Answer:
(a) 89 m/s
(b) 11000 N
Explanation:
Note that answers are given to 2 significant figures which is what we have in the values in the question.
(a) Speed is given by the ratio of distance to time. In the question, the time given was the time it took the pulse to travel the length of the cable twice. Thus, the distance travelled is twice the length of the cable.

(b) The tension,
, is given by

where
is the speed,
is the tension and
is the mass per unit length.
Hence,

To determine
, we need to know the mass of the cable. We use the density formula:

where
is the mass and
is the volume.

If the length is denoted by
, then


The density of steel = 8050 kg/m3
The cable is approximately a cylinder with diameter 1.5 cm and length or height of 620 m. Its volume is




Probably the earth traveling around the sun
Answer:
9.8 m/s
Explanation:
The work done by the force pushing the cart is equal to the kinetic energy gained by the cart:

where
W is the work done
is the final kinetic energy of the cart
is the initial kinetic energy of the cart, which is zero because the cart starts from rest, so we can write:

But the work is equal to the product between the pushing force F and the displacement, so

So, the final kinetic energy of the cart is 480 J. The formula for the kinetic energy is
(1)
where m is the mass of the cart and v its final speed.
We can find the mass because we know the weight of the cart, 98.0 N:

Therefore, we can now re-arrange eq.(1) to find the final speed of the cart:

Answer:
17.5
or
1.1 g/min
I know it's one of these, try getting a second opinion
Answer : The equilibrium concentration of T(g) is 0.5 M
Solution :
Let us assume that the equilibrium reaction be:
The given equilibrium reaction is,

The expression of
will be,
![K_c=\frac{[Z][X]^2}{[R][T]^2}](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%5BZ%5D%5BX%5D%5E2%7D%7B%5BR%5D%5BT%5D%5E2%7D)
where,
= equilibrium constant = 16
[Z] = concentration of Z at equilibrium = 2.0 M
[R] = concentration of R at equilibrium = 2.0 M
[X] = concentration of X at equilibrium = 2.0 M
[T] = concentration of T at equilibrium = ?
Now put all the given values in the above expression, we get:
![16=\frac{(2.0)\times (2.0)^2}{(2.0)\times [T]^2}](https://tex.z-dn.net/?f=16%3D%5Cfrac%7B%282.0%29%5Ctimes%20%282.0%29%5E2%7D%7B%282.0%29%5Ctimes%20%5BT%5D%5E2%7D)
![[T]=0.5M](https://tex.z-dn.net/?f=%5BT%5D%3D0.5M)
Therefore, the equilibrium concentration of T(g) is 0.5 M