Answer to Question #99938 in Classical Mechanics for Omar

Question

A student slides a 0.77 kg textbook across a table, and it comes to rest
after traveling 1.2 m. Given that the coefficient of kinetic friction
between the book and the table is 0.35, use the work–kinetic energy
theorem to find the book’s initial speed.

Round to 2 decimal places

Answer 1

Formula adopted

$mv^2/2=\mu mgd$

$0.77v^2/2=0.35\times0.77\times9.81\times1.2$

v²=8.24

v=2.87m/s