Answer:
110 m
Explanation:
First of all, let's find the initial horizontal and vertical velocity of the projectile:


Now in order to find the time it takes for the projectile to reach the ground, we use the equation for the vertical position:

where
h = 65 m is the initial height
t is the time
g = 9.8 m/s^2 is the acceleration due to gravity
The time t at which the projectile reaches the ground is the time t at which y(t)=0, so we have:

which has 2 solutions:
t = -2.58 s
t = 5.13 s
We discard the 1st solution since its negative: so the projectile reaches the ground after t=5.13 s.
Now we know that the projectile travels horizontally with constant speed

So, the horizontal distance covered (x) is

So the closest option is
110 m
Density = Mass ÷ Volume
Your mass = 38.6 grams
Your volume = 2 cm3
38.6 ÷ 2 = 19.3 grams per cm3
Out of the choices given, the tool that would be best for Diana to use is the light microscope. The correct answer is B.
Answer:
2160.26 N.
Explanation:
From the question,
The total energy of the woman = work done by the water.
mg(h+d) = F'×d.......................... Equation 1
m = mass of the the woman, g= acceleration due to gravity, h = height of the platform, d = depth of water reached by the woman, F'= Resistance force exerted on her by the water.
make F' the subject of the equation
F' = mg(h+d)/d............................ Equation 2
Given: m = 65.0 kg, g = 9.8 m/s², h = 11 m, d = 4.6 m.
Substitute into equation 2
F' = 65(9.8)(11+4.6)/4.6
F' = 9937.2/4.6
F' = 2160.26 N.