The mass of a body m moving with a velocity v is given by $$m=m01$$−$$v2c2$$ where $$m0$$ $$=$$ rest mass, c $$=$$ speed of light $$=$$ $$3$$ x $$108$$ $$ms-1$$. The value of m (in$$ kg using significant $$figures) for $$m0=10kg$$,$$v=3$$×$$107ms$$−$$1is$$ $$________$$

Question

The mass of a body m moving with a velocity v is given by $$m=m01$$−$$v2c2$$ where $$m0$$ $$=$$ rest mass, c $$=$$ speed of  light $$=$$ $$3$$ x $$108$$ $$ms-1$$. The value of m (in$$ kg using significant $$figures) for $$m0=10kg$$,$$v=3$$×$$107ms$$−$$1is$$ $$________$$

Infinity Learn · Accepted Answer

$$m=101$$−$$9$$×$$10149$$×$$1016=101$$−$$1100=10.0504=10kg$$ (significant$$ figure is $$1) (The$$ number of significant figures in multiplication or division should equal to minimum number of decimal points of a quantity involved in the operation.$$)

Accuracy; precision of instruments and errors in measurements

Remember concepts with our Masterclasses.

The mass of a body m moving with a velocity v is given by $m = \frac{m_{0}}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}$ where m₀ = rest mass, c = speed of light = 3 x 10⁸ ms^-1. The value of m (in kg using significant figures) for $m_{0} = 10 kg, v = 3 \times 10^{7} {ms}^{- 1}$ is ________

Ready to Test Your Skills?

free study material

Accuracy; precision of instruments and errors in measurements

Remember concepts with our Masterclasses.

The mass of a body m moving with a velocity v is given by m=m01−v2c2 where m0 = rest mass, c = speed of light = 3 x 108 ms-1. The value of m (in kg using significant figures) for m0=10kg,v=3×107ms−1is ________

m=101−9×10149×1016=101−1100=10.0504=10kg (significant figure is 1) (The number of significant figures in multiplication or division should equal to minimum number of decimal points of a quantity involved in the operation.)

Ready to Test Your Skills?

free study material

The mass of a body m moving with a velocity v is given by $m = \frac{m_{0}}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}$ where m₀ = rest mass, c = speed of light = 3 x 10⁸ ms^-1. The value of m (in kg using significant figures) for $m_{0} = 10 kg, v = 3 \times 10^{7} {ms}^{- 1}$ is ________