The answer is 0.981 J
E = m · g · h<span>
E - energy
m - mass
g - gravitational acceleration
h - height
We know:
E = ?
m = 0.10 kg
g = 9.81 m/s</span>²
h = 1 m
E = 0.10 kg * 9.81 m/s² * 1 m = 0.981 J
Answer:
The wooden floor exerts a greater force to give the same impulse as a padded mat.
Explanation:
-The wooden floor exerts a greater force for the same impulse as the padded mat.
-Unlike the wooded floor, the padded mat absorbs some of the energy when you fall. This in turn makes it exert less force on the body during the fall.
-Hence, you are less hurt when you fall on the padded floor.
Answer:
5 years
Explanation:
The centripetal acceleration of a planet is equal to the acceleration due to gravity.
ac = g
Centripetal acceleration is:
ac = v² / r
where v is velocity and r is radius of travel.
Acceleration due to gravity is:
g = GM / r²
where G is gravitational constant, M is the mass of the sun, and r is the radius of travel.
Therefore:
v² / r = GM / r²
v² = GM / r
v = √(GM / r)
Distance is speed times time, so:
d = v t
2πr = √(GM / r) t
t = 2πr √(r / (GM))
t = 2π √(r³) / √(GM)
We know that when r = 1 AU, t = 1 year.
1 = 2π √(1³) / √(GM)
1 = 2π / √(GM)
2π = √(GM)
Substituting:
t = 2π √(r³) / (2π)
t = √(r³)
When r = 3AU:
t = √(3³)
t = 5.2
Planet B takes approximately 5 years to orbit the sun.
The second one !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!