Reasoning: The work done in stretching or compressing a spring is proportional to the square of the displacement. If we double the displacement, we do 4 times as much work. It takes
16 J to stretch the spring 20 cm from
its unstretched length, so it takes 12 J to stretch it from 10 cm to 20 cm.
How do you calculate work done by a spring force?
- F=-kx.
- WS=∫F(x)dx.
- ⇒WS=-12kx2.
- ⇒Kf=Ki.
How do you calculate work done by stretching?
In stretching a wire work is done against internal restoring forces. This work is stored as elastic potential energy or strain energy. If a force F acts along the length L of the wire or cross section A and stretches it by x then:
Young′sModulus(Y)=StressStrain=F/Ax/L=FLAx⇒F=YALx.
What is work done formula?
Work, in physics, measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement. … If the force is being exerted at an angle θ to the displacement, the work done is
W = fd cos θ.
How much work does it take to stretch a spring?
Reasoning: The work done in stretching or compressing a spring is proportional to the square of the displacement. If we double the displacement, we do 4 times as much work. It takes
16 J to stretch the spring 20 cm from
its unstretched length, so it takes 12 J to stretch it from 10 cm to 20 cm.
Can work done by spring force be positive?
Total work done by spring
force may be positive
, negative or zero. … though we know that the spring force is always directed towards mean position and the spring force is always negative.
What happens to the work done on the spring?
The spring force is called a restoring force because the force exerted by the spring is always in the opposite direction to the displacement. This is why there is a negative sign in the Hooke's law equation.
Pulling down on a spring stretches the spring downward
, which results in the spring exerting an upward force.
Can work done by spring force be zero?
Distance here is the displacement in the position of the spring. … 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.
Is spring force constant?
The force exerted by a spring on objects attached to its ends is proportional to the spring's change in length away from its equilibrium length and is always directed towards its equilibrium position. … The
proportional constant k
is called the spring constant.
What is current formula?
The current is the ratio of the potential difference and the resistance. It is represented as (I). The current formula is given as
I = V/R
. The SI unit of current is Ampere (Amp).
What is the equation for calculating work done?
Work can be calculated with the equation:
Work = Force × Distance
. The SI unit for work is the joule (J), or Newton • meter (N • m). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m.
What is dimensional formula of work done?
= Unit of work done is Joule. Therefore, the dimension formula of work is represented as
[M1 L2 T-2]
.
Why is the force of a spring negative?
The spring force is called a restoring force because
the force exerted by the spring is always in the opposite direction to the displacement
. This is why there is a negative sign in the Hooke's law equation. Pulling down on a spring stretches the spring downward, which results in the spring exerting an upward force.
Is the work done by a hand compressing a spring?
When the hand first started compressing the spring almost no force was needed. … Thereafter the force gradually increases until the point x.
The area of the shaded triangle
is the work done by the hand compressing the spring.
Is stretching a spring positive or negative work?
Is the work done by spring force is always negative The answer is again no,when you stretch/compress a spring the work done by spring force is negetive but when you release the stretched/compressed spring work done by spring force
is positive
.
How do you find the maximum compression of a spring?
$Rightarrow F = kx $ , here $ F $ is the force applied by a spring having the spring constant $ k $ due to an extension $ x $ in the spring. Thus the maximum compression of the spring comes out to be equal to
$ dfrac{{ma}}{k} $
.
