A ball is shot horizontally at 17.3m/s from the roof of a building 55.2 m tall, (use g = 9.8 m/s ^ 2) How far from the base of the building does the ball land?

Answer:

The ball was 1.01 seconds in the air

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed v from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:

[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]

If we know the value of d and h, we can solve the equation for v:

[tex]\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}[/tex]

Since the horizontal speed is constant, we can calculate the time the ball was in the air by using the equation:

[tex]\displaystyle t=\frac{d}{v}[/tex]

The ping pong ball rolls from a height of h=5 m and lands on the floor a distance of d= 3 m away from the table. Calculate the speed:

[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{2\cdot 5}}[/tex]

[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{10}}[/tex]

Calculating:

[tex]v=2.97\ m/s[/tex]

Now calculate the time:

[tex]\displaystyle t=\frac{3}{2.97}[/tex]

[tex]t=1.01\ sec[/tex]

The ball was 1.01 seconds in the air

Note: The time does not depend on the distance d at all. If we borrow the equation from free-fall motion, the time can be calculated with:

[tex]\displaystyle t=\sqrt{\frac {2h}{g}}=\sqrt{\frac {10}{9.8}}=1.01\ sec[/tex]

Answer:

The work done will be 0.115 J.

Explanation:

Given that,

[tex]k=100\ N/m[/tex]

[tex]b=700\ N/m^2[/tex]

[tex]c=12000\ N/m^3[/tex]

A force along the x-axis with x-component,

[tex]F(x)=kx-bx^2+cx^3[/tex]

Suppose, How much work must be done to stretch this spring by 0.050 m from its unstretched length?

We need to calculate the work done

Using formula of work done

[tex]W(x)=\int{F(x)dx}[/tex]

Put the value into the formula

[tex]W(x)=\int{(kx-bx^2+cx^3)dx}[/tex]

[tex]W(x)=\dfrac{kx^2}{2}-\dfrac{bx^3}{3}+\dfrac{cx^4}{4}[/tex]

Put the value of k,b,c and x

[tex]W(0.050)=\dfrac{100\times(0.050)^2}{2}-\dfrac{700\times(0.050)^3}{3}+\dfrac{12000\times(0.050)^4}{4}[/tex]

[tex]W(0.050)=0.115\ J[/tex]

Hence, The work done will be 0.115 J.

The value of spring displacement is greater than zero. Therefore, spring is stretched.

  It is given as,  [tex]F=kx[/tex]

Where k is constant and x is amount of displacement.

The force function is given that,

       [tex]F(x)=kx-bx^{2}+cx^{3}[/tex]

Here given that,  [tex]k=100N/m, b=700N/m^{2} , c=12000N/m^{3} .[/tex]

Substitute all values in above equation,

           [tex]F(x)=100x-700x^{2} +12000x^{3}[/tex]

To check, the spring is stretched or it is compressed.

Substitute f(x) = 0

          We get x is greater than zero.

Thus, The value of spring displacement is greater than zero. Therefore, spring is stretched.

Learn more about the spring force here:

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Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

From the question

mass = 1.7 × 10³ kg = 1700 kg

acceleration = 4.75 m/s²

We have

force = 1700 × 4.75

We have the final answer as

Hope this helps you

Answer:

none of the answers are correct

Explanation:

Lithium = 3

Berillium = 4

Boron = 5

Carbon = 6

Given parameters:

Acceleration of the car = 1.6m/s

Initial speed  = 80km/hr

Final speed  = 110km/hr

Solution:

Time taken to achieve this speed = ?

Solution:

Acceleration is the rate of change of velocity with the time taken.

  Mathematically;

     a  = [tex]\frac{V - U}{T}[/tex]

where a is the acceleration

           V is the final velocity

           U is the initial velocity

           T is the time taken

Now make the unknown time the subject of the expression;

      aT  = V - U

         T = [tex]\frac{V - U}{a}[/tex]  

Convert the given acceleration to km/hr;

       1.6m/s  = 1.6 x [tex]\frac{m}{s}[/tex]  x [tex]\frac{1km}{1000m}[/tex] x [tex]\frac{3600s}{1hr}[/tex] = 5.76km/hr

Input the parameters and solve;

       T = [tex]\frac{110 - 80}{5.76}[/tex]  = 5.2hrs

The time taken is 5.2hrs

Answer:

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]acceleration = \frac{force}{mass} \\[/tex]

From the question

force = 172 N

mass = 51 kg

We have

[tex]acceleration = \frac{172}{51} \\ = 3.372549019...[/tex]

We have the final answer as

Hope this helps you

Answer:

i put cereal first

Explanation:

cereal

Answer:

3.4seconds

Explanation:

if a dollar was times for how long it would fall down to its length it would be 3.4 seconds

Answer:

45m above the ground

Explanation:

got it right on Edg 2020

Answer:

1. 7

2. Mass

3. (b) Distance

4. (b) Force

5. (a) ML⁻¹T⁻²

6. (c) M⁻¹LT²

7. (c) M⁻¹L³T⁻²

8. (c) Pressure

9. (c) Young's modulus

10. (b) zero

11. (c) Infinite

12. (d) 1:4

13. (b) 0.6 J

14. (c) 45 N

15. (a) 0.4 cc

16. (a) 176.7 °F

17. (a) 10°C

18. (c) 50 K

19. b. H

Explanation:

15. Whereby the compressibility = 4 × 10⁻⁵ Pa⁻¹

The compression ratio for 100 Pa = 4 × 10⁻⁵ × 100 = 4 × 10⁻³

The Change for 100 cc = 4 × 10⁻³ × 100 cc = 0.4cc

Answer:

Li⁻

Explanation:

# of protons = # element on the Periodic Table.

# of protons (+) + # of electrons (-) = overall charge

3 protons is the 3rd element on the Periodic Table: Lithium

All elements on the Periodic Table have a neutral charge. Lithium neutral has 3 protons and 3 electrons.

