Answer: time t = 2 seconds
Explanation:
Given that
Power P = 50W
Energy E = 100J
How long did it take to move the box from the floor to the shelf ? This implies time taken.
Power is defined as the rate at which work is done. I.e
P = W.D/t
Where work done = energy
50 = 100/t
Make t the subject of formula
t = 100/50
t = 2 second
Answer: 7.436 s
Explanation:
This situation is related to vertical motion, specifically free fall and can be modelled by the following equation:
Where:
is the final height of the object (when it makes splash)
is the initial height of the object
is the initial velocity of the object (it was dropped)
is the acceleration due gravity (directed downwards)
is the time since the objecct is dropped until it makes splash
Clearing
:
Finally:
Ω₀ = the initial angular velocity (from rest)
t = 0.9 s, time for a revolution
θ = 2π rad, the angular distance traveled
Let
α = the angular acceleration
ω = the final angular velocity
The angular rotation obeys the equation
(1/2)*(α rad/s²)*(0.9 s)² = (2π rad)
α = 15.514 rad/s²
The final angular velocity is
ω = (15.514 rad/s²)*(0.9 s) = 13.963 rad/s
If the thrower's arm is r meters long, the tangential velocity of release will be
v = 13.963r m/s
Answer: 13.963 rad/s