The first answer should be correct if not then the second one
Answer:
Acceleration will be equal to
Explanation:
We have given mass of the object m = 0.4 kg
Spring constant k = 8 N/m
Maximum displacement of the spring is given x = 0.1 m
From newton's law force is equal to
.....eqn 1
By hook's law spring force is equal to
.....eqn 2
From equation 1 and equation 2
![ma=kx](https://tex.z-dn.net/?f=ma%3Dkx)
![0.4\times a=8\times 0.1](https://tex.z-dn.net/?f=0.4%5Ctimes%20a%3D8%5Ctimes%200.1)
![a=2m/sec^2](https://tex.z-dn.net/?f=a%3D2m%2Fsec%5E2)
So acceleration will be equal to ![2m/sec^2](https://tex.z-dn.net/?f=2m%2Fsec%5E2)
Answer:
Explanation:
Expression for time period of pendulum is given as follows
![T=2\pi\sqrt{\frac{l}{g} }](https://tex.z-dn.net/?f=T%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Bl%7D%7Bg%7D%20%7D)
where l is length of pendulum and g is acceleration due to gravity .
Putting the given values for first place
![2.67=2\pi\sqrt{\frac{l}{9.77} }](https://tex.z-dn.net/?f=2.67%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Bl%7D%7B9.77%7D%20%7D)
Putting the values for second place
![T=2\pi\sqrt{\frac{l}{9.81} }](https://tex.z-dn.net/?f=T%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Bl%7D%7B9.81%7D%20%7D)
Dividing these two equation
![\frac{T}{2.67} =\sqrt{\frac{9.77}{9.81} }](https://tex.z-dn.net/?f=%5Cfrac%7BT%7D%7B2.67%7D%20%3D%5Csqrt%7B%5Cfrac%7B9.77%7D%7B9.81%7D%20%7D)
T = 2.66455 s.