Physics

Problem

A puck of mass

0.50\,\text{kg}

slides along a smooth horizontal surface and is acted upon by a time-dependent force along the

x

-axis described below: •

0 \le t \le 0.02\,\text{s}

: the force rises linearly from

0

100\,\text{N}

. •

0.02\,\text{s} < t \le 0.04\,\text{s}

: the force decreases linearly to

-50\,\text{N}

. •

0.04\,\text{s} < t \le 0.06\,\text{s}

: the force remains constant at

-50\,\text{N}

. For

t > 0.06\,\text{s}

, the force is zero. a. (i) Sketch a qualitative force–time graph for

0 \le t \le 0.06\,\text{s}

based on the above description. b. (ii) Calculate the total impulse delivered to the puck in this interval. c. (iii) The puck was initially moving with a speed of

4\,\text{m}\,\text{s}^{-1}

in the

+x

direction at

t = 0

. Determine its velocity (magnitude and direction) at

t = 0.06\,\text{s}

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