James cameron piloted a submersible craft to the bottom of the challenger deep, the deepest point on the ocean's floor, 11,000 m below the surface. what was the total inward force on the 1.1-m-diameter pilot sphere in which cameron sat?

Explanation:

First of all, we need to find the pressure exerted on the sphere, which is given by:

where

is the atmospheric pressure

is the water density

is the gravitational acceleration

is the depth

Substituting,

The radius of the sphere is r = d/2= 1.1 m/2= 0.55 m

So the total area of the sphere is

And so, the inward force exerted on it is

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s