Question: 5
The length of the pendulum is 7.6 m.
<h3>What is the expression of length of a pendulum in term of time period?</h3>
- Time period of the pendulum (T) = 2π×√(L/g)
- L= length of pendulum, g = acceleration due to gravity on earth
So, L = T²g/4π²
<h3>What is the length of the pendulum, if the time period is 3.20 s and acceleration due to gravity becomes 3×g?</h3>
- T= 3.20 s
- L = (3.2²×3×9.8)/4π²
= 7.6 m
Thus, we can conclude that the length of the pendulum is 7.6 m i.e option C is correct.
Learn more about the pendulum motion here:
brainly.com/question/15261645
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Question: 6
The object takes 2.55 seconds to reach the ground.
<h3>What is the expression of time taken to reach the earth surface by an object?</h3>
- From the conversation of energy, (1/2)mv²=mgh
- So, v=√(2gh)
- From Newtown's equation of motion, v=u+at
- Here, a= acceleration due to gravity which is g
- So, √(2gh)=gt
t= √(2h/g)
<h3>What is the time taken by an object dropped from 31 m to reach the ground?</h3>
t= √(2×31/9.8)
= 2.55s
Thus, we can conclude that the option A is correct.
Learn more about the conversation of energy here:
brainly.com/question/24772394
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