Answer:
The resultant velocity is 
Explanation:
Apply the law of conservation of momentum

Where
is the mass of the Luxury Liner = 40,000 ton
is the velocity of Luxury Liner = 20 knots due west
mass of freighter = 60,000
is the velocity of freighter = 10 knots due north
Apply the law of conservation of momentum toward the the west direction

So the equation would be

Substituting values

Where
the final velocity due west
Making
the subject


Apply the law of conservation of momentum toward the the north direction

So the equation would be

Where
the final velocity due north
Making
the subject


The resultant velocity is



<h2>
10.5</h2><h3>
remember pemdas</h3>
- parentheses
- exponents <em>excluded for this problem</em>
- multiplication
- division
- addition
- subtraction
<h3>step 1. start with what is at the top of the list.</h3>
<h3>step 2. do 1 times 3 since it comes before division, and is in parentheses.</h3>
1 × 3 = 3
<h3>step 3. find 36 divided by 2</h3>
36 ÷ 2 = 18
<h3>step 4. add the values together</h3>
18 + 3 = 21
<h3>step 5. find 14 times 3</h3>
14 × 3 = 42 <em>you can also do 7 × 6 and will get the same result because 7 is half of 14 and 3 is half of 6</em>
<h3>step 6. add what is outside the parentheses</h3>
21 + 42 = 63
<h3>step 7. divide by 6</h3>
63 ÷ 6 = 10.5
10 remainder of 3 <em>remainder means left over</em>
<em />
Answer:
Radius, r = 0.00523 meters
Explanation:
It is given that,
Magnetic field, 
Current in the toroid, I = 9.6 A
Number of turns, N = 6
We need to find the radius of the toroid. The magnetic field at the center of the toroid is given by :

r = 0.00523 m
or

So, the radius of the toroid is 0.00523 meters. Hence, this is the required solution.