<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:
We are given the following information in the question:
Percentage of of the diners who make reservations don't show up = 3%
Number of reservations = 83
Thus, we are given a binomial distribution with n = 83 and p = 0.97
Around 81 people can be expected to show up.
The standard deviation of this distribution is 1.56
Answer: -4
Step-by-step explanation:
3x + 4 = -8
3x= -12
x = -4
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Answer:
240 minutes
Step-by-step explanation:
step 1 - 1:56÷14=4
step 2 - 2:4×60=240
