Answer:
1.15 m/s
Explanation:
Part of the question is missing. Found the missing part on google:
"1. A hanging mass of 1500 grams compresses a spring 2.0 cm. Find the spring constant in N/m."
Solution:
First of all, we need to find the spring constant. We can use Hooke's law:

where
is the force applied to the spring (the weight of the hanging mass)
x = 2.0 cm = 0.02 m is the compression of the spring
Solving for k, we find the spring constant:

In the second part of the problem, the spring is compressed by
x = 3.0 cm = 0.03 m
So the elastic potential energy of the spring is

This energy is entirely converted into kinetic energy of the cart, which is:

where
m = 500 g = 0.5 kg is the mass of the cart
v is its speed
Solving for v,

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Answer:
(c) As 'd' becomes doubled, energy decreases by the factor of 2
Explanation:
Energy stored in a parallel plate capacitor is given by:
As capacitor remains connected to the battery so V remains constant. As can be seen from (1) that energy is inversely proportional to the separation between the plates so as 'd' becomes doubled, energy decreases by the factor of 2.