Answer:
Time = 0.55 s
Height = 8.3 m
Explanation:
The ball is dropped and therefore has an initial velocity of 0. Its acceleration, g, is directed downward in the same direction as its displacement,
.
The dart is thrown up in which case acceleration, g, acts downward in an opposite direction to its displacement,
. Both collide after travelling for a time period, t. Let the height of the dart from the ground at collision be
and the distance travelled by the ball measured from the top be
.
It follows that
.
Applying the equation of motion to each body (h = v_0t + 0.5at^2),
Ball:
(since
.)

Dart:
(the acceleration is opposite to the displacement, hence the negative sign)

But




The height of the collision is the height of the dart above the ground,
.




Answer: option d: The nucleus of Atom Q is more stable than the nucleus of Atom P.
Explanation:
Atom P is radioactive and disintegrates, it emits beta particles (high speed electrons or positrons) because it is not stable. On disintegration, it forms a stable Atom Q which is non-radioactive and thus it does not disintegrates further.
Thus, the correct option is only d. The nucleus of Atom Q is more stable than the nucleus of Atom P.
To solve this problem it is necessary to apply the concepts related to the Power defined from the Stefan-Boltzmann equations.
The power can be determined as:

Making the relationship for two states we have to

Since the final power is 8 times the initial power then

Substituting,



The temperature increase would then be subject to



The correct option is D, about 68%
<span>The total mass that should be placed in the right cap so
that the caps equilibrate at equal height is also 1 kg. if equilibrium should
be maintained the force in each side should cancel out, so to balance a 1kg
mass, a 1 kg mass should also be place on the opposite direction</span>
Answer: 43.58 min
Explanation:
Knowing the volume of a rectangular object is length x width x height, we have two volumes:


And we know it takes a time of 4 minutes to fill
.
If we want to know how long will it take the same hose to fill another tank with volume
, we can use the <u>Rule of three</u>, which is a mathematical rule to find out an amount that is with another quantity given in the same relation as other two also known:
---- 
---- 

Finally:
