Answer:
New location at time 3.01 is given by: (7.49, 2.11)
Explanation:
Let's start by understanding what is the particle's velocity (in component form) in that velocity field at time 3:
With such velocities in the x direction and in the y-direction respectively, we can find the displacement in x and y at a time 0.01 units later by using the formula:
Therefore, adding these displacements in component form to the original particle's position, we get:
New position: (7 + 0.49, 2 + 0.11) = (7.49, 2.11)
Answer & Explanation:
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Rotational kinetic energy = Iω²/2 = 10
I = rotational inertia(moment of inertia)
ω= angular speed = 10 s⁻¹
∴ 10 = I(10²)/2
∴ I = 20/10² = 0.2 kg-m²
Answer:
The magnitude of the resultant vector R is 50 meters ⇒ 2nd answer
Explanation:
<u><em>The resultant vector</em></u> is the vector sum of two or more vectors
If the two vectors perpendicular to each other, then the magnitude of
the resultant vector is the square root of the sum of their squares
If x and y are two vectors perpendicular to each other, then the
magnitude of its resultant vector R is:
→ 
Lets solve the problem
A right triangle with the base labeled 40 meters and the height labeled
30 meters
The hypotenuse is a dotted arrow labeled R
→ The base and the height of the right triangle are perpendicular
→ The hypotenuse is the resultant vector of them
Assume that x represents the base of the triangle and y represents the
height of it
By using the rule above
→ x = 40 m , y = 30 m
→
→ 
→ 
→ 
<em>The magnitude of the resultant vector R is 50 meters</em>
