Answer:
Explanation:
Given
No of logs
diameter of log
Length of log
42 % of log volume(V) is above water when no one is on raft
so 58 % of log volume(V) is submerged in the water
Weight of 14 log
Buoyancy force on 14 logs
as system is in equilibrium so
Specific gravity of log
Answer:
Cross over
Explanation:
Your arms are CROSSING OVER. Ill add a comment to confirm this is correct later. If not, ill provide the correct answer. But im confident its cross over
Let us say that x is the cut that we will make on the
sides to make a box, therefore the new dimensions are:
l = 15 – 2x
w = 8 – 2x
It is 2x since we cut on two sides.
We know that volume is:
V = l w x
V = (15 – 2x) (8 – 2x) x
V = 120x – 30x^2 – 16x^2 + 4x^3
V = 120x – 46x^2 + 4x^3
Taking the 1st derivative:
dV/dx = 120 – 92x + 12x^2
Set dV/dx = 0 to get maxima:
120 – 92x + 12x^2 = 0
Divide by 12:
x^2 – (92/12)x + 10 = 0
(x – (92/24))^2 = -10 + (92/24)^2
x - 92/24 = ±2.17
x = 1.66, 6
We cannot have x = 6 because that will make our w
negative, so:
x = 1.66 inches
So the largest volume is:
V = 120x – 46x^2 + 4x^3
V = 120(1.66) – 46(1.66)^2 + 4(1.66)^3
V = 90.74 cubic inches
Answer:
because gas molecules have more kinetic energy and are smaller than liquid molecules. diffusion in liquids is slower because the particles in a liquid move more slowly. it happens faster if the temperature is increased
Kinetic energy=0.5*mass*(velocity²)=0.5*70*5*5=875 J