Answer:
(a) 1.2 rad/s
(b) 1.8 rad
Explanation:
Applying,
(a) α = (ω-ω')/t................ Equation 1
Where α = angular acceleration, ω = final angular velocity, ω' = initial angular velocity, t = time.
From the question,
Given: α = 0.40 rad/s², t = 3 seconds, ω' = 0 rad/s (from rest)
Substitute these values into equation 1
0.40 = (ω-0)/3
ω = 0.4×3
ω = 1.2 rad/s
(b) Using,
∅ = ω't+αt²/2.................. Equation 2
Where ∅ = angle turned.
Substitutting the values above into equation 2
∅ = (0×3)+(0.4×3²)/2
∅ = 1.8 rad.
Answer:
15.68 m/s
Explanation:
Given that,
She catches the ball 3.2 s later at the same height from which it was thrown.
When it reaches the maximum height, its height is equal to 0.
It will move under the action of gravity.
![t=\dfrac{2u}{g}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B2u%7D%7Bg%7D)
2 here comes for the time of ascent and descent.
So,
![u=\dfrac{tg}{2}\\\\u=\dfrac{3.2\times 9.8}{2}\\\\u=15.68\ m/s](https://tex.z-dn.net/?f=u%3D%5Cdfrac%7Btg%7D%7B2%7D%5C%5C%5C%5Cu%3D%5Cdfrac%7B3.2%5Ctimes%209.8%7D%7B2%7D%5C%5C%5C%5Cu%3D15.68%5C%20m%2Fs)
So, the initial upward speed of the ball is 15.68 m/s.
Bernini's sculpture "Apollo and Daphne" implies a chase scene motion. Apollo and Daphne<span> is a life-sized Baroque marble </span>sculpture<span> by Italian artist Gian Lorenzo </span>Bernini<span>, executed between 1622 and 1625. Hope this answers the question. Have a nice day.</span>
Impulse=force*time
impluse=120N*2.0s
impluse=240 Ns