the particle's turning points : x = 1, x = 2, x = 4.
the particle's speed when it is at x= 2.0 : v = 4,472 m/s
the particle's maximum speed : v = 7,746 m/s, at x=1 and x=4
Further explanation
Energy is the ability to do work
Energy because its motion is expressed as Kinetic energy (KE) which can be formulated as:
\(\large{\boxed{\bold{KE=\frac{1}{2}mv^2}}}\)
So for two objects that have the same speed, the greater the mass of the object, the greater the kinetic energy
Whereas for a stationary object it has kinetic energy = 0
While the energy produced from its position is called potential energy (PE)
which can be formulated as:
Ep = m. g. h
⇒ gravitational potential energy
The sum of kinetic and potential energy is called mechanical energy
ME = KE + PE
The particle's turning points is the point where the particle changes its direction of motion, because the motion of a particle can be considered as a vector
In the picture, turning points are shown at x = 1, x = 2, x = 4.
the particle's speed when it is at x = 2.0 m
:
The potential energy (PE) value in the figure when x = 2 is 8 J
Because it is known that ME = 12 J, particle velocity can be found from the kinetic energy equation
KE = ME - PE
KE = 12 - 8
KE = 4 J
\(\rm KE=\frac{1}{2}mv^2\\\\m=400\:g=0.4\:kg\\\\4=\frac{1}{2}0.4.v^2\\\\v=4,472\frac{m}{s}\)
the particle's maximum speed
The maximum particle velocity occurs when PE = 0 and KE = ME
The lowest particle velocity occurs when KE = 0 and PE = ME
So :
KE = ME
\(\rm KE=1\:J\\\\12=\frac{1}{2}.0.4.v^2\\\\v=7,746\frac{m}{s}\)
The position when the particle on the maximum speed (PE = 0) occurs when particles at x = 1 and x = 4
Learn more
The kinetic energy of the vehicle
https://brainly.com/question/13264958
law of motion
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displacement of A skateboarder
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Keywords: kinetic energy, speed,particle,turning points, motion, work, potential energy, mechanical energy
