I need help with these two ques. 14-PHY2400 of 0.250 s. the total energy of the

Question

I need help with these two ques.

14-PHY2400 of 0.250 s. the total energy of the system is 6.693. A 335 g object is attached to a spring and executes simple harmonic motion with a period of 0.250 s. If the total energy of (a) Pind the maximum speed of the object (b) Find the force constant of the spring. N/m (c) Find the amplitude of the motion. Need Help? t points SerPSES 15.P 035 A simple pendulium makes 98 complete cscillations in 3.60 min at a location where g-9.80 mys (a) Find the peried of the pendulum. (b) Find the length of the pendulum Need Help? 5 6 8 9

Explanation / Answer

a)

Maximum speed

E = ( 1 / 2 ) mv^2

6.69 J = ( 1 /2 ) mv^2

v =(2 ( 6.69 ) / 0/335 kg ) ^ ( 1/2 )

=6.319 m/s

b)

sqrt ( k / m ) = 2 pi / T

k /m = 4 pi^2 / T ^2

k = 4 pi^2 (0.355 kg ) / ( 0.250 s) ^2

=224.23

amplitude

A = v / w

= 6.319 m/s / sqrt ( 224.23 / 0.335 )

= 0.244 m

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