The Soviet Union had its roots in the 1917 October Revolution, when the Bolsheviks, led by Vladimir Lenin, overthrew the Russian Provisional Government which had replaced the autocratic regime of Tsar Nicholas II during World War I.
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8 0

3 years ago

2. If both the mass and radius of the earth, each decreases by 50%, the acceleration due to gravity would (a) remain same (b) de

Scrat [10]

Answer:

(d) increase by 100%

Explanation:

$m_{i}$ = initial mass of earth = m

$m_{f}$ = final mass of earth = (0.5) m

$R_{i}$ = initial radius of earth = R

$R_{f}$ = final radius of earth = (0.5) R

$g_{i}$ = initial acceleration due to gravity of earth = g

$g_{f}$ = final acceleration due to gravity of earth

initial acceleration due to gravity of earth is given as

$g_{i} = \frac{Gm_{i}}{R_{i}^{2}}$ Eq-1

Final acceleration due to gravity of earth is given as

$g_{f} = \frac{Gm_{f}}{R_{f}^{2}}$ Eq-2

Dividing eq-1 by eq-2

$\frac{g_{i}}{g_{f}} = \frac{m_{i}}{m_{f}}\frac{R_{f}^{2}}{R_{i}^{2}}$

inserting the values

$\frac{g}{g_{f}} = \frac{m_{i}}{(0.5)m_{i}}\frac{(0.5)^{2}R_{i}^{2}}{R_{i}^{2}}$

$g_{f}$ = 2 g

So there is 100% increase

8 0

4 years ago