The kinetic energy of an object of mass , m moving with a velocity of 5m/s is 25J.what will be its kinetic energy when its velocity is doubled ?what will be its kinetic energy when its velocity is incrased three times

  • 0

If we double the velocity of the object, then the Kinetic energy Ek becomes four times the initial value.

Hence, the kinetic energy of the object will become four times ,i.e, 25*4= 100J.

  • -2

 Kinetic energy=1/2 m(v )square

25J                      =1/2 *m*(5)square

Therefore, mass=2 kg

the kinetic energy when its velocity is doubled=1/2 *m(2*v)square

=1/2*2*(5*2)square

=100 joule

And, the kinetic energy when its velocity is increased three =1/2 *m(3*v)square

=1/2*2*(3*5)square

=337.50 joule.


  • 1

 First, we will calculate the mass 'm ' of the object.

Now, Kinetic energy = 1 / 2 mv 2

So, 25 = 1 / 2 x m x (5) 2

25 = 1 / 2 x m x 25

m = 2kg

 

When the velocity of the object is doubled, it becomes 5 x 2 = 10 m s -1

Now, Kinetic energy = 1 / 2 mv 2

= 1 / 2 x m x (10) 2

= 1 / 2 x 2 x 100

= 100 J

Thus, when the velocity of the object is doubled, then it 's Kinetic energy becomes 100 J.

 

When the velocity of the object is increased three times, it becomes 5 x 3 = 15m s -1

Now, Kinetic energy = 1 / 2 mv 2

= 1 / 2 x m x (15) 2

= 1 / 2 x 2 x 225

= 225 J

Thus, when the velocity of the object is increased three times,then it 's Kinetic energy becomes 225 J.

 

HOPE IT HELPS U..........

  • 97

Kinetic energy=1/2 m(v )square

25J =1/2 *m*(5)square

Therefore, mass=2 kg

the kinetic energy when its velocity is doubled=1/2 *m(2*v)square

=1/2*2*(5*2)square

=100 joule

And, the kinetic energy when its velocity is increased three = 1/2 *m(3*v)square

=1/2*2*(3*5)square

=337.50 joule.

 
  • -2

 ke when its velocity is doubled=1/2 *2*(10)square=100 J

ke when its velocity is tripled=1/2*2*(15)square=225 J

  • 7
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