Homework Help: newton's law

Posted by jack on Saturday, October 13, 2012 at 5:57pm.

A block of mass M is projected up a frictionless inclined plane with a speed VO. The angle of incline is given as theta.
a. How far up the plane does it go?
b. How much time does it take to get there?
I was stuck after Fg(cos(theta+90)= Ma_x
gcos(90+theta)/M = a_x
can someone please help me

newton's law - Damon, Saturday, October 13, 2012 at 8:01pm
kinetic energy at bottom = (1/2) M Vo^2
= potential energy at to when it stops
= m g h = M g (x sin theta)
so
(1/2) M Vo^2 = M g x sin thets

x = Vo^2/(2 g sin theta)

average speed = Vo/2

time = distance/average speed

= Vo^2/(2 g sin theta)] / [ Vo/2)]

= Vo/(g sin theta)
newton's law - jack, Sunday, October 14, 2012 at 6:47pm
thanks but my instrutor dont want me to use energy to solve the problem since we havnt learn it yet, can you do it using newton's law?

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