Answer:
Explanation:
Between two spheres of equal masses having equal radius , the one which is hollow will have less moment of inertia and therefore less radius of gyration ( k )
When they are allowed to roll over an inclined plane , they will have acceleration as follows
a = gsinθ / ( 1 + k²/r²)
For hollow sphere , k is less . therefore denominator is less and acceleration is more.
in other words , hollow sphere will have greater acceleration . So it will reach the bottom of an inclined surface in lesser time if allowed to roll over it .
This is how we can identify a hollow sphere without breaking it open .
Answer:
Explanation:
Equation for translational kinetic energy = 1/2 m V² where m is mass and V is velocity .
In first case let mass of car be m
Translational kinetic energy = 1/2 m x 40² = 800 m .
In the second case ,
Translational kinetic energy = 1/2 m x 20² = 200 m
So , in former case kinetic energy of car is 4 times that of second case.
Answer: 1175 J
Explanation:
Hooke's Law states that "the strain in a solid is proportional to the applied stress within the elastic limit of that solid."
Given
Spring constant, k = 102 N/m
Extension of the hose, x = 4.8 m
from the question, x(f) = 0 and x(i) = maximum elongation = 4.8 m
Work done =
W = 1/2 k [x(i)² - x(f)²]
Since x(f) = 0, then
W = 1/2 k x(i)²
W = 1/2 * 102 * 4.8²
W = 1/2 * 102 * 23.04
W = 1/2 * 2350.08
W = 1175.04
W = 1175 J
Therefore, the hose does a work of exactly 1175 J on the balloon
Answer:
A combined wave of extra height will produce every other wave.
Explanation:
One wave Crest can catch up to another wave Crest if the group of waves are from different places.
Here the two group of waves have different wavelength but travelling together in the same direction so when they combine,they will produce every other wave.
