A particle with a mass of 0.2 kg moves according to the law…

Physics Work, Energy, Power and Collision Mix MCQ (Single Correct)

A particle with a mass of 0.2 kg moves according to the law

x = 0.08 cos (20 пt + п/4)

x is in meter and t is in seconds. Then -

Magnitude of maximum acceleration of the particle is 32п 2 m/s 2

Total energy of the particle is approximately 2.56 Joule

Frequency of the period of the variation of kinetic energy is 20 Hz

Time period of motion of particle is 0.1s

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a, b, c, d)

x = 0.08 cos (20 π t + )

ω = 20 π

2 πν = 20 π ⇒ ν = 10s –1

A = 0.08 m

ω A = 20 × 0.08 π = 1.6 π m/s

T = = 0.1s

T.E. = m ω 2 A 2 = × 0.2 × (16 π ) 2

= 0.1 × 2.56 × π 2 = 2.56 J

a max = ω

2 A

= (20 π ) 2 × 0.08 m/s 2

= 32 π 2 m/s 2

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