Formula for net force: force= mass x acceleration
Answer:
Explanation:
for rolling motion down the plane acceleration is given by the following expression
a = g sinθ / (1 + k² / R²)
here k is radius of gyration and R is radius of the object rolling down .
for cylinder I = 1/2 m R²
so k² = R² / 2
k² / R² = 1/2
a = g sinθ /( 1 + 1 / 2 )
= 2 / 3 x g sinθ
v = √ 2 a s
= √ (2 x 2 / 3 x g sinθ s )
= √ (4 / 3 x g h )
= √ (4 / 3 x g x .5 )
= √ 2g / 3
for sphere I = 2/5 m R²
so k² = 2/5 R²
k² / R² = 2 / 5
a = g sinθ / (1 + 2 / 5)
= 5 / 7 x g sinθ
v = √ 2 a s
= √ (2 x 5 / 7 x g sinθ s )
= √ (10/7 x g h )
Given
√ (10/7 x g h ) = √ 2g / 3
10/7 x g h = 2g / 3
h = 14 / 30 m
= .47 m .
Answer:
Part a)

Part b)

Part c)

Part d)

Explanation:
Part a)
As we know that the orbital speed of the satellite is given as

now we will have

now we have


now we have


Part b)
Here force between mars and satellite is the gravitational attraction force which is given as



Part c)
Acceleration of satellite is the ratio of gravitational force and mass of the satellite



Part d)
As we know by III law of kepler

here we know that T2 = 8 T1


so we have

as we know that speed is given as

so we can say since radius is orbit becomes 4 times so the orbital speed must be half

Answer:
the answer is
Explanation:For equilibrium
Weight = Tension
mg=T
∴T=4×3.1π=12.4πN (as can be inferred from the question)
Y=
△l/l
T/A
=
1000
0.031
/20
12.4π/π(
1000
2
)
2
=
4×0.031
12.4×20×1000×(1000)
2
=2×10
12
N/m
2
Answer:
it depends on wether the + and - are facing eachother
or away from eachother
Explanation: