Question

you need to move a 500 kg crate of gazelle food from the garage along the 42 meter hall to the kitchen. If you apply a force of 1000 N at a 37 degree angle to the horizontal. How long will it take to move to the kitchen?(coefficient of static friction=.15, coefficient of kenetic friction=.10)

Answer 1

First of all, find the components of the pushing force;
Pushing down=1000sin37
pushing forward=1000sin37

friction force = mu*forcenormal
= mu(1000sin37 + mass*g)

net force= m*acceleration solve for acceleration.

then, knowing acceleration, and distance

Vf^2= 2 a * d

solve for Vf.

timetogetkitchen= d/(vf/2)