the first one is D idk what the second one is
The error is in saying that the acceleration is decreasing.
The statements says that the mass is moving from the equilibrium position toward the maximum positive displacement. That means that the mass is moving away from the equilibrium position.
As per the law of Hooke the force exerted by the spring is proportional to the displacement from the equilibrium, which means that the further is the spring from the position of equilibrim the greaer the force.
So, when the mass is moving away from the equilibrium position the force exerted by the spring on the mass is increasing.
Now you should see the mistake, because F = m*a when F (force) increases, a (acceleration) also increases. So it is a mistake saying that the acceleration is decreasing.
Answer:
<em> The distance required = 16.97 cm</em>
Explanation:
Hook's Law
From Hook's law, the potential energy stored in a stretched spring
E = 1/2ke² ......................... Equation 1
making e the subject of the equation,
e = √(2E/k)........................ Equation 2
Where E = potential Energy of the stretched spring, k = elastic constant of the spring, e = extension.
Given: k = 450 N/m, e = 12 cm = 0.12 m.
E = 1/2(450)(0.12)²
E = 225(0.12)²
E = 3.24 J.
When the potential energy is doubled,
I.e E = 2×3.24
E = 6.48 J.
Substituting into equation 2,
e = √(2×6.48/450)
e = √0.0288
e = 0.1697 m
<em>e = 16.97 cm</em>
<em>Thus the distance required = 16.97 cm</em>
V = AT
v = a/2 T
d = 1/2 a T^2
d = 1/2 a/2 T^2
1/2 at^2 = 1/4 aT^2
2t^2 = T^2
T = (Sqrt2)t
Hope this helps
