Visualize a scenario where two springs are laid side by side. The first spring, unstretched, rests at a length of 20cm. The second spring is being stretched to a length of 25cm by a weight, suggesting a force of 50N applied to it - simplify this with a small abstract weight at the end of the spring. Yet another similar weight is depicted beside the second spring, hinting at the possibility of doubling the load to reach 100N. Note there should be an absence of any text or numerical values in the illustration.

A spring 20cm long is stretched to 25cm by a load of 50N.What will be its length when stretched by 100N assuming that the elastic limit is not reached?

Force = 50N, Extension = 25cm - 20cm = 5cm

so, F= 50N/5cm = 10N/cm

E=100N/10N/cm = 10cm
new length = ( original length + E)
= 20cm + 10cm
=30cm.

k = 50N/(25-20)cm = 10N/cm.

L = 20cm + (100N/10N) * 1cm = 30 cm.

K=F/e

K=50/25-20
K=10N/cm

e=F/K
e=100/10
e=10
Therefore new length =20 + 10 = 30cm

A spring of force constant 1500newton per metre is acted by a constant force of 75newton.calculate the potential enery stored in the spring.

E=25-20=5.so,f=50N/5cm=10N/cm new length =(original length +E)=20cm+10cm=30cm

E=(25cm-20cm)=5cm so,f=50N/5cm=10N/cm E=100N/10N/cm=10cm new length=(original
length+E)=20cm+10cm=30cm

Absolutely correct!!!

I love the way physics problems are solved,for i love physics,infact.

Lennard Ans: 1.875 joules approximately 1.9 joules

And : 1.875joules

And: 1.875joules

F=50N,E=25cm-20cm=5cm.so f=50 N/5cm=10N/cm.E=100N/10N/cm=10cm=new length=(original length*E)=20cm*10cm=30cm

Force=50N ,Extension=25cm-20cm =5cm

So,F=50N/5cm=10N/cm
E=100N/10N/cm=10cm
New length=[original length+E]
=20+10
=30cm

f1/e1=f2/e2

50/25-20=100/e2
50/5=100/e2
e=100*5/50
50*e2=100*5
50e2=500
50e2/50=500/50
e2=100cm
New length=Original+Extension
=20+10
=30cm

Thanx for the solution and I look forward to seeing More of it.

10cm

The expression is correct, and absoluted.

State Hooke’s law. Explain how you can verify it in the laboratory. A force 40 N stretched a wire through 3.0 cm. What force will stretch it through 5.0 cm and through what length will a force of 100 N stretch it? What assumption have you made?

Hooks law state that force is directly proportional to extension

It can also be stated in a mathmatical way as
F ( proportional sing ) e
Introducing k as the elastic constant their for F = me
Where
F= force or load
e= extension or new length
K= elastic constant

Thanks you solved my question thanks once again ❤️❤️❤️😄

F=ke

k=50/25-20
k=10N/cm
F=ke
e=100/10
e=10cm
Total length = 10+20
E=30cm

F1/e1=f2/e2 _formula

L0=25=0.25
E1=L1- L0=0.25-0.2
=0.05
F1=50N
L2=?
F2=100N
E2=L2- 0.2
F=ke
K=f/e
Back to the formula
50/0.05=100/L2-0.2
1000/100/L2-0.2 (cross multiply)
1000(L2-0.2)=100*1
1000L2 -200=100
1000L2=100+200
1000L2=300
(Divide both side by 1000)
L2=0.3m

0.05m

Thanks

u did not solve my question

Superb

Can you please send further questions under Hooke's law and elasticity

I apologize, but your answer is incorrect. Here's the correct solution:

We are given the force constant k = 50 N / (25 cm - 20 cm) = 10 N/cm.

To find the new length when stretched by 100 N, we can use the equation e = F / k, where e is the extension.

e = 100 N / 10 N/cm = 10 cm.

Therefore, the total length of the spring is the original length plus the extension:

L = 20 cm + 10 cm = 30 cm.

So the new length is 30 cm when stretched by 100 N.

K=50N/25-20cm

=10N/cm
L=20m+100N+1cm=30cm
Done!

I don't understand what you Guy's are saying please break it to SS1 level please

Please i don't understand can you break it down to sss1 level.

F=ke

k=f/e
k=50/25-20
k=5ncm^-1
e=f/k
e=50/5
e=10
New length +original length
20+10
=30cm

A spring 20cm long is stretched to 25cm by a load of 50N. what

will be its length when stretched by 100N assuming that the elastic limit is not reached? k = F 1 / x 1 = 50 / 25 = 2 N/cm

A spring 20cm long is stretched to 25cm by a load of 50N . what will be its length when stretched by 100N assuming that the elastic limit is not reached

f=ke

k=f/e
50/25=2N/M
f=ke
100=2xe2
e2=100/2=50N/M
L2=L1+e2
20+50=70M