Given data
efficiency (η) = 65 %
= 0.65
Machine provides (Work done by the machine) = 1300 × 50
= 65000 J
efficiency (η) = work done by the machine ÷ work supplied to the machine
0.65 = 65000 ÷ Input work
Input work = 100000 J
= 100 KJ
Answer:
ωf = 4.53 rad/s
Explanation:
By conservation of the angular momentum:
Ib*ωb = (Ib + Ic)*ωf
Where
Ib is the inertia of the ball
ωb is the initial angular velocity of the ball
Ic is the inertia of the catcher
ωf is the final angular velocity of the system
We need to calculate first Ib, Ic, ωb:


ωb = Vb / (L/2) = 16 / (1.2/2) = 26.67 m/s
Now, ωf will be:

You are going 94.737 km/h or 26.316 m/s
speed = distance/time
look up a speed calculator if you have more problems like this, it’ll save you time :)
The answer is as the slope of the line