A rocket takes off from Earth's surface, accelerating straight up at 43.2 m/s2. Calculate the normal force (in N) acting on an astronaut of mass 80.9 kg, including her space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.)

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Asked Nov 17, 2019
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A rocket takes off from Earth's surface, accelerating straight up at 43.2 m/s2. Calculate the normal force (in N) acting on an astronaut of mass 80.9 kg, including her space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.)

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Expert Answer

Step 1

Given,

Acceleration in y-direction,a 43.2 m/s
Mass of astronaut, m 80.9 Kg
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Acceleration in y-direction,a 43.2 m/s Mass of astronaut, m 80.9 Kg

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Step 2

When astronaut is on surface of earth then forces  acting on astronaut are following,

(a): Normal Force acting in upward direction.                  

(b): Weight of astronaut due to gravity.          

a
mg
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a mg

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Step 3

By Newton’s Secon...

N -mg ma
N mg ma
where,N Normal Force
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N -mg ma N mg ma where,N Normal Force

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