A block slides on a rough horizontal table with an initial speed of and comes to rest…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

1.0\,\text{kg}

block slides on a rough horizontal table with an initial speed of

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

and comes to rest after compressing a horizontal spring by

0.10\,\text{m}

. The coefficient of kinetic friction between the block and the table is

0.20

. The total distance moved by the block from the point of release to the point of maximum compression is

2.0\,\text{m}

. Taking

g = 9.8\,\text{m s}^{-2}

, calculate the spring constant

k

. (a)

4.0\times10^{2}\,\text{N m}^{-1}

(b)

8.2\times10^{2}\,\text{N m}^{-1}

(c)

1.6\times10^{3}\,\text{N m}^{-1}

(d)

2.4\times10^{3}\,\text{N m}^{-1}