Answer:
130 cm
Explanation:
After each bounce, the mechanical energy decreases by 18%, which means the maximum height decreases by 18%. Modeling this as exponential decay:
h = 290 (1 − 0.18)ⁿ
h = 290 (0.82)ⁿ
h = 290 (0.82)⁴
h = 130
The ball reaches a height of 130 cm.
Answer:
A) i) Dynamic error ≈ 3.1%
ii) phase shift ≈ -12°
B) 79971.89 rad/s
Explanation:
Given data :
Damping ratio = 0.5
natural frequency = 18,000 Hz
<u>a) Calculate the dynamic error and phase shift in accelerometer output at an impart vibration of 4500 Hz</u>
i) Dynamic error
This can be calculated using magnitude ratio formula attached below is the solution
dynamic error ≈ 3.1%
ii) phase shift
This phase shift can be calculated using frequency dependent phase shift formula
phase shift ≈ -12°
<u>B) Determine resonance frequency </u>
Wr = 2
( 18000
) = 79971.89 rad/s
C) The maximum magnitude ratio that the system can achieve
Spongy or the cancellous bone is the bone with lattice work structure
Answer:
1.53m
Explanation:
Given parameters:
Mass of box = 3kg
Gravitational potential energy = 45J
Unknown
Height of the box = ?
Solution:
To solve this problem;
Gravitational potential energy = mgh
m is the mass
g is the acceleration due to gravity
h is the height
45 = 3 x 9.8 x h
h = 1.53m
A change in the physical properties like mass or texture will not cause any change in the substance because the composition of the substance will retain the same.
<u>Explanation:</u>
A change of the physical properties will affect only the size, shape and structure of the compound, it won't be affecting the composition of the compound. Since any kind of change in the physical properties of the compound will only affect the outermost structure of the compound or the size of the compound.
It will not change the bond structure and neither it will break any bonds, thus the substance will be as it is. So, there will be no change in the substance on changing the physical properties like mass or texture, as the composition and bonding in the substance will retain the same.