Three different experiments are conducted that pertain to the oscillatory motion of a pendulum. For each experiment, the length of the pendulum and the mass of the pendulum are indicated in all experiments, the pendulum is released from the same angle with respect to the vertical. If the students collect data bout the kinetic energy of the pendulum as a function of time for each experiment, which of the following claims is true? a. The da ta collected from Experiment 1 will be the same as the data collected from Experiment 2. b. The data collected from Experiment 1 will be the same as the data collected from Experiment 3. C. The data collected from Experiment 2 will be the same as the data collected from Experiment 3. d. The data collected from each experiment will be different.

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Answer:

Check the explanation

Explanation:

Their is no data provided for the mass and length of pendulum in the picture.but it is very easy to check kinetic energy.KE is mv^2/2, m is the pendulum Bob and v is time dependent ,equation of displacement of SHM is given as x(t)=Asin(wt+∆) where ∆ is the phase angle now v=dX/dt _v=Awcos(wt+∆) and KE=[tex]mA^2.w^2(cos(wt+∆))^2/2,[/tex]

Thus w angular frequency of oscillation is√(g/l)

g acceleration due to gravity and l length of pendulum.so KE is same for pendulum having same mass and length otherwise KE expression with time will vary for all other cases.now check if all experiment pendulum have same mass and length otherwise KE will not be same.You can now easily verify.

The data collected from all experiments by the students will be different. Option D is correct.

Kinetic energy:

The kinetic energy of the pendulum depends upon the length and mass and angle of the pendulum.

Since the angle is the same in all three experiments. Mass and length will decide the kinetic energy of the pendulum.

As students measure the kinetic energy against the function of time, the period of the pendulum will also vary.

The period of the pendulum can be calculated by the formula,

[tex]T = 2\pi \sqrt{ \dfrac lg}[/tex]

Where,  

[tex]l[/tex] - length  

[tex]g[/tex] - gravitational acceleration,

Therefore, the data collected from all experiments by the students will be different. Option D is correct.

To know more about the period of the pendulum:  

brainly.com/question/6951404

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