A simple harmonic oscillator consists of a block attached to a spring with k = 200 N/m. The block slides on a frictionless horizontal surface, with equilibrium point x = 0. A graph of the block’s velocity v as a function of time t is shown. Correctly match the required information in the left column with the values given in the right column. (use π 2 = 10)
Left Column | Right Column | ||
(a) | The block’s mass in kg | (p) | - 0.20 |
(b) | The block’s displacement at t = 0 in metres | (q) | - 200 |
(c) | The block’s acceleration at t = 0.10 s in m/s2 | (r) | 0.20 |
(d) | The block’s maximum kinetic energy in Joule | (s) | 4.0 |
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
r, p, q, s
Sol. V max = Aꞷ
⇒ A = 
= 
x (0.2) = 0.20m
T = 
⇒ m = 
= 0.2 kg
At t = 0.1, acc. is maximum
⇒ a max = – ꞷ 2 A = – 
× 0.2
= – 200 m/s 2
Maximum energy = 
= 4 J
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