If a bow holds 500J of potential energy as the arrow is pulled back, how much kinetic energy will the arrow have after it has be
1 answer:
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Answer:
the required value is
Explanation:
Given that,
mass, m = 1kg
spring constant k = 21N/M
damping force =
By Newtons second law ,
The diffrential equation of motion with damping is given by
substitute the value of m =1kg, k = 21N/M, and
suppose the equation of the form ,
and the auxilliary equation is given by
The general solution for the above differential equation is
Derivate with respect to t
(a)
since time is 0 then mass is one meter below
so x(0) = 1
Also it start from rest , that implies , velocity is 0 and time is 0
substitute the initial condition
Solve the above equation to get C₁ and C₂
substitute for C₁ and C₂ in general solution
Thus the required value is