The document provides solutions to physics problems involving forces, acceleration, velocity, and time calculations. The first problem involves calculating the acceleration of a barrel pushed by an 85 N force over 12 m with 7 N of friction. The second calculates the final velocity of the barrel before falling off a cliff as 12 m/s. The third finds Batfink has 3.26 seconds to escape the barrel after falling from 52 m.

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5. Hugo Ago-go pushes the barrel with
Batfink in it towards the end of the
cliff with a 85 N force over a distance
of 12 m before the barrel leaves the
cliff. The force of friction is 7 N.
Draw a force diagram of the
situation.

6. y
Fs 735 N
Ff 8 N
Fa 85 N
Fg 735 N
x

7. Calculate the acceleration
of the barrel in the x
axis.

8. SOLUTION:
Acceleration of Batfink and the barrel.
mbf = 50 kg
mb = 25 kg
g = -9.8 m/s2
Fa = 85 N
Ff = 7 N
Xi = 0 m
X = 12 m
a
a = 1.04 m/s2

9. What is the Vf of the
barrel just before it falls
off the cliff?

10. SOLUTION:
Final velocity of Batfink and the barrel while
still on the cliff.
mbf = 50 kg
mb = 25 kg
a = 1.04 m/s2
g = -9.8 m/s2
Fa = 85 N
Ff = 7 N
Xi = 0 m
a

11. Batfink is pushed off of the 52 meter
high Canadian Horseshoe Falls
towards the dried up Maid of the
Mist pool. How much time will
Batfink have to escape from the
barrel once it leaves the cliff?

12. SOLUTION:
Maximum time for escape.
Vi = 0 m/s
g = -9.8 m/s2
Yf = 0 m
Yi = 52 m
ti = 0 s
tf
Vf
t = 3.26 s

14. SOLUTION:
Final velocity of Batfink and the barrel.
Vi = 0 m/s
Vf
g = -9.8 m/s2
Yi = 52 m
Yf = 0 m
ti = 0 s
tf = 3.19 s
Vf = -31.95 m/s

16. SOLUTION:
Final velocity of Batfink and the barrel.
Vyi = 0 m/s
Xf
g = -9.8 m/s2
Yi = 52 m
Yf = 0 m
ti = 0 s
tf = 3.19 s
Xf = 16.3 m
V = -31.3 m/s