When the life preserver is dropped from the helicopter, the only force acting on the object is the gravitational force. This modifies the equations of motion. Thus, the working equation is written below:
h = vt + 0.5gt²
where
v is the initial velocity
g is the acceleration due to gravity equal to 9.81 m/s²
h is the height of the fall
h = (1.46 m/s)(1.8 s) + 0.5(9.81 m/s²)(1.8 s)
h = 11.457 m
The resistance of two things in series is the SUM of their individual resistances. So the resistance of two bulbs in series is <u><em>double</em></u> the resistance of one bulb.
(If they're in parallel, their combined resistance is <u><em>1/2</em></u> the resistance of one bulb.)
So two bulbs <em>in series</em> is the greater resistance. <em>(a) </em>
In genetic traits, p and q represent the relative probabilities of the two alleles manifesting. If these two are the only options (ex. a dominant one and a recessive one), then the probabilities of both must sum up to 1. In this case, since we are given that q = 0.4, then p + q = 1, p + 0.4 = 1, and p = 0.6.
Answer: a) It will take more time to return to the point from which it was released
Explanation: To determine how long it takes for the ball to return to the point of release and considering it is a free fall system, we can use the given formula:
, where:
d is the distance the ball go through;
v₀ is the initial velocity, which is this case is 0 because he releases the ball;
a is acceleration due to gravity;
t is the time necessary for the fall;
Suppose <em>h</em> is the height from where the ball was dropped.
On Earth:
h=0.t + 
h = 5t²
= 
On the other planet:
h = 0.t + 
h = 15.t²
= 
Comparing the 2 planets:
= 
or 
Comparing the two planets, on the massive planet, it will take more time to fall the height than on Earth. In consequence, it will take more time to return to the initial point, when it was released.
I can’t do that you have to!
