A particle of mass has initial momentum components and

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle of mass

2\,\text{kg}

has initial momentum components

p_x = 6\,\text{kg m s}^{-1}

and

p_y = 8\,\text{kg m s}^{-1}

. A constant force acts for

0.5\,\text{s}

, changing the velocity so that the

x

-component of velocity decreases by

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

while the

y

-component increases by

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

. Find: (i) the final momentum components, (ii) the magnitude of the impulse delivered by the force.