A rocket of mass 1000 kg is in outer space and fires its engines continuously at a thrust of 2000 N. Calculate the rocket's acceleration and its velocity after 100 seconds.
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To calculate the rocket's acceleration, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a).
Given:
Mass of the rocket (m) = 1000 kg
Thrust of the engines (F) = 2000 N
We can rearrange the equation to solve for acceleration:
F = m * a
a = F / m
Plugging in the values:
a = 2000 N / 1000 kg
a = 2 m/s^2
Therefore, the rocket's acceleration is 2 m/s^2.
To calculate the rocket's velocity after 100 seconds, we can use the formula:
v = u + at
Given:
Initial velocity (u) = 0 m/s (since the rocket starts from rest in outer space)
Acceleration (a) = 2 m/s^2
Time (t) = 100 s
Plugging in the values:
v = 0 m/s + 2 m/s^2 * 100 s
v = 200 m/s
Therefore, the rocket's velocity after 100 seconds is 200 m/s.
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