A stone with weight w is thrown vertically upward

Question

A stone with weight w is thrown vertically upward into air from ground level with initial speed v0..If a constant force f due to air drag acts on the stone throughout its flight ,the speed of stone just before impact with the ground is what?

Arun · Accepted Answer

a)initial energy = 1/2 m v^2
work done by air drag is f h
potential energy at maximum height h is mgh ( or the work done by/against gravirty)
1/2mv^2 = fh + mgh
h = mv^2 /2(f+mg) or writing interms of W = mg , replace m on top with W/g and mg in the debominator with W you will get the result

b) initial kinetic energy = 1/2mv^2
final energy = 1/2mV2^2 where v2 is the final velocity
work done by f is 2fh
1/2mv^2 = 1/2mV2^2 + 2fh since there is no change in potential energy
1/2 mv2^2 = 1/2mv^2 -2fh
W v2^2 = Wv^2 -4fgh
v2^2 = v^2 - 4gf/W * h
but we know h = v^2/(2g(1+(f/W))) = Wv^2/(2g(f+W)
v2^2 = v^2 - 4gf/W * Wv^2/(2g(f+W))
v2^2 = v^2 - 2f * v^2/((f+W)) = v^2 [(f+W -2f)/(W+f)] = v^2 (W-f)/(W+f)
v2 = v^2 √((W-f)/(W+f))

AIPMT> A stone with weight w is thrown verticall...

A stone with weight w is thrown vertically upward into air from ground level with initial speed v_0..If a constant force f due to air drag acts on the stone throughout its flight ,the speed of stone just before impact with the ground is what?

Rincy , 6 Years ago

Arun

LIVE ONLINE CLASSES

NEET COACHING FOR GRADE 9 STUDENT IN ABU DHABI,UAE. What are the options available

aipmt

Explaination on the strength of bonds in the figure

aipmt

Mam today in neet ug 2021 due to my nervousness I bubbled one wrong figure of my roll number but I have filled the roll number correctly in the blocks the invigilator adviced me to leave it as it is and to bubble the same correct figure so I did that .am very much worried what will happen

aipmt

Magnetic Length of bar magnet of length 70 cm is 63 cm. Want a solution for this.

aipmt

in the stomatal apparatus why are subsidiary celss absent in cucurbits?

aipmt

AIPMT> A stone with weight w is thrown verticall...

A stone with weight w is thrown vertically upward into air from ground level with initial speed v0..If a constant force f due to air drag acts on the stone throughout its flight ,the speed of stone just before impact with the ground is what?

Rincy , 6 Years ago

Arun

LIVE ONLINE CLASSES

Other Related Questions on aipmt

NEET COACHING FOR GRADE 9 STUDENT IN ABU DHABI,UAE. What are the options available

aipmt

Explaination on the strength of bonds in the figure

aipmt

Mam today in neet ug 2021 due to my nervousness I bubbled one wrong figure of my roll number but I have filled the roll number correctly in the blocks the invigilator adviced me to leave it as it is and to bubble the same correct figure so I did that .am very much worried what will happen

aipmt

Magnetic Length of bar magnet of length 70 cm is 63 cm. Want a solution for this.

aipmt

in the stomatal apparatus why are subsidiary celss absent in cucurbits?

aipmt

A stone with weight w is thrown vertically upward into air from ground level with initial speed v_0..If a constant force f due to air drag acts on the stone throughout its flight ,the speed of stone just before impact with the ground is what?