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The diagram below shows a block of mass m=2.0\; \rm kg on a frictionless horizontal surface, as seen from above. Three forces of magnitudes F_1 = 4.0\;{\rm N}, F_2 = 6.0\;{\rm N}, and F_3 = 8.0\;{\rm N} are applied to the block, initially at rest on the surface, at angles shown on the diagram.
1. Calculate the magnitude of the total resultant force \vec{F}_{\rm r} = \vec{F}_1+ \vec{F}_2 +\vec{F}_3 acting on the mass.
2. What angle does F_r_vec make with the positive x axis?
3. What is the magnitude of the mass's acceleration vector, a_vec?
4. What is the direction of a_vec? In other words, what angle does this vector make with respect to the positive x axis?
5. How far (in meters) will the mass move in 5.0 s?
6. What is the magnitude of the velocity vector of the block at t = 5.0\;{\rm s}?
7. In what direction is the mass moving at time t = 5.0\;{\rm s}? That is, what angle does the velocity vector make with respect to the positive x axis?I just need clarification on how to start this problem...do I simply use Fnet = ma? and to find the resultant I am assuming I need the magnitude of vectors forumla, but how do I use it here?
any help will be greatly appreciated.
http://img216.imageshack.us/img216/6486/1206lb2.th.jpg
1. Calculate the magnitude of the total resultant force \vec{F}_{\rm r} = \vec{F}_1+ \vec{F}_2 +\vec{F}_3 acting on the mass.
2. What angle does F_r_vec make with the positive x axis?
3. What is the magnitude of the mass's acceleration vector, a_vec?
4. What is the direction of a_vec? In other words, what angle does this vector make with respect to the positive x axis?
5. How far (in meters) will the mass move in 5.0 s?
6. What is the magnitude of the velocity vector of the block at t = 5.0\;{\rm s}?
7. In what direction is the mass moving at time t = 5.0\;{\rm s}? That is, what angle does the velocity vector make with respect to the positive x axis?I just need clarification on how to start this problem...do I simply use Fnet = ma? and to find the resultant I am assuming I need the magnitude of vectors forumla, but how do I use it here?
any help will be greatly appreciated.
http://img216.imageshack.us/img216/6486/1206lb2.th.jpg
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