Let's choose east as positive x-direction and south as positive y-direction. We can resolve the two displacement along these two axes:
- Displacement 1 (3.5 km,
south of west


- Displacement 2 (2.7 km,
east of south


So, the total components on the two directions are


And the magnitude of the hiker's resultant displacement is

<span>Since P = V x I, a 10% reduction of power would lead to a 10% reduction in the product of voltage and current. What is left is 90% of the original power:
.9P = .9(V x I).
If we assume that current must be the same, then we can regroup the terms on the right-hand side as follows:
.9P = (.9V) x I
In this case, voltage is also reduced by 10% (100% - 90% = 10%).</span>
Answer:

Explanation:
The system ball-pin is modelled by the Principle of Moment Conservation:

The velocity of the bowling ball after the collision is:

Answer:
age of the site is 15411.75 years old
Explanation:
Given data
plant or animal dies = 14C
time period = 5730 year
carbon = 15.5%
to find out
age (in years) of the ancient site
solution
we know that Final value = Initial value × 
here n is half life passed
so for 15.5%
15.5% = 100% of 
0.155 = 1 × 
now take log both side
log 0.155 = log 
n = log 0.155 / log 0.5
n = 2.68966
we know here 5730 years in half life
so for 2.68966 half-lives = 2.68966 × 5730 = 15411.7518
age of the site is 15411.75 years old
The formula for this problem that we will be using is:
F * cos α = m * g * μs where:F = 800m = 87g = 9.8
cos α = m*g*μs/F= 87*9.8*0.55/800= 0.59 So solving the alpha, find the arccos above.
α = arccos 0.59 = 54 ° is the largest value of alpha