A vertical force is applied to a block of mass m that lies on a floor. What happens to the magnitude of the normal force on the block from the floor as magnitude is increased from zero if force is (a) downward and (b) upward?
a) The normal force would increase with the increase in applied downward force.
b) The normal force would decrease with an increase in applied upward force.
The problem deals with Newton’s third law of motion which states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. If the box is at rest then it exerts the force on the floor, that is the weight of the box, and the floor exerts the normal force on the box. This is Newton’s third law, which says every action has an equal and opposite reaction. This normal force by the floor depends directly upon the force applied to the box.
For downward force, we can write,
As F increases, i.e. normal force would also increase.
For upward force, we can write,
From this, we can conclude that the normal force would decrease as we increase the upward applied force.
Two horizontal forces and act on a disk that slides over frictionless ice, on which an x-y coordinate system is laid out. Force is in the positive direction of the x axis and has a magnitude of . Force has a magnitude of. Figure gives the x component of the velocity of the disk as a function of time t during the sliding. What is the angle between the constant directions of forces and ?
A particle moves along an x axis, being propelled by a variable force directed along that axis. Its position is given by role="math" localid="1657014461331" , with x in meters and t in seconds. The factor c is a constant. At the force on the particle has a magnitude of and is in the negative direction of the axis. What is c?
Two horizontal forces act on a 2.0kg chopping block that can slide over a frictionless kitchen counter, which lies in an x-y plane. One force is . Find the acceleration of the chopping block in unit-vector notation when the other force is (a) role="math" localid="1657018090784" (b) Find the acceleration of the chopping block in unit-vector notation when the other force is role="math" localid="1657018141943" and (c) Find the acceleration of the chopping block in unit-vector notation when the other force is
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