What is the motion of the object?
1 answer:
Answer:
<em>Thus, the object is accelerating to the left</em>
Explanation:
<u>The Net Force</u>
The net force is the result of adding all the forces as vectors acting on a body.
Each vector can be expressed in its rectangular components Fx and Fy, and the sum is the sum of the rectangular components separately.
Second Newton's law gives the relation between the net force and the acceleration of the body:
We can see the acceleration is a vector with the same direction as the net force.
The diagram shows two vertical forces and two horizontal forces.
The vertical forces are acting in opposite directions and with the same magnitude, thus they cancel out, leaving zero net force in the y-axis.
The horizontal forces are opposite and with different magnitudes. Since the force acting to the left (F3) has a greater magnitude than the force acting to the right (F4), there is a net force directed to the left with a magnitude of 60 N - 20 N = 40 N
Thus, the object is accelerating to the left
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To solve this problem, it is necessary to apply the concepts related to the work done by a body when a certain distance is displaced and the conservation of energy when it is consumed in kinetic and potential energy mode in the final and initial state. The energy conservation equation is given by:
Where,
KE = Kinetic Energy (Initial and Final)
PE = Potential Energy (Initial and Final)
And the other hand we have the Work energy theorem given by
Where
W= Work
F = Force
D = displacement,
PART A) Using the conservation of momentum we can find the speed, so
The height at the end is 0m. Then replacing our values
Deleting the mass in both sides,
Re-arrange for find
PART B) Applying the previous Energy Theorem,
Solving for d