Answer:
Explanation:
Using Hooke's law
Elastic potential energy = 1/2 K x²
K is elastic constant of the spring
x is the extension of the spring
a) The elastic potential energy when the spring is compressed twice as much Uel = 1/2 k (2x₀) ² = 4 (1/2 kx₀²)= 4 U₀
b) when is compressed half as much Uel = 1/2 k 
= 
( U₀)
c) make x₀ subject of the formula in the equation for elastic potential
x₀ =
x, the amount it will compressed to tore twice as much energy = 
x = √2 x₀
d) x₁, the new length it must be compressed to store half as much energy = 
x₁ = 
x₀
Answer:
The charge stored is 
The energy stored is 
Explanation:
From the question we are told that
The area of the plates is 
The separation between the plate is 
The potential difference is 
The permitivity of free space is 
The dielectric constant of glass is K = 5.0
Generally the capacitance of this capacitor is
substituting values
The charge stored is mathematically evaluated as
substituting values
The energy stored is
substituting values
Answer:
<h2>4.5 N</h2>
Explanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 0.75 × 6 = 4.5
We have the final answer as
<h3>4.5 N</h3>
Hope this helps you
Answer:
Explanation:
F = ma and
We have F, we have m, but in order to solve for v, we need a.
30.0 = 3.00a so
a = 10.0 m/s/s. Plug that in for a in the second equation and solve for v:
so
v = 10.0(3.00) so
v = 30.0 m/s
