A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate dm(t)/dt =bv2(t), where v(t) its instantaneous velocity. The instantaneous acceleration of the satellite is:
A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate dm(t)/dt =bv2(t), where v(t) its instantaneous velocity. The instantaneous acceleration of the satellite is:
Option 1 - <p>a</p>
Option 2 - <p>b</p>
Option 3 - <p>c</p>
Option 4 - <p>d</p>
9 Views|Posted 7 months ago
Asked by Shiksha User
1 Answer
V
Answered by
7 months ago
Correct Option - 2
Detailed Solution:
dm (t)/dt = bv²
F_thrust = v ( dm/dt )
Force on satellite = -v (dm (t)/dt)
M (t)a = -v (bv²)
a = - (bv³)/M (t)
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