Using the data provided in the graph and the table, interpolate to find the potential energy (U) at a height (H) of 2.5 meters and extrapolate to find the potential energy at a height of 4.5 meters.


At 2.5 meters, the potential energy would be 45 joules, and at 4.5 meters, it would be 85 joules.


At 2.5 meters, the potential energy would be 50 joules, and at 4.5 meters, it would be 90 joules.


At 2.5 meters, the potential energy would be 55 joules, and at 4.5 meters, it would be 95 joules.


At 2.5 meters, the potential energy would be 70 joules, and at 4.5 meters, it would be 100 joules.

The kinematics allows finding the result for the height of the cliff so that the bodies go down together is: 1,533 m

Kinematics studies the movement of bodies, finding relationships between the position, velocity and acceleration of bodies

In this case the bodies are thrown vertically so their acceleration is the gravity acceleration, directed downwards.

Let's set a reference system with the positive upward direction and zero at the base of the cliff, let's use the subscript 1 for the body that comes out from the bottom of the cliff and the subscript 2 for the body that comes out of the top, the equations for each body they are:

body 1

            [tex]v_1^2 = V_{o1}^2 - 2g (y_1-y_{o1} )[/tex]

body 2

             [tex]v_2^2 = v_{o2}^2 - 2g (y_2-y_{o2})[/tex]

In this case they indicate the initial velocities of each body, [tex]v_{o1}[/tex] = 80 m/s and [tex]v_{o2}[/tex] = 50 m/s, the initial height [tex]y_{o1}[/tex] = 0 and [tex]y_{o2}[/tex] = h, when the bodies fall at the same time they must begin to descend from the same height

            y₁ = y₂

The velocities at this point must be zero

          v₁ = v₂ = 0

We substitute

            0 = [tex]v_{o1}^2 - 2 g y[/tex]

            0 = [tex]v_{o2}^2 - 2 g ( y + h)[/tex]  

Let's solve the system of equations

            [tex]h = \frac{v_{o1} - v_{o2}}{2g}[/tex]  

Let's calculate

            h = [tex]\frac{80-50}{2 \ 9.8}[/tex]

            h = 1.53 m

Consequently, the kinematics allows finding the result for the height of the cliff so that the bodies go down together is: 1.53 m

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Answer:

[tex]F= \frac{GmM}{ {r}^{2} } [/tex]

G= gravitational constant

F= Gravitational force

m= mass of object 1

M= mass of object 2

r= distance between two objects

a)

Answer:

Using Pythagorean Theorem.

[tex]F_{R} = \sqrt{Fn^{2} + Fe^{2} } \\\\ F_{R} = \sqrt{52.7^{2} + 91^{2} }\\\\ F_{R} = 105.16N[/tex]

b)

Answer:

[tex]tan^{-1} \frac{opp}{adj} \\ \\ tan^{-1} \frac{52.7}{91} \\ \\ = 30.08^{o}[/tex]

The resultant force of the two forces which are acting perpendicular to each other is 105.15 N and the direction is 59.91 ° from east.

Force is an external agent acting on a body to change it from the state of motion or rest. If two forces acting on a body and both are applied in the same direction, the resultant force will be the sum of two forces in magnitude.

If the two forces are in opposite directions, then the resultant force will be the substracted value of their magnitude. If one force is to the north and other is to the east, then they are perpendicular to each other.

Hence, to find the resultant force we can use the Pythagoras theorem for right angled triangle. The hypotenuse will be the resultant force.

Resultant force = √ (52.7² + 91² )

                          = 105. 15 N.

The direction of the force = Tan ⁻¹ (91 / 52.7 )

                                           = 59.91 ° from east to north.

Hence, the resultant force is 105.15 N with a direction of 59.91 ° from east.

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After we eat, our glucose levels rise when carbohydrates are fully broken down. This alarms beta cells (in the pancreas) to release insulin into our bloodstream and altogether insulin allows the glucose to enter our cells and be utilized for energy. Some carbs are used for energy and the rest is stored as fat!

Hope I helped in some way :)

Hello!

We can begin by summing the forces acting on each mass. (Tension is CONSTANT because the string is both frictionless and massless).

On the 3 kg block: (Ignore forces acting in the vertical direction since there is no motion in that axis)

∑F = -M₁gsinФ + T

On the 8 kg block:

∑F = -T + M₂g

Sum the forces:

∑F = -M₁gsinФ + T -T + M₂g

∑F = -M₁gsinФ + M₂g

Divide by both masses to get the acceleration:

[tex]a = \frac{-M_1gsinФ + M_2g}{m_1+m_2}[/tex]

Plug in values: (g = 10m/s²)

[tex]a = \frac{-(3)(10)(sin30)+8(10)}{3+8} = 5.91 m/s^2[/tex]

Answer:

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Explanation:

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[tex]\color{Black}\huge{Answer} [/tex]

Answer: KE = 34.425 kJ

Explanation:

KE = (1/2) mv^2

KE = (0.5)*(34kg)(45m/s)^2

KE = (0.5)*(34kg)(2025m^2/s^2)

KE = 34425 kg*m^2/s^2

1 Joule = 1 kg*m^2/s^2

KE = 34.425 kJ

Answer:

where is the question girl

Answer:

In case of uniformly accelerated motion along a straight path

Explanation:

[tex]\sf{}[/tex]

hope it's helpful to you ☺️

Answer:

the correct answer is False

Explanation:

i hope its right

Answer:

ionic bonds are formed between cations and anions

Explanation:

A cation is formed when a metal ion loses a valence electron while an anion is formed when a non-metal gains a valence electron. They both achieve a more stable electronic configuration through this exchange.

