Answer:
length=2
Explanation:
You simply find the zeros of the quartic polynomial
The factored form is (x+1)(x-5)(x-2)=0
The zeros become -1,5 and 2
Dimension 5 is already given and the question says length>width and 2>-1
Therefore length=2
Answer:
x₂=0.44m
Explanation:
First, we calculate the length the spring is stretch when the first block is hung from it:

Now, since the stretched spring is in equilibrium, we have that the spring restoring force must be equal to the weight of the block:

Solving for the spring constant k, we get:

Next, we use the same relationship, but for the second block, to find the value of the stretched length:

Finally, we sum this to the unstretched length to obtain the length of the spring:

In words, the length of the spring when the second block is hung from it, is 0.44m.
The first thing that needs to be done is to find everything in the same units. 12 hours becomes 43200 seconds. Then find the distance traveled by light in that amount of time. Using the formula v=d/s, manipulate it so it looks like d=v*s. Then plug in the values: d=(3x10^8)*43200, d=1.3x10^13m. But you need to find this in kilometers. To do this, simply divide your answer by one thousand. Thus, a laser beam would travel 1.3x10^10 kilometers in 12 hours.
Answer:
12 cm
Explanation:
= Initial pressure = 
= Final pressure = 
h = Depth of cylinder = 36 cm
g = Acceleration due to gravity = 10 m/s²
= Density of water = 1000 kg/m³
= Depth of lake = 20 m
From the ideal gas relation we have

The height of the cylinder of air in the bucket when the bucket is at the given depth is 12 cm
Answer:

Explanation:
We have given torque 
Initial time 
Final time 
There is relation between angular momentum and torque
that is 

