Answer:
Explanation:
The wheel and falling student will have common acceleration .
For rotational motion of wheel
Tx r = I α , T is tension in the crank , α is angular acceleration of wheel , I is moment of inertia , r is radius of the wheel.
= I a / r
T = I a / r²
For motion of student
Mg - T = Ma , M is mass of the wheel.
Mg - I a / r² = Ma
Mg = Ma +I a / r²
Mg = (M +I / r²)a
a = Mg / (M +I / r²)
= 51 x 9.8 / ( 51 + 9.6 / .3² )
499.8 / (51+ 106.67 )
= 499.8 / 157.67
= 3.17 m / s².
If time t is taken to fall by 12 m
12 = 1/2 a t²
24 / a = t²
24 / 3.17 =t²
t²= 7.57
t = 2.75 s
velocity to reach sidewalk
v = u + at
= 3.17 x 2.75
= 8.72 m / s
Give a turn signal for at least the last 100 feet before you make your turn to let other drivers know what you are going to do.
Making turns, turning a corner may seem to be a simple operation, however many accidents or traffic crashes are caused by drivers who do not turn correctly.
The correct answer to the question is B) 5,700 years.
EXPLANATION:
Before going to answer this question, first we have to understand half life period of a radio active substance.
The half life period ![[\ T_{1/2}\ ]](https://tex.z-dn.net/?f=%5B%5C%20T_%7B1%2F2%7D%5C%20%5D)
of a radio active substance is defined as the time in which half of the radio active specimen has undergone decay.
As per the question, the initial concentration of the radioactive carbon-14 is given as 10,000.
Hence, initial concentration 
.
After 5,700 years, the remaining radio active specimen is 5000. It means that half of the radio active specimen has undergone decay in 5,700 years.
Hence, half life period of the radio active carbon-14 specimen is 5,700 years.
The pitcher's power is given by the formula P= fxv
P=100x 45m/s= 4500 Watts
Explanation:
power output=(1800×10×0.06)/9=120watts
