Olive Udadi Is At The Park With Her Father. The 26-kg Olive Is On A Swing Follo…
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
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
https://brainly.ph/question/126300
https://brainly.ph/question/77384
- Total mechanical energy of a yoyo
https://brainly.ph/question/1374849
#LetsStudy
:
sino
Sino ako?. Chasing dreams: discovered talent. Ako sino wattpad
Viral video of kanino kalang sayo sino ako oliver leaked on twitter. Ako sino rivera lyric. Bonify ako wicked
Sino ako. Sino ako? by bonify on deviantart. Sino ako
Sino ako || cover by mamamhel. Kanino kalang video viral. Sino ako thinks deep on "do it" • word is bond
Viral full video of kanino kalang sayo sino ako oliver leaked on. Sino at ano ka bilang tao. Sino ako?
ako sino
Oliver viral video archives. Kanino ka lang sayo sino ako oliver twitter, oliver kanino ka lang. Ako sino
ako sino
Kanino kalang video viral. Viral video of kanino kalang sayo sino ako oliver leaked on twitter. Oliver viral video archives
Sino ako || cover by mamamhel. Link kanino ka lang ph & sino ako oliver viral. Ako sino
Link kanino ka lang ph & sino ako oliver viral. Viral video of kanino kalang sayo sino ako oliver leaked on twitter. Sino ako
Link kanino ka lang ph & sino ako oliver viral. Ako sino wattpad. Kanino kalang viral video kanino kalang oliver sino ako by kranel
Viral full video of kanino kalang sayo sino ako oliver leaked on. Chasing dreams: discovered talent. Ako sino discovered
bonify ako wicked
"sino ako". Sino ako. Sino at ano ka bilang tao
ako sino
Sino ako?. Kanino ka lang? sayo; sino ako? oliver. Kanino kalang viral video kanino kalang oliver sino ako by kranel
sino ako
Ako sino. Ako sino. Sino ako?
Chasing dreams: discovered talent. Sino ako. Sino ako?
Sino ako thinks deep on "do it" • word is bond. Sino ako. Sino ako
ako sino
Ako sino. Sino ako. Sino ako? by bonify on deviantart
Ako sino. Ako sino. New link viral video of kanino kalang sayo sino ako oliver leaked on
ako sino discovered
Sino ako?. Sino ako? by bonify on deviantart. Sino ako
ako sino
Sino ako. Sino ako. Sino ako?
Ako sino. Link video mark lumabi scandal sino ako si oliver ugh & mark lumabi. Sino ako
sino ako
Ako sino wattpad. Sino ako. Kanino ka lang sayo sino ako oliver twitter, oliver kanino ka lang