Answer:

60 seconds

Explanation:

bxdnfjrjrjjrjrjrj

Hi there!

When finding work (J) given force (N), we use the equation:

W = FdcosФ <-- Only take into account the force in the direction of motion

Plug in the given values:

W = 27(32)cos(20) = 811.89 J

Explanation:

Here,

Given that,

pulls a wagon a distance of 32 meters the handle is above an angle of 20 degrees above horizontal if you pull on it with a force of 27 N

To find,

As we know that,

[tex]{\boxed{\sf{W=f.d.cos\theta }}}[/tex]

According to the question,

[tex]W=27(32)cos{20}\\\\w=811.89J[/tex]

Answer:

static friction will be your answer

Ruminants are the mammals that can digest cellulose from plant and chew the cud

aii Cow and goat

bi A force is a push or pull upon an object resulting from the object interaction with another object

bii 1 Changes it's shape or size

2 To start moving

3 To stop moving

4 To accelerate or decelerate

biii Proton neutron and electron

Answer:

Same answer please. Hope it helps.

The two parts of a Lewis dot structure for are the symbol of the element and the dots representing valence electrons around the symbol.

The Lewis dot structure is a representation of an element using its symbol as well as dots to show valence electrons. The Lewis dot structure helps us to see the number of valence electrons in chemical species.

There are two main parts of a dot electron structure or Lewis structure of a chemical specie and they are;

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The type of intelligence required by a profession depends on its job description. Lawyers most likes have analytical intelligence.

A renowned psychologist named Howard Gardner devised a theory of multiple intelligence. This means that nobody is really not intelligent because a person must posses one or more of these multiple intelligence.

A lawyer has a lot to do with analytic reasoning and comparison of evidence to determine their validity. This task requires a strong analytical mind hence a lawyer requires analytical intelligence.

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The impedance of the given AC circuit containing resistor and inductor parallel to each other is 55.71 ohms.

The given parameters;

The inductive reactance is calculated as follows;

[tex]\omega _l = 2\pi fl\\\\\omega _l = 2\times 3.142 \times 2,000\times 10\times 10^{-3} = 125.68 \ ohms[/tex]

The impedance is the total opposition to the flow of current in the AC circuit and it is calculated as follows;

[tex]Z _{total} = \frac{1}{\frac{1}{Z_l} + \frac{1}{Z_R} } \\\\Z _{total} = \frac{1}{\frac{1}{125.68} + \frac{1}{100} }\\\\Z _{total} = 55.71 \ ohms[/tex]

Thus, the impedance of the given circuit is 55.71 ohms.

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Answer:

can u help me with this too, i currently have it in an assignment and i dont know the answer

Explanation:

Explanation:

the correct answer is Option 5.√½gh.

hope this helps you.

Answer:

Below

Explanation:

Here is what we are given in the problem :

dy = - 1.0 m (this is negative because the cat falls)

Vx = 5.0 m/s

We can use this equation to find the time that it will take the cat to fall :

     t = √-2dy / g

     t = √-2(-1.0) / 9.8

     t = √0.20408

     t = 0.45 (round this to 2 sig figs)

    t = 0.5 seconds

Now we can find dx (distance in the x direction)

     dx = vx (t)

     dx = (5.0m/s)(0.45s)

     dx = 2.258769 m

     dx = 2.3 m

Hope this helps! Best of luck <3

Answer:

Online.Vs. In person for what exams board ones?

Explanation:

to do that

so number 1=64

2=15

It is because the effort distance is greater than the load distance

Explanation:

As we know, Effort×effort distance = load × load distance

So when effort distance is increases,

The effort decreases

So when the spanner’s handle is long

A tight knot can easily be opened by less effrot

I hope it helped

Answer:

điện giữa chúng s

Explanation:

Answer: The  dependent variable. Dependent variables (DV): These are the factor that you observe or measure.

Explanation:

These are the factors or conditions that you manipulate in an experiment. Your hypothesis is that this variable causes a direct effect on the dependent variable. Dependent variables (DV): These are the factor that you observe or measure.

Answer:

I believe the answer succumbs to the hypothesis. More over, I actually believe the answer should be the independent variable since that makes so much more sense.

Explanation:

Answer:

sound energy and thermal energy due to friction

Explanation:

Answer:

.5 kg per page

Explanation:

250/500= .5 kg

Hi there!

We can use the equation:

∑F = ma, where:

∑F = net force (N)

m = mass (kg)

a = acceleration (m/s²)

Rearrange in terms of acceleration:

∑F/m = a

Plug in the given values:

44.5/52 = 0.856 m/s²