Answer
Here , in this question, clearly,
The force applied to the spring that cause it to elongate can be expressed as .
F = kx
The applied force is due to the weight of the pumpkin, which can be expressed as the mass (m) of
the pumpkin times acceleration of gravity, (g).
F = Weight = mg = kx
Solving for elongation, x, substituting values for pumpkin mass, acceleration of gravity, and
spring constant, and applying the appropriate conversion factor gives us
x= mg/k = ( 125 lb)/ 4.7 (lbf/in.))$\times$(32.2 ft/$s^{2}$)$\times$(1 lbf/32.174 lb.ft/$s^{2}$) = 2.66 in.
Work Step by Step
Here , in this question, clearly,
The force applied to the spring that cause it to elongate can be expressed as .
F = kx
The applied force is due to the weight of the pumpkin, which can be expressed as the mass (m) of
the pumpkin times acceleration of gravity, (g).
F = Weight = mg = kx
Solving for elongation, x, substituting values for pumpkin mass, acceleration of gravity, and
spring constant, and applying the appropriate conversion factor gives us
x= mg/k = ( 125 lb)/ 4.7 (lbf/in.))$\times$(32.2 ft/$s^{2}$)$\times$(1 lbf/32.174 lb.ft/$s^{2}$) = 2.66 in.
