The formula for impulse is F*(t₂-t₁)=m*(v₂-v₁), where F is the force, t is time, m is mass and v is velocity.
In our case m*(v₂-v₁)=16 N s, m=4 kg, v₁=0 and t₁=0.
m*(v₂-0)=16 N s, we solve for v₂:
4*v₂= 16
v₂=16/4
v₂=4 m/s
So the final velocity of the ball is v₂=4 m/s.
Answer: The hierarchical formation model suggests that galaxies may have been formed by subsequent mergers of smaller galaxies and that today each galaxy houses at least a supermassive black hole.
Explanation: During a fusion of galaxies, the stars that composes it suffer the tidal force, intensifying your action as the galaxies approaching. When two galaxies merges themselves, the astronomers believes that they loss a huge part of their mass, forming the supremassive black hole, that stays in the middle of the galaxie.
The supermassive black holes are originated from the evolution of high mass stars. They were formed by huge clouds of gas or clusters of millions of stars that collapsed on their own gravity when the universe was still much younger and denser.
Force applied = F = 628 N
<span>Acceleration = a m/s² </span>
<span>Newton's 2nd law of motion : F = Ma </span>
<span> a = F/M -------- (1) </span>
<span>New mass of the crate = M1 = 3.8M kg </span>
<span>New acceleration = a1 = F/M1 = F/(3.8 M) ----- (2) </span>
<span>a1/a = {F/(3.8M)}/(F/M) = 1/3.8 = 10/38 = 5/19 ------- Answer</span>
<h3><u>Answer;</u></h3>
A. Their bodies will move forward.
<h3><u>Explanation</u>;</h3>
- <em><u>When a train or a bus comes to a sudden stop everything including the passengers that is not directly attached to the train or the vehicle will tend to continue in the direction of travel, thus the bodies of the passengers will move forward.</u></em>
- This is<em><u> due to the forces of inertia.</u></em> From the second Newton's law of motion, a body will main at its state of rest or constant speed unless acted upon by an unbalanced external force.
- <em><u>When the train suddenly stops the tendency of inertia of motion of the passengers results in the forward motion throwing them from their seats.</u></em>
Answer:
The focal length for given convex lens = 0.0714 m
Explanation:
Given data
Radius () = 12.5 cm
Radius () = 16.7 cm
Since the radius of curvature is positive so these are the convex lens.
Now focal length is given by
⇒ = +
⇒ Put the values of and in the above formula we get,
⇒ = +
⇒ = 0.13988
⇒ f =
⇒ f = 7.14 cm
⇒ f = 0.0714 m
Thus the focal length for given convex lens = 0.0714 m