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2 years ago

An astronaut at rest in space with mass 84 kg fires a thruster that expels 35 g of hot

Physics

2 answers:

storchak [24]2 years ago

4 0

Answer:

-0.364m/s

Explanation:

Mass of Astronaut (M₁) = 84kg

mass of gas(m₂) = 35g = 0.035kg

velocity of gas (v₂) = 875m/s

velocity of astronaut (v₁) =

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(84 * 0) + (0.035 * 0) = (84 * v₁) + (0.035 * 875)

0 = 84v₁ + 30.625

84v₁ = -30.625

v₁ = -0.364m/s

IRINA_888 [86]2 years ago

3 0

Answer:

The velocity of the astronaut is, v = - 0.36 m/s

Explanation:

Given data,

The mass of the astronaut, M = 84 kg

The mass of the gas expelled by the thruster, m = 35 g

= 0.035 g

The velocity of the gas expelled, v = 875 m/s

According to the conservation of momentum,

MV + mv = 0

V = - mv / M

Substituting the values,

V = - 0.035 x 875 / 84

= - 0.36 m/s

The negative sign in the velocity indicates the astronaut moves opposite to the direction of velocity of gas.

Hence, the velocity of the astronaut is, v = - 0.36 m/s

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