Two identical blocks oscillate on friction-free surfaces

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

Two identical blocks oscillate on friction-free surfaces. Block 1 is attached to a spring with constant

k_1

, and Block 2 to a spring with constant

k_2 = 2k_1

. Both blocks are released from rest at the same amplitude

A

. Which statement best describes their total mechanical energies

E_1

and

E_2

? (a)

E_1 = E_2

because both amplitudes are the same (b)

E_1

is twice

E_2

because Block 1’s spring constant is smaller (c)

E_2

is twice

E_1

because Block 2’s spring is stiffer (d)

E_1

cannot be compared with

E_2

without knowing the masses