To find the change in length (delta*L), we can use Hooke's Law formula:
F = k deltaL
Where:F = Force appliedk = spring constant (2000000 N/m)delta*L = change in length
We know the force applied is the weight of the mass, which is given by:
F = m gF = 10000 kg 9.81 m/s^2F = 98100 N
Now we can set the two equations equal to each other:
k deltaL = 98100 N
Solving for delta*L:
deltaL = 98100 N / 2000000 N/mdeltaL = 0.04905 m or 4.905 cm
Therefore, the change in length (delta*L) is 0.04905 meters or 4.905 cm.
To find the change in length (delta*L), we can use Hooke's Law formula:
F = k deltaL
Where:
F = Force applied
k = spring constant (2000000 N/m)
delta*L = change in length
We know the force applied is the weight of the mass, which is given by:
F = m g
F = 10000 kg 9.81 m/s^2
F = 98100 N
Now we can set the two equations equal to each other:
k deltaL = 98100 N
Solving for delta*L:
deltaL = 98100 N / 2000000 N/m
deltaL = 0.04905 m or 4.905 cm
Therefore, the change in length (delta*L) is 0.04905 meters or 4.905 cm.