The spring balance used for measuring mass of a wooden block has 20 divisions between 0-10 g mark on its scale. When the block is hanged on the balance, the pointer reaches 14th mark below 80g mark. Find the mass of the block.
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Answer:
According to the question,
The maximum mass scale can read M=50kg
The maximum displcement of spring =
length of scale, l=20cm=0.2m
T (time period) =0.6s
Maximum force exerted on the spring F=mg
So,
g=acceleration due to gravity =9.8m/s
2
F=50×9.8=490
Since, speing constant,
k= lF
= 0.2490
=2450Nm −1
m is suspended from the balance
T=2π km
Since,
m=( 2πT2 ×k
=( 2×3.140.6 ) 2 ×2450
≈22kg
Explanation:
hope it helps you
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