The kinematics and Newton's second law allow us to find the results for the questions of the motion of body are:
A. The acceleration of the body is: [tex]a = \frac{v^2- v_o^2}{2s}[/tex]a = v² - vo² / 2s
B. The external force is: F =[tex]m \frac{v^2 - v_o^2}{2s}[/tex]
C. The work is: W = ΔK
Kinematics studies the movement of bodies, finding relationships between the position, speed and acceleration of bodies.
A. They ask to find the acceleration of the body.
v² = v₀² + 2a (x-x₀)
a = [tex]\frac{v^2 -v_o^2 }{2s}[/tex]
B. Ask for the net force on the particle.
For this we use Newton's second law that establishes a relationship between the force, the mass and the acceleration of the body.
F = ma
We substitute
F = [tex]m \ \frac{v^2-v_o^2}{2s}[/tex]
C. Work is defined as the scalar product of force times displacement.
W = F. s
In this case the force and the displacement have the same direction,
W = F s
We substitute
[tex]W= m \frac{v^2-v_o^2}{2}\\W = \Delta K[/tex]
In conclusion, using kinematics and Newton's second law we can find the results for the questions of the motion of bodies are:
A. The acceleration of the body is: [tex]a = \frac{v^2-v_o^2 }{2s}[/tex]
B. The force is: [tex]F= m \frac{v^2-v_o^2}{2s}[/tex]
C. The work is W = ΔK
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