An object moves along the x-axis under the influence of a single force: F = 6x2

Question

An object moves along the x-axis under the influence of a single force: F = 6x2 -8x + 2, where F is in newtons and x is in meters. What is the change in the kinetic energy of the object as it moves from x = 1.0 m to x = 3.0 m? 32 J 28 J 24 J 20 J 16 J A 24-kg ball has a speed of 18 m/s, initially. Several forces act together on this ball as it moves from (x0, y0) to (x1, y1). The net work done by these forces during this segment of the ball's motion is +2.60 kJ. What is the kinetic energy of the ball as it reaches (x1, y1)? 6.5 kJ 4.3 kJ 3.4 kJ 2.9 kJ 1.3 kJ

Explanation / Answer

work done=chamge in kinetic enrgy

work done=[2*x^3 -4x^2+2x] x=1to 3

=24-0

=24 J

2)intial kinetic enrgy=24*18^2 /2

=3888 J

final kinetic enrgy=3888+2600

=6488 J

=6.488 kJ

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