I think it’s B
step-by-step explanation:
Answer:
43.46 m/
Explanation:
Two forces will be acting on her at the bottom point of the rollar coaster,
One will be mg (vertically downwards) and other will be ma(vertrically upwards) due to the centripetal force .
So, taking the resultant of the forces , we will get
ma-mg = 1750 (Given)
m(a-g) = 1750
52(a-g) = 1750
a-9.81 = 33.65
a = 43.46
Answer:
a. ac = 1844.66 m/s²
b. Fc = 265.63 N
Explanation:
a.
The centripetal acceleration of the ball is given as follows:
ac = v²/r
where,
ac = centripetal acceleration = ?
v = speed of ball = (87 mph)(1 h/ 3600 s)(1609.34 m / 1 mile) = 38.9 m/s
r = radius of path = 82 cm = 0.82 m
Therefore,
ac = (38.9 m/s)²/0.82 m
<u>ac = 1844.66 m/s²</u>
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b.
The centripetal force is given as:
Fc = (m)(ac)
Fc = (0.144 kg)(1844.66 m/s²)
<u>Fc = 265.63 N</u>