A body of mass 2 kg moving with velocity of
enters into a constant force field of 6 N directed along positive
-axis. If the body remains in the field for a period of
seconds, then velocity of the body when it emerges from force field is.
Text Solution
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To determine the velocity of the body as it emerges from the force field, we can break this process down as follows:
Force and Acceleration Calculation:
The body is subjected to a constant force of 6 N, which acts along the positive z -axis. The mass of the body is 2 kg.
Using Newton's second law,
, the acceleration
can be calculated as:

Initial Velocity:
The initial velocity of the body is given by:

Time of Motion:
The time the body spends in the force field is:

Final Velocity Calculation:
The final velocity
is given by the equation of motion:

Substituting the known values:

Simplifying the expression gives:

Therefore, the velocity of the body as it exits the force field is
.
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