Three blocks are in contact with each other on a frictionless horizontal surface. A 402 N
horizontal force is applied to the block with mass of 2.9 kg as shown in the figure below.
The acceleration of gravity is 9.8 m/s2.
a. What is the net force on the block with mass 2.9 kg? Answer in units of N.
b. What is the resultant force on the block 2 with mass 5.4 kg? Answer in units of N
c. What is the resultant force on the block with mass 8.4 kg? Answer in units of N.
d. What is the magnitude of the force between the block with mass 5.4 kg and 8.4 kg? Answer in units of N.
e. What is the magnitude of the force between the block with mass 2.9 kg and 5.4 kg? Answer in units of N.
The Attempt at a Solution
I'm starting out by drawing the free body diagrams for each of the blocks. I'm using the +i to the right and +j to the top.
So far, I have:
2.9 kg block (1)
F(applied) = +Fi
F(gravity) = -m(1)gj
N(1) = +N(1)j
5.4 kg block (2)
F(gravity) = -m(2)gj
N(2) = +N(2)j
8.4 kg block (3)
F(gravity) = -m(3)gj
N(3) = +N(3)j
How do I put in the other forces for each block touching the one next to it?
Once I get the other normal forces, I can add the j and i for each block and I will have the net forces for each block.
How would I get d and e, the magnitudes of the force between the blocks?
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