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3 years ago

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Two astronauts are floating together with zero speed in a gravity-free region of space. The mass of astronaut A is 110 kg and th

at of astronaut B is 74 kg. Astronaut A pushes B away, with B attaining a final speed of 0.4. The final recoil speed of astronaut A is:

1 answer:

Kobotan [32]3 years ago

4 0

Answer:

The recoil speed of Astronaut A is 0.26 m/s.

Explanation:

Given that,

Mass of astronaut A, $m_A=110\ kg$

Mass of astronaut B, $m_B=74\ kg$

Astronaut A pushes B away, with B attaining a final speed of 0.4, $v_B=0.4\ m/s$

We need to find the recoil speed of astronaut A. The momentum remains conserved here. Using the law of conservation of linear momentum as :

$m_Av_A=m_Bv_B\\\\v_A=\dfrac{m_Bv_B}{m_A}\\\\v_A=\dfrac{74\times 0.4}{110}\\\\v_A=0.26\ m/s$

So, the recoil speed of Astronaut A is 0.26 m/s.

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A hard-boiled egg of mass 46.0 gg moves on the end of a spring with force constant 25.6 N/mN/m . The egg is released from rest a

soldi70 [24.7K]

Answer:

0.022kg/s

Explanation:

We are given that

Mass of boiled egg=46 g= $\frac{46}{1000} kg=0.046 kg$

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$x=Ae^{-\frac{b}{2m}t}cos(w't+\phi)$

For maximum displacement $cos(w't+\phi)=1$

Therefore , $x=A_2$

Substitute the values

$A_2=A_1e^{-\frac{-b}{2m}t}$

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$-\frac{b}{2m}t=ln\frac{A_2}{A_1}$

$lnx=y\implies x=e^y$

Substitute the values

$-\frac{b}{2\times 0.046}\times 4.55=ln\frac{0.12}{0.296}$

$\frac{2\times 0.046}{4.55b}=ln\frac{0.296}{0.12}$

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3 years ago

Bad White [126]

Answer: 5.96m/s

Explanation:

Given the following :

Mass of car (m) = 1500kg

Velocity (V) = 5.25m/s

Forward force of engine = 1250N

Diatance moved = 4.8m

Final Velocity =?

Final kinetic energy = Initial kinetic energy + work done by engine

Initial kinetic energy = 0.5 × mass × velocity^2

Initial kinetic energy = 0.5 × 1500 × 5.25^2

Initial kinetic energy = 20671.875 J

Work done by engine = Force × distance

Work done by engine = 1250 × 4.8 = 6000J

Final kinetic energy = (20671.875 + 6000) J

= 26671.875 J

From kinetic energy = 0.5mv^2

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53343.75 = 1500v^2

v^2 = 35.5625

v = sqrt(35.5625)

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