Answer:
h'=0.25m/s
Explanation:
In order to solve this problem, we need to start by drawing a diagram of the given situation. (See attached image).
So, the problem talks about an inverted circular cone with a given height and radius. The problem also tells us that water is being pumped into the tank at a rate of
. As you may see, the problem is talking about a rate of volume over time. So we need to relate the volume, with the height of the cone with its radius. This relation is found on the volume of a cone formula:

notie the volume formula has two unknowns or variables, so we need to relate the radius with the height with an equation we can use to rewrite our volume formula in terms of either the radius or the height. Since in this case the problem wants us to find the rate of change over time of the height of the gasoline tank, we will need to rewrite our formula in terms of the height h.
If we take a look at a cross section of the cone, we can see that we can use similar triangles to find the equation we are looking for. When using similar triangles we get:

When solving for r, we get:

so we can substitute this into our volume of a cone formula:

which simplifies to:


So now we can proceed and find the partial derivative over time of each of the sides of the equation, so we get:

Which simplifies to:

So now I can solve the equation for dh/dt (the rate of height over time, the velocity at which height is increasing)
So we get:

Now we can substitute the provided values into our equation. So we get:

so:

Recall that

where
and
are the initial and final velocities, respecitvely;
is the acceleration; and
is the change in position.
So we have


(Normally, this equation has two solutions, but we omit the negative one because the car is moving in one direction.)
Answer:
The voltage is 2.114 V.
Explanation:
Given that,
Mass of both weights = 225 gm
Transducer sensitivity = 0.5 V/N
The first mass is located 20∘ north of east, the second mass is located 20∘ south of east,
We need to calculate the net equivalent force
Using formula of force


Put the value into the formula


We need to calculate the voltage
Using formula of voltage

Put the value into the formula


Hence, The voltage is 2.114 V.
Answer:
The electrical energy consumed by a toaster is 0.033 Kwh.
Explanation:
The power utilized by the toaster is 400 W.
The toaster is operated for 5 Minutes.
We know that,
Substitute the values in the above formula to obtain electrical energy,
Electrical energy = 0.4 × 0.083
Electrical energy is 0.033 Kwh.
Inertia is the correct answer!