Answer:
754.6 m
Explanation:
The GPE (Gravitational potential energy) of an object with respect to the ground is given by
where
m is the mass of the object
g = 9.8 m/s^2 is the acceleration due to gravity
h is the heigth above the ground
Here we have
m = 12,400.05 kg is the mass
GPE = 91,700,000.00J is the GPE
Solving the formula for h, we find the heigth:
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Because the refractive indexes of the immersion oil and the glass microscope slide are the same; the oil prevents the refraction of the incoming light rays.
An invisible space is present between the slide and the lens that contains air.
When the light rays fall on the slide and lens they might get refracted due to air present between them.
If the rays get refracted then the diameter of the objective lens will expand further.
So in order to prevent the refraction of light, it is very important to lubricate the surface of the lens because without oil the light rays refract from their original path.
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Answer:
F= 4788 N
Explanation:
Because the car moves with uniformly accelerated movement we apply the following formula:
vf²=v₀²+2*a*d Formula (1)
Where:
d:displacement in meters (m)
v₀: initial speed in m/s
vf: final speed in m/s
a: acceleration in m/s²
Data
d=36.9 m
v₀=14.0 m/s m/s
vf= 0
Calculating of the acceleration of the car
We replace dta in the formula (1)
vf²=v₀²+2*a*d
(0)²=(14)²+2*a*(36.9)
-(14)²= (73.8) *a
a= - (196) / (73.8)
a= - 2.66 m/s²
Newton's second law of the car in direction horizontal (x):
∑Fx = m*ax Formula (2)
∑F : algebraic sum of the forces in direction x-axis (N)
m : mass (kg)
a : acceleration (m/s²)
Data
m=1800 Fkg
a= - 2.66 m/s²
Magnitude of the horizontal net force (F) that is required to bring the car to a halt in a distance of 36.9 m :
We replace data in the formula (2)
-F= (1800 kg) * ( -2.66 m/s²
)
F= 4788 N
Answer:
55 kg
Explanation:
spring constant (k) = 600 N/m
mass of chair (Mc) = 12 kg
period of oscillation of chair and man (T) = 2.1 s
what is the mass of the astronaut (Ma) ?
mass of the astronaut (Ma) = total mass (Mt) - mass of chair (Mc)
where
- total mass (Mt) =
taking π as 3.142
total mass (Mt) = 
total mass (Mt) = 67 kg
therefore
mass of astronaut = 67 - 12 = 55 kg
