two springs have their force constants K1 and K2 (K1>K2).When they are stretched by the same force work done is
1. same in both the springs
2. more in spring K1
3. more in spring K2
4. independent of spring constant K
Answers
Answer:
Explanation:
Work done is given by: W=
2
1
kx
2
where k is spring constant and x is displacement.
If we have two springs :
W
1
=
2
1
k
1
x
1
2
W
2
=
2
1
k
2
x
2
2
Force is given by F=−kx
(i)If force is same for both: k
1
x
1
=k
2
x
2
W
2
W
1
=
2
1
k
2
(k
2
x
2
)
2
2
1
k
1
(k
1
x
1
)
2
=
2
1
k
1
(k
1
x
1
)
2
×
(k
2
x
2
)
2
2k
2
=
k
1
k
2
W
2
>W
1
(ii) If stretched by same distance:
W
2
W
1
=
2
1
k
2
x
2
2
2
1
k
1
x
1
2
=
2
1
k
1
x
1
2
×
k
2
x
2
2
2
And x
1
=x
2
,
W
2
W
1
=
k
2
k
1
W
1
>W
2
Answer:
Two springs have force constants k1 and k2(k1>k2). On which spring is more work done, if (i) they are stretched by the same force and (ii) they are stretched by same distance? Work done is given by: W=21kx2 where k is spring constant and x is displacement