Respuesta :
a) U = 0 J
k = 0.383 J
E = 0.383 J
b) U = 0.0228 J
k = 0.155 J
E = 0.383 J
c) U = 0.1104 J
k = 0.272 J
E = 0.383 J
d) U = 0.248 J
k = 0.177 J
E = 0.383 J
Method for solving:
The equations for kinetic energy is:
k= 1/2*m*[tex]v^{2}[/tex]
The equation for elastic potential energy is:
U= 1/2*ks*[tex]x^{2}[/tex]
Where,
m= mass of the block
v= velocity
ks= spring constant
x= displacement of the spring
(a)when compression= 0 cm
U= 1/2*ks*[tex]x^{2}[/tex]
U= 1/2*552*
= 0 J
Kinetic energy:
k= 1/2*m*[tex]v^{2}[/tex]
k= 1/2*(1.05)*
k= 0.383 J
Mechanical energy:
E= k + U
E= 0.383+0
E= 0.383 J
- There will be no work done by friction or any other dissipative force, hence this energy will be conserved, or it will remain constant (like air resistance).
- This indicates that only spring potential energy will be created from the kinetic energy (there is no thermal energy due to friction, for example).
(b) spring potential = ?
U= 1/2* 457 N/m*[tex](0.01)^{2}[/tex]
U= 0.0228 J
Since the mechanical energy must remain constant, we may calculate the kinetic energy using the mechanical energy equation:
E= k + U
0.383= k + 0.0228
k= 0.383 - 0.228
k= 0.155
(c)spring constant when x= 0.02
U= 1/2*552*[tex](0.02)^{2}[/tex]
U= 0.1104 J
Using the equation of mechanical energy:
E= k +U
0.383= k+ 0.1104
k= 0.383 - 0.1104
k= 0.272 J
(d) U= 1/2*552*[tex](0.03)^{2}[/tex]
U= 0.2484 J
E= 0.383 J
k = E - U
k= 0.383- 0.206
k= 0.177
To learn more about spring potential energy visit:
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