Answer:
ωf = 4.53 rad/s
Explanation:
By conservation of the angular momentum:
Ib*ωb = (Ib + Ic)*ωf
Where
Ib is the inertia of the ball
ωb is the initial angular velocity of the ball
Ic is the inertia of the catcher
ωf is the final angular velocity of the system
We need to calculate first Ib, Ic, ωb:
ωb = Vb / (L/2) = 16 / (1.2/2) = 26.67 m/s
Now, ωf will be:
A<span>. speed= distance/ time
s= 4</span><span>.6m/s
d=60m
4</span><span>.6= 60/t
</span>4.6t= 60
t= 13.04 seconds
b. acceleration= (the change in velocity/speed)/(time) this is the same as a=Δv/t<span>
a= unkown
</span>Δv= (final speed - initial speed) = 3.1m/s - 4.6m/s= -1.5m/s
t=3 seconds
a=Δv/t= -1.5/3= -0.5m/s²
answer: the soccer player decelerated by 0.5m/s². This means his speed is decreasing by 0.5m/s². We know it is decreasing because the answer is negative.
c. list given information:
final velocity/speed(FS)= 0m/s
initial velocity/speed(IS)= 4m/s
distance(d)= 2m
time(t)= UNKOWN
acceleration(a)= UNKOWN
(side note: velocity and speed are almost the same thing. The difference between the two words is that velocity usually has a direction and can be negative. Speed cannot be negative. If your problems use the word "speed" I would recommend you continue to use the word "speed" as well. I wanted to clarify this so that you didn't think I was saying to divide velocity by speed.)
Equation: (final speed²)= (inital speed²)+ 2(distance)(acceleration)
FS²=IS²+2da
(0²)= (4²)+ 2(2)a
0=16+4a
-4a=16
a= -4m/s²
answer: The deceleration(decreasing acceleration) is 4m/s². This is because the speed was changing at a rate of negative 4 meters per second squared until reaching a final speed of 0m/s.
d. List given information:
Initial speed: 0m/s (we know he started from "rest" which means his IS was 0)
Final speed: UNKNOWN
time= 1.5seconds
distance= UNKOWN
acceleration= 3.1m/s²
Equation: distance= (initial speed * t) + ((1/2)*(acceleration)*(time²)
d= (IS)t + (1/2)at²
d= (0)(1.5)+ (1/2)(3.1)(1.5²)
d= 0 + 3.4785
d≈3.5 meters
Any confusion or questions? Hope this helped!
Answer:
7 rows of trees
If x equals the amount of rows...
8x = 56
Explanation:
8x = 56
(1/8) 8x = 56 (1/8)
x = 7