The Y-component of the vector is 34.65 m.
<h3>What is a vector?</h3>
Vectors are quantities that have both magnitude and direction.
The Y-component of the vector can be calculated using the formula below.
Formula:
- Y = rsin∅............. Equation 1
Where:
- Y = Y-component of the vector
- r = magnitude of the vector
- ∅ = angle of the vector to the horizontal.
From the question,
Given:
Substitute these given values into equation 1
- Y = 82(sin25°)
- Y = 34.65 m
Hence, The Y-component of the vector is 34.65 m.
Learn more about vectors here: brainly.com/question/24855749
Answer:
16
Explanation:
The magnitude of the electrostatic force between two charged particles is given by

where
k is the Coulomb's constant
q1, q2 are the charges of the two particles
r is the separation between the particles
In this problem, the initial force between the particles is F.
Later, the distance between the two particles is increased by four, so
r' = 4r
So, the new force between the particles will be

So, the new force decreases by a factor of 16.
Answer:
Work = 165670.4 J = 165.67 KJ
Explanation:
First, we will find the deceleration of the car, using the 3rd equation of motion:

where,
a = deceleration = ?
s = skid distance = 40 m
vf = final speed = 0 m/s
vi = initial speed = 17.2 m/s
Therefore,

the negative sign indicates deceleration here.
Now, we will calculate the braking force applied by the brakes on the car:

the negative sign indicates braking force.
Now, we will calculate the work done using the magnitude of this force:

<u>Work = 165670.4 J = 165.67 KJ</u>
<h2>
The impact is occurred at a distance 348.55 m far from person.</h2>
Explanation:
Let s be the distance to the impact position and t be the time when he hears the sound though concrete after impact.
Time when he hears impact through air = t + 0.90
The distance traveled by sound wave in both concrete and air is s.
Speed of sound in air = 343 m/s
Speed of sound in concrete = 3000 m/s
Distance traveled in air = Distance traveled in concrete
343 x Time when he hears impact through air = 3000 x Time when he hears impact through concrete
343 x (t + 0.90) = 3000 x t
3000t - 343 t = 343 x 0.90
2657t = 308.7
t = 0.116 s
Distance traveled in concrete = 3000 x t = 3000 x 0.116 = 348.55m
So the impact is occurred at a distance 348.55 m far from person.