We are given 4 electrons; 3 + -4 = -1 charge overall.

Therefore, our ion is Li⁻

Answer:

metamorphic rock

Explanation:

Igneous rocks can be changed into metamorphic rocks when heat and pressure are applied to the rock.

Pressure and heat in the presence of a fluid phase cause metamorphic transformation of a prolith.

Through heat and pressure, igneous rocks can be transformed into metamorphic rocks.  

Answer:

classic sedimentary rock

Explanation:

Answer:

i think its  Russia, USA, Germany.

Answer:  The 7.3 earthquake carries more energy

Explanation:

Because, it has a higher amplitude

Answer:

the number of loops in the coil and the electric current.

Explanation:

Just took the test and got it correct.

Answer:16 J

Explanation:

Work done = force × displacement

In this case the body has been displaced to a height

This is how you calculate his speed, for the 100metres. That is, the average speed for the entire distance, including the start from intertia until the race end where the athlete is decelerating. Multiply the time by 10, and divide 3600 by that figure. i.e. 10 by10 equals 100. Divide 3600 by 100 and you get 36 which is the speed figure you requested.

A female athlete ran 200 metres a few years ago and in the middle section of the race covered 100 metres in that race in a time under 10 seconds. That is, she ran a sub 10second 100metres from a flying start. This great athlete from Slovenia, also ran a 100 metre race (from a stationary start) in a time under 11 seconds, when she was 48 years of age. Her name is Merlene Ottey.

Answer:

Explanation:

The work done by an object can be found by using the formula

From the question

force = 1,000 N

distance = 20 m

We have

workdone = 1000 × 20

We have the final answer as

Hope this helps you

Answer: malleability

Explanation:

Answer:It's B energy is absorbed by the reaction,hope this helps

Explanation:

Any reaction in which energy is absorbed is said to be endothermic. Hence, option B is correct, but the rest are not correct.

In every chemical process, energy is involved. When new bonds form in products, energy is produced. Reactant bonds are broken using energy. Exothermic reactions are those that produce more energy when new bonds form in the products than is needed to break existing bonds in the reactants.

In contrast, endothermic reactions are the opposite. Endothermic reactions release more energy when new bonds form in the products than is required to break bonds in the reactants.

During the reaction, a large amount of energy is absorbed.

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Answer:

Explanation:

1.wrap bar magnet in a plastic baggie and remove the iron filings from the mixture by using a bar magnet. Place a small piece of scrap paper on the scale and “tare” the scale. Then place filings on the scrap paper and record (e) the mass of the iron filings. Don't throw out the iron–save it to be recollected.

2.When sand is added to water it either hangs in the water or forms a layer at the bottom of the container. Sand therefore does not dissolve in water and is insoluble. It is easy to separate sand and water by filtering the mixture. Salt can be separated from a solution through evaporation.

3.Sand (mostly silicon dioxide) is not.

Pour the salt and sand mixture into a pan.

Add water. ...

Heat the water until the salt dissolves. ...

Remove the pan from heat and allow it to cool until it's safe to handle.

Pour the salt water into a separate container.

Now collect the sand.

Pour the salt water back into the empty pan.

Heat the salt water until the water boils. Continue boiling it until the water is gone and you're left with the salt.

Another way you can separate the salt water and sand is to stir up the sand/salt water and pour it through a coffee filter to capture the sand.

Answer:

1. Separating iron from mixture

2. Separating sand from mixture

3. Separating Salt mixture

Answer:

A: speed and direction

Answer:

Hope this helps!~ (Sorry if you get it wrong or I got it wrong-)

Explanation:

The standard SI unit for magnetic field is the Tesla, which can be seen from the magnetic part of the Lorentz force law Fmagnetic = qvB to be composed of (Newton x second)/(Coulomb x meter). A smaller magnetic field unit is the Gauss (1 Tesla = 10,000 Gauss).

~The Confuzzeled homan

Hydrogen and all of the other elements in orange boxes are non metals and is denoted as option D.

These are elements which lack metallic properties and usually have low thermal and electrical conductivity.

In the periodic table, they are represented by orange together with hydrogen hence the reason why it is the most appropriate choice.

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Answer:

C

Explanation:

Answer:

In the case of an electric bulb, the electrical energy is converted to light and heat. The amount of electrical energy put into a bulb = the amount of light energy (desirable form) plus the heat energy that comes out of the bulb (undesirable form).

Explanation:

sana nakatulong)):