Concept explainers
(a)
The time at which the object will be moving with speed of
(a)
Answer to Problem 96CP
The object will have speed
Explanation of Solution
The force acting ion the object provides acceleration to it and due to this acceleration; the object attains a particular velocity in a specific time.
The expression for the acceleration of the object is given as.
Here,
The expression for the acceleration in terms of derivative of velocity is given as.
Rearrange the above equation for velocity as.
Here,
The expression for the magnitude of the velocity of object is given as
Here,
Conclusion:
Substitute
Substitute
Substitute
Take square on both the sides in above equation,
Simplify the above equation for
The value of time cannot be negative. So, only positive value is considered.
Thus, the object will have speed
(b)
The position of the object from initial point when speed is
(b)
Answer to Problem 96CP
The object is at a distance of
Explanation of Solution
The object gets displaced by some distance when it moves under a velocity for a particular time period.
Write the expression for the position of the block as.
Rearrange the above equation.
Here,
Write the expression for the magnitude of the distance covered as.
Here,
Conclusion:
Substitute
Integrate the above equation.
Simplify the above equation.
Substitute
Thus, the object is at a distance of
(c)
The total displacement of the object during this motion.
(c)
Answer to Problem 96CP
The displacement of the object is given as
Explanation of Solution
Conclusion:
Substitute
Thus, the displacement of the object is given as
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Chapter 5 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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