Question

The kinetic energy of an object of mass m moving with a velocity of 5m/s-1 is 25j. What Will be its kinetic energy when its velocity is doubled?What will be its kinetic energy when its velocity is increased three times

Answer 1

K.E. of the object= 25 J

Velocity of the object, v= 5 m/s

ˆµ K.E.= 1/2 mv^2

‡’ m= 2 — (K.E.)/v^2

‡’ m= 2 — 25/25= 2 kg

If velocity is double, v= 2 — 5= 10 m/s

ˆ´ K.E. (for v = 10 m/s)= 1/2 mv^2= 1/2— 2 — 100= 100 J

If velocity is tripled, v= 3 — 5= 15 m/s

ˆ´ K.E. (for v = 10 m/s)= 1/2 mv^2 = 1/2 — 2 — 225= 225 J

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Answer 2

Given :-

K.E (Kinetic energy) of the body = 25J

Velocity = 5 m/s

Mass = m

Velocity is doubled and tripled

To find :-

K.E. (Kinetic energy) of the body when Velocity is doubled and tripled

Solution :-

Firstly finding mass of the body

K.E = 1/2 × m × 5²

K.E = 1/2 × m × 25

1 = 1/2 m

Mass = 2 kg

i) Velocity is doubled

K.E = 1/2 mv²

Here velocity is doubled

K.E = 1/2 × m × 2v²

K.E = mv²

K.E = 2 × 25

K.E = 50 J

Hence , if velocity is doubled K.E will also be doubled.

ii) Velocity is tripled

K.E = 1/2 × m × 3v²

K.E = 1/2 × 2 × 3(5)²

K.E = 3 × 25

K.E = 75 J

Hence , if velocity is tripled K.E will also be tripled.

Answer 3

Given :-

K.E (Kinetic energy) of the body = 25J

Velocity = 5 m/s

Mass = m

Velocity is doubled and tripled

To find :-

K.E. (Kinetic energy) of the body when Velocity is doubled and tripled

Solution :-

Firstly finding mass of the body

K.E = 1/2 × m × 5²

K.E = 1/2 × m × 25

1 = 1/2 m

Mass = 2 kg

i) Velocity is doubled

K.E = 1/2 mv²

Here velocity is doubled

K.E = 1/2 × m × 2v²

K.E = mv²

K.E = 2 × 25

K.E = 50 J

Hence , if velocity is doubled K.E will also be doubled.

ii) Velocity is tripled

K.E = 1/2 × m × 3v²

K.E = 1/2 × 2 × 3(5)²

K.E = 3 × 25

K.E = 75 J

Hence , if velocity is tripled K.E will also be tripled.

Answer 4

Given :-

K.E (Kinetic energy) of the body = 25J

Velocity = 5 m/s

Mass = m

Velocity is doubled and tripled

To find :-

K.E. (Kinetic energy) of the body when Velocity is doubled and tripled

Solution :-

Firstly finding mass of the body

K.E = 1/2 × m × 5²

K.E = 1/2 × m × 25

1 = 1/2 m

Mass = 2 kg

i) Velocity is doubled

K.E = 1/2 mv²

Here velocity is doubled

K.E = 1/2 × m × 2v²

K.E = mv²

K.E = 2 × 25

K.E = 50 J

Hence , if velocity is doubled K.E will also be doubled.

ii) Velocity is tripled

K.E = 1/2 × m × 3v²

K.E = 1/2 × 2 × 3(5)²

K.E = 3 × 25

K.E = 75 J

Hence , if velocity is tripled K.E will also be tripled.

Answer 5

Given :-

K.E (Kinetic energy) of the body = 25J

Velocity = 5 m/s

Mass = m

Velocity is doubled and tripled

To find :-

K.E. (Kinetic energy) of the body when Velocity is doubled and tripled

Solution :-

Firstly finding mass of the body

K.E = 1/2 × m × 5²

K.E = 1/2 × m × 25

1 = 1/2 m

Mass = 2 kg

i) Velocity is doubled

K.E = 1/2 mv²

Here velocity is doubled

K.E = 1/2 × m × 2v²

K.E = mv²

K.E = 2 × 25

K.E = 50 J

Hence , if velocity is doubled K.E will also be doubled.

ii) Velocity is tripled

K.E = 1/2 × m × 3v²

K.E = 1/2 × 2 × 3(5)²

K.E = 3 × 25

K.E = 75 J

Hence , if velocity is tripled K.E will also be tripled.