HAND WRITE THE SOLUTION IN A NEAT AND CONCISE WAY. IT MUST BE READABLE! 43) The

Question

HAND WRITE THE SOLUTION IN A NEAT AND CONCISE WAY. IT MUST BE READABLE!

43) The graph in the figure shows the magnitude of the net horizontal force Fy on s 43) e as a function of the position x of the package. Just before the force was applied, package the package was originally sliding at 60 m/s in the ax direction on a smooth horizomtal floor. Find the x component of the velocity of the package just after the force has stopped in each of the following cases. (a) The force is applied in the same direction as the original velocity of the box. (b) The force is applied in the opposite direction to the original velocity of the box. F, (N) 150 100 x (m) 2.0 4.0 6.0

Explanation / Answer

given,

mass = 25 kg

iniial velocity = 6 m/s

area of the force vs displacement graph gives the work done

area of the graph = 0.5 * (6 - 2) * 200

area of the graph = 400 J

so,

work done = 400 J

work done = change in kinetic energy

if force is applied in the direction of motion the work done will be positive

so,

400 = 0.5 * m * (final velocity^2 - 6^2)

400 = 0.5 * 25 * (final velocity^2 - 6^2)

a) final velocity = 8.246 m/s

if force is applied in the opposite direction of motion the work done will be negative

so,

-400 = 0.5 * m * (final velocity^2 - 6^2)

-400 = 0.5 * 25 * (final velocity^2 - 6^2)

b) final velocity = 2m/s

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