MAGNITUDE AND DIRECTION OF A VECTOR
Given a position vector →v=⟨a,b⟩,the magnitude is located by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tanθ=(ba)⇒θ=tan−1(ba)
<h3>What is the formula of magnitude?</h3>
The formula to determine the extent of a vector (in two dimensional space) v = (x, y) is: |v| =√(x2 + y2). This formula is derived from the Pythagorean theorem. the procedure to determine the magnitude of a vector (in three dimensional space) V = (x, y, z) is: |V| = √(x2 + y2 + z2)
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main answer is given below,
<u>Answer:</u>
<em>The required radius of its motion is
.</em>
<u>Explanation:</u>
The formula for calculating the required radius of its motion is given by

Where <em>m= mass </em>
<em>V= moving velocity
</em>
<em>F=frictional force
</em>
<em>r = radius of its motion
</em>
Then the required radius of its motion is given by

<u>Given that
</u>
<em>mas =0.0818 kg
</em>
<em>Frictional force= 0.108 N
</em>
<em>Moving with Velocity of = 0.333 m/s
</em>
<em>radius of its motion =
</em>
<em>Hence the required radius of its motion is r =
</em>
Answer:

Explanation:
Given:
Initial velocity of the vehicle, 
distance between the car and the tree, 
time taken to respond to the situation, 
acceleration of the car after braking, 
Using equation of motion:
..............(1)
where:
final velocity of the car when it hits the tree
initial velocity of the car when the tree falls
acceleration after the brakes are applied
distance between the tree and the car after the brakes are applied.

Now for this situation the eq. (1) becomes:
(negative sign is for the deceleration after the brake is applied to the car.)
Answer:
Average force exerted by the water on the blades is 1024 N
Explanation:
As we know that the force due to water jet is given by

here we know that



so here we will have


Average force exerted by the water on the blades is 1024 N