Answer:
Explanation:
According to the law of conservation of energy, the total energy of the system can be expresed as the sum of the potential energy and kinetic energy:
When the spring is in its equilibrium position, that is 
, the object speed its maximum. So, we have:
In order to double its maximum speed, that is 
. We have:
Assuming the earth and the sun to be perfect spheres,
Volume of the sphere = 4/3 * pi * (r**3)
Volume of the earth = 4/3 * pi * ((4000*1.609 km)**3) = 1.116 E 12 km3
Volume of the Sun= 4/3 * pi * ((7 E 5 km)**3) = 1.436 E 18 km3
Density = mass /volume
Density of earth = 6 E 24 kg / 1.116 E 12 km3 = 5.376 E 12 [kg/km3]
Density of Sun= 2 E 30 kg / 1.436 E 18 km3 = 1.392 E 12 [kg/km3]
Density of earth / Density of Sun =
5.376 E 12 [kg/km3] / 1.392 E 12 [kg/km3] = 3.86
Kinetic of automobile
Mass m = 1,250 Kg; V = 11 m/s
Formula: K.E = 1/2 mV²
K.E = 1/2(1,250 Kg)(11 m/s)²
K.E = 75,625 J
Speed required for insect to have the same kinetic energy as automobile
Mass of insect = 0.72 g convert to Kg m = 7.2 x 10⁻⁴ Kg
K.E = 1/2 mV² Derive V =?
V = 2 K.E/m
V = √2(75,625 J)/7.2 x 10⁻4 Kg
V = √2.1 x 10⁸ m²/s²
V = 14,491.34 m/s (velocity of insect)
