Answer:
a) M = 2,939 10¹⁷ kg
, b) / M = 2 10⁷
Explanation:
a) The equation for gravitational force is
F = G m M / r²
Where G is the gravitational constant that is worth 6.67 10⁻¹¹ N m² / kg², m the mass epa person. M the mass of the Mountain and r the distance between them.
The value of this force is 2% of the person's weight
F = 0.02 W = 0.02 mg
we replace
0.02 mg = G m M / r²
M = 0.02 g r² / G
r = 10 km = 10 10³ m = 1.0 10⁴ m
M = 0.02 9.8 (10⁴)² / 6.67 10⁻¹¹
M = 2,939 10¹⁷ kg
b) to compare the masses we find their relationship
/ M = 5.98 1024 / 2,939 1017
/ M = 2 10⁷
c) treating the mountain as a point object
d) The mountain is not spherical so the distance changes depending on the height of the mountain
Answer:
Speed = 0.296m/2
Period = 0.203 s
Explanation:
If by 'long' you mean the wavelength of the waves, then the wavelength .
The frequency of the waves is 14.8 waves every 3 seconds or
.
Now the relationship between wavelength , frequency
and speed
of the waves is:
We put in the values and
and get:
Now the period is just the inverse of the frequency, or
Answer:
The no of revolutions rotor turn before coming to rest is 1,601.1943 and time taken is equal to 19.21 seconds
Explanation:
here we know that torque = I×α
α= angular acceleration
I = moment of inertia of hollow disc = m×
given that m=4.37kg
k=0.0710m
torque=1.2Nm
from the above equation we can calculate the angular acceleration of the hollow disc .
since
from this above equation
no of revolutions = = 1,601.1943.
Now to calculate time we know that time =
so upon calculating we will be getting t=19.21 seconds
She can climb 0.92 m without losing weight.
<u>Explanation</u>:
Gravitational potential energy is the energy consisting of the product of mass, gravity and height.
1 cal = 4184 J
140 cal = 585760 J
Energy = 585760 J, m = 65.0 kg = 65000 g, Efficiency = 20 %
GPE = mgh
where m represents the mass
g represents the gravity,
h represents the height.
585760 = 65000 9.8
h
h = 0.92 m.