Answer:
t=27725.8minutes
Explanation:
To determinate use the law the change of volume in determinate time is derivate so:

The flow in is zero and the flow out is modeling with V as the volume out in the volume of the lake in the reason of change.

Integrate to get the volume function

The find the constant C in the time t=0 the volume is knowing so:


The volume is 1 part per million so:


Answer: 3.27kg
Explanation:
Inertia can be said to be the resistance of an object to a change in its motion. This includes a change in its direction. An object will stay still or keep moving at the same speed and in a straight line, except it is acted upon by an unbalanced external force.
Given F = 30N
r = 0.14m
a = 130rad/s²
Then, T = Fr
T = 30*0.14
T = 4.2Nm
Also, T = inertia * acceleration
Inertia = 4.2/a
Inertia = 4.2/130
Inertia = 0.032
Also, inertia = mr²/2
0.032 = m * (0.14²)/2
0.032 = m * 0.0098
m = 0.032/0.0098
m = 3.27kg
Recall that

At its maximum height
, the toy will have 0 vertical velocity, so that


For the toy to reach this maximum height, it takes time
such that

which means it takes twice this time, i.e.
, for the toy to reach its original position.
The velocity of the toy when it falls 1.0 m below its starting point is



where we took the negative square root because we expect the toy to be moving in the downward direction.
Answer:
Decreases
Explanation:
"Effort" usually refers to the applied force. An inclined plane decreases the force required while increasing the distance that the force is exerted over. So even though there's less force needed, the amount of work stays the same.