please help. show all work (10%) Problem 3: An obiect rolls off a tabletop with
ID: 1882579 • Letter: P
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please help. show all work
(10%) Problem 3: An obiect rolls off a tabletop with a horizontal velocity Ox 8 m/s. The table is at a height yo-0.45 m above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object's trajectory, and its vertical y-axis pointing up 25% Part (a) How long, in seconds, is the object falling before it hits the floor? Grade Summa Deductions Potential 0% 100% cos0 cotanasin0 acos0 atan acotan sinhO cosh0 anh cotanhO tan() | Submissions Attempts r (000 per attempt) detailed view Sin emaining: 19 END 0% Degrees Radians « CLEAR Submit Hint Feedback I give up! Hints: 4% deduction per hint. Hints remaining: 2 Feedback: 5% deduction per feedback. 25% Part (b) What's the horizontal distance, in meters, from the edge of the tabletop to where the object lands? 25% Part (c) What is the vertical component of velocity, in meters per second, when the object hits the ground? 25% Part (d) What is the magnitude of the velocity (it's speed) when it hits the floor -Explanation / Answer
a)
From
Y=Yo+Voyt-(1/2)gt2
when object hits ground Y=0
0=0.45+0-(1/2)(9.81)t2
t=sqrt[2*0.45/9.81]=0.3029 s
b)
Horizontal distance travelled
X=Voxt =8*0.3029 =2.423 s
c)
From
Vfy=Voy-gt =0-9.81*0.3029
Vfy=-2.9714 m/s
d)
final horizontal velocity
Vfx=8 m/s
Magnitude of velocity
V=sqrt[82+(-2.9714)2]
V=8.534 m/s
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