(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The figure below shows an initially stationary block of mass m on a floor. A force of magnitude F=0.540mg is then applied at upward angle θ = 21°.

(a) What is the magnitude of the acceleration of the block across the floor if (a) s = 0.600 and k = 0.500?

(b) What is the magnitude of the acceleration of the block across the floor if s = 0.400 and k = 0.300?

2. Relevant equations

F=ma and F=s(N) or F=k(N)

3. The attempt at a solution

Well i drew a Free Body Diagram and found the forces in the x and y direction:

x: F(s)-Fcos(21)=0

y: mg-Fsin(21)-N=0

Then i solved for F(s)=Fcos(21)=0.54mg(cos(21))=4.94m

then i used F=s(N) to solve for N

N=8.233m

Then i set F=ma and F=s(N) equal and solved for a

a=8.233(.500)=4.11

I repeated the same steps for B...but the answers are not correct. Any help at all will be appreciated!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Acceleration of a block on the floor

**Physics Forums | Science Articles, Homework Help, Discussion**