Un movil aumenta su velocidad de 10m/s a 20m/s acelerando uniformemente a razon de 5m/s2 ¿que distancia logro en dicha operacion
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A) The total energy of the system is sum of kinetic energy and elastic potential energy:
where
m is the mass
v is the speed
k is the spring constant
x is the elongation/compression of the spring
The total energy is conserved, so we can calculate its value at any point of the motion. If we take the point of maximum displacement:
then the velocity of the system is zero, so the total energy is just potential energy, and it is equal to
b) When the position of the object is
the potential energy of the system is
and so the kinetic energy is
since the mass is
, and the kinetic energy is given by
we can re-arrange the formula to find the speed of the object:
c) The potential energy when the object is at
is
Therefore the kinetic energy is
d) We already found the potential energy at point c, and it is given by
where
m is the mass
v is the speed
k is the spring constant
x is the elongation/compression of the spring
The total energy is conserved, so we can calculate its value at any point of the motion. If we take the point of maximum displacement:
then the velocity of the system is zero, so the total energy is just potential energy, and it is equal to
b) When the position of the object is
the potential energy of the system is
and so the kinetic energy is
since the mass is
we can re-arrange the formula to find the speed of the object:
c) The potential energy when the object is at
is
Therefore the kinetic energy is
d) We already found the potential energy at point c, and it is given by