The work done in stretching the spring from 50 cm to 80 cm is 67.5 J.
<h3>Hooke's Law</h3>
Hooke's law states that the force applied to an elastic material is directly proportional to its extension, provided its elastic limit is not exceeded.
To calculate the amount of work done by Hooke's law, first, we need to find the force constant of the spring.
Formula:
- F = ke................. Equation 1
Where:
- F = Force applied
- k = Spring constant
- e = extension
make k the subject of the equation
- k = F/e................ Equation 2
From the question,
Given:
- F = 450 N
- e = 30 cm = 0.3 m
Substitute these values into equation 2
Finally, To find the work done in stretching the spring from 50 cm to 80 cm, we use the formula below.
- W = ke²/2........... Equation 3
Where:
- W = Work done
- k = spring constant
- e = extension
Also, From the question,
Given:
- e = (80-50) = 30 cm = 0.3 m
- k = 1500 N/m
Substitute these values into equation 3
- W = 1500(0.3²)/2
- W = 67.5 J.
Hence, The work done in stretching the spring from 50 cm to 80 cm is 67.5 J.
Learn more about Hooke's law here: brainly.com/question/12253978
Answer:
bird's speed = 4.58 m/s
Explanation:
given data
mass of bird mb = 300 g
velocity of bird vb = 5.7 m/s
mass of insect mi = 10 g
velocity of insect vi = - 29 m/s
solution
here momentum of system is constant
we apply here conservation of momentum so
mb × v + mi × v = mb × vb + mi × vi ....................1
v ( mb + mi ) = mb × vb + mi × vi
put here value and we get
v ( 300 + 10 ) = { 300 × 5.7 } + { 10 × (-29) }
v = 
v = 4.58 m/s
Answer:
10 is the correct answer
Explanation:
It is ten because the electrons that encircled the two orbit before the third orbit if the bohr model is 10. In bohr model, the electrons encircled the nucleus of an atom called orbit.
Answer:
the mass should be bring closer to the point about which we are finding torque
Explanation:
τ = Σr × F = rmg
where m is the mass, g is acceleration due to gravity, and r is the distance
Torque is directly proportional to -
1.mass, m , of object
2. distance, r, of the mass from the point about which we are finding the torque.
So if we increase or decrease them then the torque will also increase or decrease.
So if we increase the mass the torque will increase but since we have to maintain same torque therefore we have to decrease the distance of mass from the point about which we are finding torque.
Therefore the mass should be bring closer to the point about which we are finding torque.
Answer:
25N
Explanation:
Given parameters:
Power of the motor = 125W
Average speed = 5m/s
Unknown:
Force supplied to the motor = ?
Solution:
Work done is the force applied to move a body through a particular distance;
Work done = Force x distance
Also,
Work done = Power x time
So;
Force x distance = Power x time
since force is the unknown;
Force = 
Speed = 
Force = 
Now solve;
Force = 
= 25N
