Find the turning points for a 0.25-kg object in a potential of if its maximum kinetic energy is 5.0 J.

Question

Find the turning points for a 0.25-kg object in a potential of  if its maximum kinetic energy is 5.0 J.

Quizplus · Accepted Answer

The maximum kinetic energy is equal to the potential energy at the turning points. Therefore, we can use the equation:
K_max = U_turning points = 11ea821f_c6be_2a91_bbd8_4da5ec4c88f4_TB1516_11_TB1516_11_TB1516_11
Solving for the turning points, we have:
U = 11ea821f_c6be_2a91_bbd8_4da5ec4c88f4_TB1516_11_TB1516_11_TB1516_11 = 0.5kx^2
x = ±√[2(U/k)] = ±√[2(5/0.25)] = ±√40 = ±6.32 m
Therefore, the turning points are located at ±0.75 m from the equilibrium position (since the object has a mass of 0.25 kg). The correct answer is option C.

Find the Turning Points for a 0 ±\pm± 051 M B) ±\pm±

Find the Turning Points for a 0 $\pm$ 051 M
B) $\pm$