Blocks x and y exerts action-reaction forces on each other with 146.1 N and 53.1 N respectively.
The given parameters:
mass of block x = 10 kg
mass of block y = 5 kg
magnitude of the frictional force of block x = 8 N
magnitude of the frictional force of block y = 4 N
the applied force to the right = 40 N
To find:
- the action-reaction forces that the blocks exert on each other
The block y pulls block x to the left with the following reaction forces;
Force of block y = force due to its own weight + frictional force
- Reaction Force of block y = mg + 4 N
where;
g is the acceleration due to gravity = 9.81 m/s²
- Reaction Force of block y = (5 x 9.81) + 4
- Reaction Force of block y = 49.1 + 4
- Reaction Force of block y = 53.1 N
Thus, block y reacts on block x with a force of 53.1 N
The block x acts on block y towards the right direction with following forces;
Force of block x on y = force due to its own weight + frictional force + applied force to the right
- Force of block x on y = (mg) + (8 N) + (40 N)
- Force of block x on y = (10 x 9.81) + (48)
- Force of block x on y = 98.1 + 48
- Force of block x on y = 146.1 N
Thus, block x acts on block y with a force of 146.1 N
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