mass of 30 Kg.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

The weight on Earth of a girl would be the product of the mass and acceleration due to gravity on Earth

So the required solution would be:

⇒ weight  = mass × acceleration due to gravity on Earth

⇒ weight  = 30 × 9.8

⇒ weight  = 294 N.

Hence, the weight of a girl would be 294 N on Earth with a mass of 30 Kg.

Learn more about weight refer: brainly.com/question/25834626

#SPJ1

The energy released by a burning sample of fuel is 8400 J.

The formula referenced in the question is:

Q = m.c.ΔT

where m is the mass  of the water sample

c is the specific heat capacity of  water

ΔT is the variation in temperature

Q is the thermal energy

According to the question,

c = 4,200 J/kg °C

ΔT = 20 °C

m = 100 g = 0.1 kg

On Solving, we put these values in the formula to evaluate the thermal energy,

Q = 0.1 * 4,200*20 = 8400 J

Thus, the energy released by a burning sample of fuel is 8400 J.

To read more about energy, visit https://brainly.com/question/1932868

#SPJ1

Given data

*The given frequency is

*The another given frequency is

*The given speed of light is c = 3.0 × 10^8 m/s

(a)

The formula for the wavelength is given as

Substitute the known values in the above expression as

The another wavelength for the another frequency is calculated as

(b)

Radio spectrum is an electromagnetic spectrum where the frequency range belongs of wireless telecommunication.

Given:

The gravitational constant, G=6.67259×10⁻¹¹ N·m²/kg⁻²

The mass of the moon, M=7.36×10²² kg

The radius of the orbit of the satellite, R=955.2 km=955.2×10³ m

To find:

1. Satellite's speed.

2. The period of satellite.

3. The acceleration of the satellite.

Explanation:

1.

The gravitational force applied by the moon on the satellite provides the satellite with the centripetal force that is neccessary for the satellite to orbit the moon.

Thus,

Where F_c is the centripetal force, F_g is the gravitational force, and v is the orbital velocity of the satellite.

On substituting the known values,

2.

The orbital period of the satellite in seconds is given by,

Thus the period of the satellite in hours is given by,

On substituting the known values,

3.

The acceleration of the satellite is given by,

On substituting the known values,

Final answer:

1. The orbital velocity of the satellite is 23267.46 m/s

2. The period of the satellite is 0.74 hr

3. The acceleration of the satellite is 5.38 m/s²

One very good example of kinds of economic activities simply is buying and selling goods.

Economics simply refers to the study of social science which human relationship in relationships with ends and and scarce means which have alternative uses.

However, economics from the description above also involves the buying and selling of goods or products. These selling of these goods is also a function of the quantity demanded.

In conclusion, we can now confirm and deduce from the explanation given above that we the quantity of goods demanded will determine its sales.

Read more on economics:

https://brainly.com/question/17996535

#SPJ1

No, they will not be able to clear the hurdle from the given distance of their leap.

Projectile motion includes vertical and horizontal velocity components. It's important to understand that the two are independent of each other. But what is a projectile and what is a good example. Well, a projectile is an object that is thrown by applying a force that falls under gravity and is subject to the resistance of the medium in which it travels. It can be thrown into the air and fall under the influence of gravity.

First of all the time required to reach the hurdle is:

by using horizontal velocity we have time = [tex]\frac{distance}{speed}[/tex]

t = [tex]\frac{0.400}{4}[/tex]

t = 0.100s

Now for the vertical distance covered by student:

S = ut + [tex]\frac{1}{2}[/tex] gt²

S = 9 × 0.100 +  [tex]\frac{1}{2}[/tex] 9.8 × 0.100²

S = 0.851m or 85.1cm

Since the distance calculated is less than the height of hurdles which is 91.4 cm so the student may not be able to clear the hurdle.

To know more about projectile motion visit:

https://brainly.com/question/11049671

#SPJ4

Answer:

Explanation:

Given:

V₀ = 20 m/s

α = 15°

___________

Vy - ?

Vy = V₀·sin α  = 20·sin 15° = 20·0.2588 ≈ 5.2 m/s

Answer: A frame of reference is a set of criteria or stated values in relation to which measurements or judgements can be made. A reference point is an object that happens to be at rest. Given an example Car A and Car B are moving but without a reference you would not be able to know the car that is moving but with a signboard you can be able to tell which Car moved forward or backward.

Explanation:

Hope this was helpful

Explanation:

mass = newton ÷ g

m = 1025 ÷ 10

mass= 102.5kg

The possible genotypes and phenotypes of their children and the percent chance for each is 0%.

If such people cross each other:

Parents X Parents

gamma r r

Children rr

That results in :

The possible genotypes and phenotypes of their children and the percent chance for each is 0%.

To know more about traits :

https://brainly.com/question/1463051

#SPJ4

The rotational inertia of the wheel is 1.344 × 10⁻⁴ kgm²

Rotational inertia of an object is the measure of the ability for the object to rotate about an axis which may or may not pass thorugh the object.

Since in one type of wagon wheel consists of a 2.0-kg hoop fitted with four 0.80-kg thin rods placed along diameters of the hoop so as to make eight evenly spaced spokes and for a hoop of radius 0.40 mm, we need to find the rotational inertia of the wheel about an axis perpendicular to the plane of the wheel and through the center?

The rotational inertia of the wheel is given by I = I₁ + I₂ where I₁ = rotational inertia of hoop = and I₂ = rotational inertia of thin rods

Now the rotational inertia of the hoop is, I₁ = m₁r² where

Also, the rotational inertia of each thin rod is I₃ = m₂L²/2 where

Since there are four thin rods, I₂ = 4I₃

= 4m₂L²/2

= 2m₂L²

= 2m₂(2r)²

= 2m₂(4)r²

= 8m₂r²

So, I = I₁ + I₂

I = m₁r² + 8m₂r²

I = (m₁ + 8m₂)r²

So, substituting the values of the variables into the equation, we have

I = (m₁ + 8m₂)r²

I = (2.0 kg + 8 × 0.80 kg)(0.004 m)²

I = (2.0 kg + 6.4 kg)(0.000004 m²)

I = (8.4 kg)(0.000016 m²)

I = 0.0001344 kgm²

I = 1.344 × 10⁻⁴ kgm²

The rotational inertia of the wheel is 1.344 × 10⁻⁴ kgm²

Learn more about rotational inertia of wheel here:

https://brainly.com/question/25269078

#SPJ1