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A rocket blasts off from rest and attains a speed of 49 m/s in 14 s. an astronaut has a mass of 54.8 kg. what is the astronaut's apparent weight during take off?

User Wei Qiu
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2 Answers

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Final answer:

The apparent weight of the astronaut during takeoff can be calculated using the acceleration of the rocket and the gravitational force acting on the astronaut.

Step-by-step explanation:

The apparent weight of an astronaut during takeoff can be calculated by considering the rocket's acceleration and the gravitational force acting on the astronaut.

First, let's calculate the acceleration of the rocket using the formula:

acceleration = change in velocity / time

Given that the final velocity is 49 m/s and the time taken is 14 s, we can substitute these values into the formula:

acceleration = (49 m/s - 0 m/s) / 14 s

= 3.5 m/s².

Now, we can calculate the apparent weight of the astronaut using Newton's second law, which states that the force exerted on an object is equal to its mass times its acceleration:

force = mass * acceleration

Substituting the mass of the astronaut (54.8 kg) and the calculated acceleration (3.5 m/s²) into the formula:

force = (54.8 kg) * (3.5 m/s²)

= 191.8 N.

Therefore, the astronaut's apparent weight during takeoff is 191.8 N.

3 votes
i am not sure what do ya mean by apparent weight i am quite sure of the solution
acceletarion=( 49-0)/14=3.5m/s^2
weight= 3.5*54.8kg=191.8N
User Kent Hu
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