the kinetic energy of an object of mass m, moving with a velocity of 10m/s is 100 J. evaluate the kinetic energy of the same object when its velocity is doubled.
Answers
Answer:
- 400 J is the required kinetic energy .
According to the Question
It is given that,
- Velocity ,v = 10m/s
- Kinetic Energy ,KE = 100J
we have to calculate the kinetic energy of the body when the velocity of body is doubled .
Firstly we calculate the mass of the object
Using Formula
- KE = ½ mv²
by substituting the value we get
↠ 100 = ½ × m × 10²
↠ 100 = ½ × m × 100
↠ 100 = m × 50
↠ m = 100/50
↠ m = 2Kg
Now, calculating the kinetic energy
when velocity is doubled .
→ v' = 10 × 2 = 20m/s
Using Formula we get
- KE ' = ½ mv'²
↠ KE' = ½ × 2 × 20²
↠ KE' = 400J
- Hence, the kinetic energy of the object when the velocity is doubled is 400 Joules .
Answer:
400 J is the required kinetic energy .
According to the Question
It is given that,
Velocity ,v = 10m/s
Kinetic Energy ,KE = 100J
we have to calculate the kinetic energy of the body when the velocity of body is doubled .
Firstly we calculate the mass of the object
Using Formula
KE = ½ mv²
by substituting the value we get
↠ 100 = ½ × m × 10²
↠ 100 = ½ × m × 100
↠ 100 = m × 50
↠ m = 100/50
↠ m = 2Kg
Now, calculating the kinetic energy
when velocity is doubled .
→ v' = 10 × 2 = 20m/s
Using Formula we get
KE ' = ½ mv'²
↠ KE' = ½ × 2 × 20²
↠ KE' = 400J
Hence, the kinetic energy of the object when the velocity is doubled is 400 Joules .