Answer:
The volume of the coin is 4.236 x 10⁻⁷ m³
Explanation:
Given;
radius of a coin, r = 1.06 cm = 0.0106 m
thickness of the coin, h = 1.2 mm = 0.0012 m
The volume of the coin is given by;
volume = Area x thickness
Area of the coin = πr² = π (0.0106)² = 3.5304 x 10⁻⁴ m²
The volume of the coin = (3.5304 x 10⁻⁴ m²) x (0.0012 m)
The volume of the coin = 4.236 x 10⁻⁷ m³
Therefore, the volume of the coin is 4.236 x 10⁻⁷ m³
Answer:
The speed will be "3.4×10⁴ m/s²".
Explanation:
The given values are:
Angular speed,
w = 7200 rpm
i.e.,
= 
= 
Speed from the center,
r = 6.0 cm
As we know,
⇒ Linear speed, 
On putting the estimated values, we get


Now,
Acceleration on disk will be:
⇒ 


Preasure at the bottom would be Air Pressure at the top added to the pressure due to the water height.
so pressure = air pressure + hdg
where,
h = depth of the lake, (432ft into metres)
d = density of water (1000kg/m^3)
g = 9.81 m/s^2 (approx.)
I would say the same thing as the first answer
Answer:
5.05 m
Explanation:
length of stick (L) = 1 m
distance from the top of the stick to the ground (d) = 2.07 m
time taken for corn to travel the length of the stick (t) = 0.121 s
acceleration due to gravity (a) = 9.8 m/s^{2}
we can get the distance in four stages.
- Finding the velocity the corn was moving at from

where s = length of stick, t = time, a = acceleration due to gravity

1 = 0.121u + (0.5 x 9.8 x 0.121 x 0.121)
1 = 0.121v + 0.0717
1 - 0.0717 = 0.121v
v = 7.67 m/s
- Using the velocity above to find the time it took for the corn to fall to the top of the stick from the formula v = u + at' where:
v = final velocity = 7.67 m/s
u = initial velocity = 0 m/s since it was initially at rest
a = acceleration due to gravity
t' = time taken to fall to the top of the stick
7.67 = 0 + (9.8 x t')
t' = 7.67 / 9.8 = 0.78 s
- using the time above to find the distance between the branch the corn falls from and the top of the stick using
where:
s = distance
v = initial velocity = 0 m/s since it was initially at rest
t = time = 0.78 s
a = acceleration due to gravity = 9.8
s = 0 + (0.5 x 9.8 x 0.78 x 0.78)
s = 2.98 m
- Add the distance between the branch the corn falls from and the top of the stick and the distance from the top of the stick to the ground.
2.98 + 2.07 = 5.05 m