Olive Udadi Is At The Park With Her Father. The 26-kg Olive Is On A Swi…

Olive Udadi is at the park with her father. The 26-kg Olive is on a swing following the path as shown. Olive has a speed of 0 m/s at position A and is a height of 3.0-m above the ground. At position B, Olive is 1.2 m above the ground. At position C (2.2 m above the ground), Olive projects from the seat and travels as a projectile along the path shown. At point F, Olive is a mere picometer above the ground. Assume negligible air resistance throughout the motion. Use this information to fill in the table. (TME=total mechanical energy)

Answer:

A. PE = 764.4 J , KE = 0 J , TME = 764.4 J

B. PE = 305.76 J , KE = 44,946.72 J, TME = 45,252.48 J

C. PE = 560.56 J , KE = 7191.48 J, TME = 7752.04 J

F. PE = 0J , KE = 44,946.72 J, TME = 44,946.72 J

Explanation:

In this problem, we are to fill a table about the potential and kinetic energy of Olive as well as her total mechanical energy. In computing the total mechanical energy (TME), we will just add PE and KE.

Formula to use

a. PE = mgh

where

PE     is the potential energy, the unit is in Joules (J)

m      is the mass, the unit is in kg

g       is the Earth’s pull of gravity, 9.8 m/s²

h        is the height, the unit is in meter (m)

b. KE = ¹/₂mv²

where

KE     is the kinetic energy

v        is the velocity, the unit is in m/s

c. TME = PE + KE

where

TME     is the total mechanical energy

Solving the information

See also  Hoop Sa Engles Maaaring Gawa Sa Kakoy Plastic O Metal

Let us solve the following requirements to fill the table using the three given formula.

At point A:

PE = mgh = (26 kg)(9.8 m/s²)(3 m) = 764.4 J

KE = ¹/₂mv² = ¹/₂(26 kg)(0)² = 0 J

TME = PE + KE = 764.4 J + 0 = 764.4 J

At point B:

PE = mgh = (26 kg)(9.8 m/s²)(1.2 m) = 305.76 J

To solve for the velocity at point B, take note that PE at point A is equivalent to KE at point B. Therefore,

PE = KE

mgh = ¹/₂mv²

Simplify

2gh = v²

v = [tex]\sqrt{2gh}[/tex]

substitute the given data

v = [tex]\sqrt{2(9.8)(3)}[/tex]

v = 58.8 m/s

KE = ¹/₂mv² = ¹/₂(26 kg)(58.8 m/s)² = 44,946.72 J

TME = PE + KE = 305.76 J + 44,946.72 J = 45,252.48 J

At point C:

PE = mgh = (26 kg)(9.8 m/s²)(2.2 m) = 560.56 J

To solve for the velocity at point C, take note that PE at point B is equivalent to KE at point C. Therefore,

PEb = KEc

mgh = ¹/₂mv²

Simplify

2gh = v²

v = [tex]\sqrt{2gh}[/tex]

substitute the given data

v = [tex]\sqrt{2(9.8)(1.2)}[/tex]

v = 23.52 m/s

KE = ¹/₂mv² = ¹/₂(26 kg)(23.52 m/s)² = 7191.48 J

TME = PE + KE = 560.56 J + 7191.48 J = 7752.04 J

At point F:

PE = mgh = (26 kg)(9.8 m/s²)(0) = 0 J

To solve for the velocity at point F, take note that PE at point D is equivalent to KE at point F. Therefore,

PEd = KEf

mgh = ¹/₂mv²

Simplify

2gh = v²

v = [tex]\sqrt{2gh}[/tex]

substitute the given data

v = [tex]\sqrt{2(9.8)(3)}[/tex]

v = 58.8 m/s

Let us assume that the height at point D is the same as the height at point A.

