At the bottom of the circle, the ball is being pulled upward by tension in the rope and downward by its own weight, so that the net force on it is
∑ F = 450 N - (0.75 kg) g = (0.75 kg) a
where a is centripetal acceleration. At this maximum tension, the ball has a maximum centripetal acceleration of
a = (450 N - (0.75 kg) g) / (0.75 kg) = 590.2 m/s²
Then its maximum tangential speed v is such that
a = v² / (1.0 m)
⇒ v = √((1.0 m) a) ≈ 25 m/s
I'm really sorry but you didn't gave any options...
Prepositional phrases express position and relation in space and time and begin with a preposition. The only prepositional phrases here are 1) "in the house," 2) "through the tunnel," and 3) "in 45 minutes." So, whichever of these are underlined in the problem, the corresponding sentences are the answers. Hope that helps!
