Question

if the percentage error of measurement in mass and velocity are 4percent and 2percent what is the percentge error in kinetic energy​

Answer 1

Answer:

Given :

Percentage error of masss = 4%

Percentage error of velocity = 2%

To Find :

Percentage error of Kinetic Energy

Solution :

Kinetic Energy is said to be the energy possessed by a body in the virtue of its motion.

Kinetic energy = ½mv²

So, the percentage error :

= ∆m/m * 100 + 2 * ∆v/v * 100

= 4 + 2 * 2

= 4 + 4

= 8 %

Hence, the percentage error of Kinetic Energy = 8 %

Answer 2

Answer:

Given :-

Percentage error in mass = 4%

Percentage error in velocity = 2%

To Find :-

Percentage error in kinetic energy

SoluTion :-

We know that

$\large \tt \: KE = \dfrac{1}{2} mv {}^{2}$

KE = Kinetic energy

M = Mass

V = Velocity

Now,

Percentage error

=> ∆m/m × 100 + 2 × ∆v/v × 100

So,

=> 4m/m × 100 + 2 × 2v/v × 100

• Cancelling 100 from both side

=> 4m/m + 2 × 2v/v

=> 4 + 2 × 2

=> 4 + 4

=> 8%