The law applied here is Hooke's Law which describes the force exerted by the spring with a given distance. The equation for this is F = kΔx, where F is the force in Newtons, k is the spring constant in N/m while Δx is the displacement in meters.
If you want to find work done by a spring, this can be solved by using differential equations. However, derived equations are already ready for use. The equation is
W = k[{x₂-x₁)² - (x₁-xn)²],
where
xn is the natural length
x₁ is the stretched length
x₂ is also the stretched length when stretched even further than x₁
In this case xn =x₁. So, that means that (x₁-xn) = 0 and (x₂-x₁) = 11 cm or 0.11 m.
Then, substituting the values,
2 J = k (0.11² -0²)
k = 165.29 N/m
Finally, we use the value of k to the Hooke's Law to determine the Force.
F = kΔx = (165.29 N/m)(0.11 m)
F = 18.18 Newtons
Explanation:
The law of conservation of energy is one of the fundamental laws of science that helps to understand energy in nature.
Energy is the ability to do work. There are different forms of energy.
Generally, energy is classified into potential and kinetic forms of energy. Potential energy is the energy at rest in a body. It is due to the position of the body.
Kinetic energy is the energy due to the motion of a body.
There are different forms of kinetic and potential energy and they are related by the law of conservation of energy.
The law states that "in an isolated system, energy is neither created nor destroyed by transformed from one form to another".
An isolated system is a system in which there is no exchange of matter and energy.
Due to this we know that no new energy is created or destroyed, they are only transformed from one form to the other.
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Answer:
a2 = 2.5 m/s2
Explanation:
F1 = m1 a1 We use the same force so F1 = F2
= 5kg × 15m/s2 F2 = m2 a2
= 75N a2 is required
a2 = F2 / m2
= 75N / 30 kg
= 2.5 m/s2
On a velocity - time graph, if the line crosses the x - axis it depicts that the object has started moving in the opposite direction.