Calculate acceleration and speed of block

  • #1
chwala
Gold Member
2,650
351
Homework Statement
A block of wood of mass ##4## kg is released from rest on a plane inclined at ##30^0## to the horizontal. Assuming that the surface is modelled as smooth (no friction), calculate the acceleration of the block, and its speed after it has moved ##3## m.
Relevant Equations
Mechanics
Pretty straight forward, ...reason of posting is to check why i am having a negative value for ##a##.

From my study, i know that

##R(||)## to plane

##F - 40 \cos \dfrac{π}{3} = 4a##

##a = -5 m/s^2##

or can i as well have the equation ( friction and tension are at equilibrium) as,

##40 \cos \dfrac{π}{3} - F = 4a##

For second part,

##v^2 =u^2 +2as##

##v^2= 2×5×3##

...

##v = 5.48 m/s## to two decimal places.
 
Physics news on Phys.org
  • #2
chwala said:
Pretty straight forward, ...reason of posting is to check why i am having a negative value for a.
You've chosen down the ramp to be the negative direction!

What is "F" supposed to be in your equation?
 
  • #3
Doc Al said:
You've chosen down the ramp to be the negative direction!

What is "F" supposed to be in your equation?
Friction which is ##0##.
 
  • #4
chwala said:
Assuming that the surface is modelled as smooth (no friction)
If friction is 0, why include it in your equation?
 

Similar threads

  • Precalculus Mathematics Homework Help
Replies
5
Views
836
  • Precalculus Mathematics Homework Help
Replies
26
Views
2K
  • Introductory Physics Homework Help
Replies
22
Views
2K
Replies
1
Views
611
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
11
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
168
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
635
  • Introductory Physics Homework Help
Replies
4
Views
243
Back
Top