When two things in contact with each other transfer heat - Conduction
When a liquid or has carries heat- Convection
When waves transfer heat- Radiation
Given :
h= 1.57 m, x = 3.17 m, and vb = 3.03 m/s .
To Find :
The upward velocity of cylinder .
Solution :
Component of along string .
Now ,
Now , from the figure :
Putting all given values in above equation :
Therefore , value of is 6.76 m/s .
Hence , this is the required solution .
Answer:
1) k = 52 N/m
2) E = 1.0 J
3) ω = 8.1 rad/s
4) v = 1.4 m/s
Though asked for a velocity, we can only supply magnitude (speed) because we don't have enough information to determine direction.
If it happens to be the first time it is at y = - 10 cm after release, the velocity is upward.
Explanation:
Assuming the initial setup is after all transients are eliminated.
kx = mg
k = mg/x = 0.8(9.8) / 0.15
k = 52.26666.... ≈ 52 N/m
E = ½kA² = ½(52)(0.20²) = 1.045333... ≈ 1.0 J
ω = √(k/m) = √(52 / 0.8) = 8.0829... ≈ 8.1 rad/s
½mv² = ½kA² - ½kx²
v = √(k(A² - x²)/m) = √(52(0.20² - 0.10²)/0.8) = 1.39999... ≈ 1.4 m/s
Answer:
v = 18.5 m /s
Explanation:
The velocity of the jumper will go on increasing until his weight is more than the restoring force created in the bungle.
mg = kx
50 x 9.8 = 100 X
X = 4.9 m
Total fall = 15 + 4.9 = 19.9 m
kinetic energy gained due to fall by 19.9 m
= mgh = 50 x 9.8 x 19.9 = 9751 J
energy lost due to stored elastic energy in bungie
= 1/2 k x²
= .5 x 100 x 4.9²
= 1200.5 J
Remaining kinetic energy = 9751 - 1200.5 = 8550.5 J
1/2 m v² = 8550.5
.5 x 50 x v² = 8550.5
v² = 342
v = 18.5 m /s