answer this plzzzzz ...tomorrow is my exam .
Attachments:
Answers
Answered by
2
here is ur answer sis
To find the Spring potential energy, we need to use the Hooke’s law. Since the potential energy is equal to the work done by a spring and work, in turn, is the product of force and distance, we get our force from Hooke’s law. Distance here is the displacement in the position of the spring.
In the figure, x is the displacement from the equilibrium position. When we pull the spring to a displacement of x as shown in the figure, the work done by the spring is :
W = 0∫xm Fdx = -∫kx dx = -k(xm)2/2
The work done by pulling force Fp is :
Fp = k (xm)2 / 2
The work done by the pulling force Fp is in positive as it has overcome the force of spring. Therefore,
W= k xm2 / 2
When displacement is less than 0, the work done by the springs force is
Ws = – kxc 2 / 2
and the work done by the external force F is = + kxc2/2. In the process of displacement of the object from initial displacement xi to final displacement, xf the work done is,
Ws = – xf∫xi kx dx = k xi2/2 – k xf 2/2
From the equation, it is clear that the work done by the force of spring depends only on the endpoints of displacement. Also, we can see that in a cyclic process, the work done by the springs force is zero. Hence, we can say that the spring force is a conservative force because it depends on the initial and final positions only. Therefore, this work done is in the form of the Spring potential energy.
To find the Spring potential energy, we need to use the Hooke’s law. Since the potential energy is equal to the work done by a spring and work, in turn, is the product of force and distance, we get our force from Hooke’s law. Distance here is the displacement in the position of the spring.
In the figure, x is the displacement from the equilibrium position. When we pull the spring to a displacement of x as shown in the figure, the work done by the spring is :
W = 0∫xm Fdx = -∫kx dx = -k(xm)2/2
The work done by pulling force Fp is :
Fp = k (xm)2 / 2
The work done by the pulling force Fp is in positive as it has overcome the force of spring. Therefore,
W= k xm2 / 2
When displacement is less than 0, the work done by the springs force is
Ws = – kxc 2 / 2
and the work done by the external force F is = + kxc2/2. In the process of displacement of the object from initial displacement xi to final displacement, xf the work done is,
Ws = – xf∫xi kx dx = k xi2/2 – k xf 2/2
From the equation, it is clear that the work done by the force of spring depends only on the endpoints of displacement. Also, we can see that in a cyclic process, the work done by the springs force is zero. Hence, we can say that the spring force is a conservative force because it depends on the initial and final positions only. Therefore, this work done is in the form of the Spring potential energy.
Attachments:
hurrphurrpoet:
Thank you so much
yeah i will
wlcm
Answered by
1
hope it will help you...
mark as brainliest....
mark as brainliest....
Attachments:
Similar questions