Question

A body of mass 2kg is projected vertically up with a velocity of 100m/s . If it raises to a height of 400m,the energy utilizes to overcome friction is (g=10m/s)

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Answer 1

Given:-

• Mass of the body ,m = 2kg

• Initial velocity ,u = 100m/s

• Height raises , h = 400m

• Acceleration due to gravity ,g = 10m/s²

To Find:-

• Energy utilizes to overcome friction .

Solution:-

As we know that the energy of body because of its position or shape is called its Potential Energy.

Mathematical term of Potential Energy

→ P.E = mgh

Substitute the value we get

→ P.E = 2×10×100

→ P.E = 20×100

→ P.E = 2000 J

Now Converting the Joules into Kilojoules

1 Kilojoule = 1000 Joules

∴ 2000 J = 2000/1000kj = 2kj

∴ The energy utilities to overcome the friction is 2 Kilojoule.

Answer 2

Given :-

• Mass of the body (m) = 2kg

• Initial velocity of the body (u) = 100m/s

• Height (h) = 400 metres

• Acceleration due to gravity (g) = 10m/s2

To Find:-

• The energy utilised by the body to overcome friction

Solution :-

• We already know that the energy due to to its state of position or shape is potential energy (p)

• Mathematically Potential Energy p = mgh

Lets substitute the value of m, g and h to the equation we get

• P = 2*10*100

• Potential energy = 2000J

Convert Jolue - kilo Jule

1 KJ = 1000J

• So, 2000J = 2000/1000 = 2 Kilo Jule

Hence the energy required to overcome friction = 2Kilo Jules

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