Question

in three situations, a briefly applied horizontal force changes the velocity of a hockey puck that slides over frictionless ice. the overhead views of the figure indicate, for each situation, the puck’s initial speed vi, its final speed vf, and the directions of the corresponding velocity vectors. rank the situations according to the work done on the puck by the applied force, most positive first and most negative last.

Answer 1

The work done on the Puck by the applied force from the most positive to the most negative is c, b, a respectively.

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

$F= \frac{mv}{t}$

The force applied to an object increases with increases in the velocity of the object.

In the given diagram, the resultant velocity of the puck is calculated as follows;

Figure a:

$\Delta v = v_f -v_i\\\\\Delta v = 5 - 6 = - 1 \ m/s$

Figure b:

$v = \sqrt{4^2 + 3^2} \\\\v = 5 \ m/s$

Figure c:

$\Delta v = 4 - (-2)\\\\\Delta v = 6 \ m/s$

Thus, the work done on the Puck by the applied force from the most positive to the most negative is c, b, a respectively.

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