A horizontal force acts on a block resting on a smooth table

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A horizontal force acts on a

2.0\,\text{kg}

block resting on a smooth table. The magnitude of the force changes with time as follows: • From

t = 0

t = 0.04\,\text{s}

it increases uniformly from

0

80\,\text{N}

. • From

t = 0.04\,\text{s}

t = 0.06\,\text{s}

it remains constant at

80\,\text{N}

. After

t = 0.06\,\text{s}

the force is zero. (i) Calculate the impulse imparted to the block during the entire period

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

. (ii) If the block is initially at rest, determine its speed just after

t = 0.06\,\text{s}