Hi there!
We can use the kinematic equation:
vf = Final velocity (? m/s)
vi = initial velocity (0 m/s, dropped from rest)
a = acceleration (due to gravity, 9.8 m/s²)
d = distance (9.8 m)
Simplify the equation to solve for vf:
Substitute in the given values:
Answer:
The coin is denser than any of the liquids, and will sink through everything. The oil is the least dense liquid, so it will float on the water, and the syrup is the densest liquid, so it will sink below the water.
Explanation:
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Answer:
a. The acceleration of the bowling ball is 9.5 m/s² toward the center
b. The tension in the rope is 140.24 N
Explanation:
given information:
ball weight, W = 71.2 N
the length of rope, R = 3.30 m
ball speed, v = 5.60 m/s
a. The acceleration of the bowling ball, α
α = 
where
α = the acceleration
v = the speed
R = radius
thus
α =
= 
= 9.5 m/s² toward the center
b. The tension in the rope?
according to the Newton's second law
ΣF = m a
where
F = force
m = mass
a = acceleration
so,
ΣF = m a
T - W = m a
T = m a + W
= (W a/g) + W
= (71.2 x 9.5/9.8) + 71.2
= 140.24 N
Because gas particles in the air like particles of all fluids are constantly moving and bumping into things, they exert pressure. The pressure exerted by the air in the atmosphere is greater close to Earth's surface and decreases as you go higher above the surface.
<u>Explanation</u>:
- Fill roughly one-third of a cup with water. Then, cover the mouth of the cup completely with a flat, hard cardboard. Using your hand to keep it in place, turn the cup upside down. When you remove your hand, the the cardboard stays in place.
-
One would expect that due to gravity, the water will fall, and even the cardboard will. However, it does not, which means that something must be applying an upward force on the cardboard. This is nothing other than air pressure, which applies a force across the surface of the cardboard in an upward direction.
- Thus we can demonstrate that air exerts pressure, because otherwise, the water would have fallen.