KE = ¹/₂mv² = ¹/₂(26 kg)(58.8 m/s)² = 44,946.72 J

TME = PE + KE = 0 J + 44,946.72 J = 44,946.72 J

To learn more, just click the following links below:

  • Definition example of potential energy

        https://brainly.ph/question/233160

        https://brainly.ph/question/78768

  • Definition and example of kinetic energy
See also  Space C. The Magnetic Poles Are Separated. B.X CY 1. A Bar Magnet Is Divided In Two...

        https://brainly.ph/question/126300

        https://brainly.ph/question/77384

  • Total mechanical energy of a yoyo

        https://brainly.ph/question/1374849

#LetsStudy

:

Sino Ako - Trailer - YouTube

Sino ako. Kanino kalang viral video kanino kalang oliver sino ako by kranel. Link video mark lumabi scandal sino ako si oliver ugh & mark lumabi

SINO AKO.....🙏 - YouTube

ako

Sino ako. Ako sino. Link kanino ka lang ph & sino ako oliver viral

Sino Ako - YouTube

Ako sino wattpad. Sino ako?. Sino ako

Sino Ako - YouTube

sino ako

Ako sino. Sino at ano ka bilang tao. Ako sino

kanino kalang viral video kanino kalang oliver Sino ako by kranel

Ako sino discovered. Kanino ka lang? sayo; sino ako? oliver. "sino ako"

Sino At Ano Ka Bilang Tao

Kanino kalang video viral. Ako sino. Chasing dreams: discovered talent

kanino ka lang Sayo Sino Ako Oliver Twitter, Oliver kanino ka lang

Kanino kalang video viral. Ako sino wattpad. Ako sino

kanino kalang viral video kanino kalang oliver Sino ako by kranel - Tuna

Bonify ako wicked. Kanino kalang video viral. Sino ako?

Sino Ako? - YouTube

Ako sino. Sino ako…..🙏. Sino ako

Viral Full Video of Kanino Kalang Sayo Sino Ako Oliver leaked on

Kanino kalang viral video kanino kalang oliver sino ako by kranel. Link kanino ka lang ph & sino ako oliver viral. Sino ako || cover by mamamhel

"SINO AKO" - YouTube

ako sino

Ako sino. Viral video of kanino kalang sayo sino ako oliver leaked on twitter. Sino at ano ka bilang tao

Kanino Kalang Video Viral | Kanino Kalang Sayo Sino Ako Oliver | Who Is

Kanino ka lang sayo sino ako oliver twitter, oliver kanino ka lang. Sino ako?. Sino ako? by bonify on deviantart

Sino Ako - YouTube

ako sino

Ako sino. Sino ako?. Link video mark lumabi scandal sino ako si oliver ugh & mark lumabi

Sino ako || Cover by MamaMhel - YouTube

ako sino

New link viral video of kanino kalang sayo sino ako oliver leaked on. Sino ako. Sino ako

kanino kalang viral video kanino kalang oliver Sino ako by kranel - Tuna

New link viral video of kanino kalang sayo sino ako oliver leaked on. Sino ako. Oliver viral video archives

See also  Write An Essay On Intersubjectivity 250-300 Words​

New Link Viral video of Kanino Kalang Sayo Sino Ako Oliver leaked on

Kanino kalang viral video kanino kalang oliver sino ako by kranel. Ako sino discovered. Viral video of kanino kalang sayo sino ako oliver leaked on twitter

Viral video of Kanino Kalang Sayo Sino Ako Oliver leaked on Twitter

Ako sino. Sino at ano ka bilang tao. Chasing dreams: discovered talent

SINO AKO | JAMIE RIVERA | OPM | INSPIRATIONAL SONG | LYRIC VIDEO - YouTube

ako sino rivera lyric

Sino ako?. Bonify ako wicked. Ako sino discovered

Link Video Mark Lumabi Scandal Sino Ako Si Oliver Ugh & Mark Lumabi

Link video mark lumabi scandal sino ako si oliver ugh & mark lumabi. Sino ako. Sino ako

SINO AKO?

ako sino

Sino ako. Sino at ano ka bilang tao. Ako sino rivera lyric

Link Kanino Ka Lang Ph & Sino Ako Oliver Viral - ODK New York

Sino ako. Sino ako || cover by mamamhel. Ako sino