from the question
x₁ = x-coordinate = 8
y₁ = y-coordinate = - 4
m = slope of line = 2/3
slope form of the line is given as
(y - y₁ ) = m (x - x₁)
inserting the values
(y - (- 4) ) = (2/3) (x - 8)
(3) (y + 4) = (2) (x - 8)
multiplying each term inside the bracket by 3 and 2 respective on left and right side
3y + 12 = 2 x - 16
2 x - 3 y - 16 - 12 = 0
2 x - 3 y - 28 = 0
Momentum is conserved after the collision
Momentum of 2 Kg before collision = 2 * 3 = 6
Momentum of 4 kg before collision = 4 * -3 = -12
so 6 + -12 = 2 * -4 + 4 *x where x is velocity of 4kg marble.
4x - 8 = -6
4x = 2
x = 0.5
Velocity of 4 kg marble is 0.5 m/s after collision
The 2 kg marble will move in the opposite direction to which it was moving before the collision.
Answer:
The velocity of the leaf relative to the jogger is 5 m/s.
Explanation:
Given that,
Velocity of jogger wrt to the ground, 
velocity of leaf wrt the ground, 
We need to find the velocity of the leaf relative to the jogger. Let it is equal to V. So, it is given by :
So, the velocity of the leaf relative to the jogger is 5 m/s. Hence, this is the required solution.
Answer:
<h2>B) Newton's 2nd law</h2>
Explanation:
<h2>From; force= mass × acceleration </h2><h2> f= m×a </h2><h2>where a(acceleration)= velocity/time</h2><h3> force = mv/t</h3><h3>But momentum(p) = Mass × velocity </h3><h2>hence force =p/t </h2><h3>that is Momentum = force × time ( Newton's 2nd law)</h3>
Sound intensity = 1/(r^2)
That is Sound intensity is indirectly proportional to the distance. Therefore, sound becomes 9 times less intense.
