Question

the kinetic energy of an object of mass M moving with a velocity of 5 m s-1 is 25 j.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

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Let the mass be m

v = 5m/s

K.E = 25 J

K.E = 1/2 mv^2

25 = 1/2 m (5)^2

25 x 2 = 25m

m = 2 kg

Now if the velocity becomes 3 times then the velocity is 3 x 5 = 15m/S

Now new K.E = 1/2 x 2 x 15^2

= 225 J

Answer 2

Answer:

KINETIC ENERGY OF AN OBJECT:

the energy possessed by an object due to its motion is known as Kinect energy of that object.

K.E = 1/2 MV^2

where "m" is mass of the object and "v" is velocity of the object.

VELOCITY : The rate of change of position of a body is called velocity .

• S.I UNIT : m/s

• Vector Quantity

↪ Kinetic Energy = 25J

Velocity(v) = 5m /s

Kinetic Energy = 1/2mv^2

25 = 1/2 m (5)^2

m = 2kg

i) If velocity is doubled = 10 m/s , m = 2kg

Kinetic Energy = 1/2mv^2

= 1/2 (2) × (10)^2

= 100 J Kinetic Energy will become four times.

ii) If velocity is 3 times v = 15 m/s , m = 2kg

Kinetic Energy. = 1/2mv^2

= 1/2 × 2 × (15)^2

= 255J

Kinetic Energy will become nine times.

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