Answer:
0.352 s
Explanation:
Let g = 9.81 m/s2. Then the speed of the block after it's fall down a time t (seconds) before the collision is:
(0)
Using the law of momentum conservation, the total momentum of the system after the collision must be same as before the collision. Let the upward be the positive direction:
(1)
where
are the mass and speed of the bullet prior to the impact.
is the mass of the block. v is the speed of the system after the impact. We will focus on v for the next part:
As the system raise and come to a momentarily halt on top of the building (speed at top
), let the vertical distance travel be h (m). We have the following equation of motion


(2)
As h is the same vertical distance that the block has fallen before the collision, we can solve for h in term of t:
(3)
If we plug eq. (3) into (2):
(4)
And plug eq (4) and (0) into eq (1), with all the numbers:



Aristotle's geocentric theory failed to match the expected predictions because a few celestial objects appear to have retrograde motion.
Answer: Option B
<u>Explanation:</u>
Aristotle’s theory states that all the bodies in universe rotate around the earth, and earth is located at the centre. But, the most serious challenge it was given was that, the difference found in the paths of revolution of mercury and Venus. They are revolving around the sun, and not the earth, periodically.
This is the significant drawback, and major factor for the Copernicus and the other models to be achieved. The mercury and Venus, closest planets to earth, and the sun too, are not following the earth’s path. And hence, upon studying clearly, all celestial bodies do not follow a path round the earth, but around a fireball, that is sun.
If we neglect friction/air resistance, then the horizontal component
doesn't change, and the vertical component becomes (9.8 m/s downward)
greater each second thanks to gravity.
So, after 2 seconds, the horizontal component is still 40 m/s, and the
vertical component is (30 - 2·9.8) = 10.4 m/s upward.
Choice #1 says this.
Answer:
The correct answer is:
(A) to the left
(B) at speed -0.8725 m/s
Explanation:
The given values are:
Plate 1:
Mass,
m₁ = 201 g
Velocity,
v₁ = +1.79 m/s
Plate 2:
Mass,
m₁ = 335 g
Velocity,
v₁ = -2.47 m/s
According to the conservation of momentum, we get
⇒ 
then,
⇒ 
On substituting the values, we get
⇒ 
⇒ 
⇒ 
⇒
(to the left)
Answer:
A frictional force acts on it