1) The mass has the same value before and after the impact (We will neglect the microscopic effects in which there may be a minimum molecular loss of the material) so the equation will be
If we put the mass in one side of the expression (or just cancel directly) we have that
2) We must clear from the equation previously found the number two that is dividing the expression (It would go to the other side of the equation to multiply) and the exponent that would pass to the other of the expression as root therefore
3) We must simply replace the given values, the height is 3.67m and the gravity on the ground is therefore
Answer:
- 8.33 x 10⁻³ rad /s ( anticlockwise)
Explanation:
The rotational movement of beetle and turntable is caused by torque generated by internal forces , we can apply conservation of angular momentum.
That is ,
I₁ ω₁ = I₂ω₂ , ω₁ and ω₂ are angular velocity of beetle and turntable respectively.
ω₁ + ω₂ = .05 radian /s ( given )
Momentum of inertia of beetle I₁ = mass x (distance from axis)²
= 15 x 10⁻³ x R² ( R is radius of the turntable )
Momentum of inertia of turntable I₂ =1/2 mass x (distance from axis)²
= 75/2 x 10⁻³ x R² ( R is radius of the turntable )
I₁ ω₁ = I₂ω₂ ,
15 x 10⁻³ x R² x ( .05 - ω₂ ) = 75/2 x 10⁻³ x R² ω₂
15 x ( .05 - ω₂ ) = 75/2 x ω₂
.75 - 15ω₂ = 37.5ω₂
.75 = 52.5 ω₂
ω₂ = - 14.3 x 10⁻³ rad /s ( anticlockwise)
<span>The two neighboring planets with the greatest distance between them is Neptune and Uranus. This happens when they are at the opposite sides of the Sun at approximately. They are 4500 million miles away from each other.</span>