<span>Answer:
K = (1/2) mv² + (1/2) Iω², where m is the ball mass, I is the ball's moment of inertia (2/5)mr², and ω is the angular velocity of the ball. Because the ball rolls without slipping, it is easy to see that v=ωr, or r=v/ω. Then,
K = (1/2)mv² + (1/2)(2/5)mr²ω²
= (1/2)mv² + (1/5)mv²
= (7/10)mv²
Setting potential at the top equal to kinetic at the bottom,
mgh=(7/10)mv²
v=âš{(10/7)(gh)}
= [(10/7)(9.8)(0.51)]^(1/2) = 2.672m/s</span>
Answer/Step-by-step explanation:
<em><u>*An average person on Earth needs 8.5 hours of sleep each night*</u></em>
1. V - 5 = D
2. D ÷ 2 = S
3. S + 5 = V
<em><u /></em>
Fraction form 41/400
decimal form .1025
Answer:
10.36
Step-by-step explanation:
So your solution would be:








Just try to remember PEMDAS.
Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.
This is the order we follow when going about expressions with many operations.
Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.



Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.
We have a fraction so we do that first. Then we do the multiplication after.


Next we do the addition/subtraction. Again, whichever comes first.

