How does the mass of a bowling ball that has been rolled down the lane affect the kinetic energy?
2 answers:
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Answer:
position as a function of time is y = 0.05 × cos(9.9)t
Explanation:
given data
mass = 5 kg
length = 10 cm = 0.1 m
displaced = 5 cm
to find out
position as a function of time
solution
we will apply here equilibrium that is
mass × g = k × length
put here value and find k
k =
k = 490 N/m
and ω is
ω =
ω =
ω = 9.9
so here position w.r.t time is
y = 0.05 × cosωt
y = 0.05 × cos(9.9)t
so position as a function of time is y = 0.05 × cos(9.9)t
By definition, we have that the work done is given by:
Where,
F: force in the direction of displacement
d: displaced distance
Substituting values we have:
Then, the power is given by:
Where,
t: time
Substituting values we have:
Answer:
The work done on the box is 100 Nm, and the power is 20 Nm/s.