Respuesta :
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)
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)
The kinetic energy of the insect depends on its mass and velocity. The velocity of the insect is 14491.37 m/s.
What is kinetic energy?
The kinetic energy of an object is defined as the energy of the object due to its motion.
Given that the mass m1 of the automobile is 1250 kg and velocity v1 is 11 m/s. The mass m2 of the insect is 0.72 g and it has the same kinetic energy as the automobile.
The kinetic energy of the automobile is calculated as given below.
[tex]KE = \dfrac {1}{2}m_1v_1^2[/tex]
[tex]KE = \dfrac {1}{2} \times 1250 \times 11^2[/tex]
[tex]KE = 75625 \;\rm J[/tex]
The kinetic energy of the insect will be the same as the automobile is 75625 J. This is given as,
[tex]KE = \dfrac {1}{2}m_2v_2^2[/tex]
Where v2 is the velocity of the insect.
[tex]75625 = \dfrac {1}{2} \times 7.2 \times 10^{-4}\times v_2^2[/tex]
[tex]v_2^2 = \dfrac{151250}{7.2\times 10^{-4}}[/tex]
[tex]v_2^2 = 2.1 \times 10^8[/tex]
[tex]v_2 = 14491.37 \;\rm m/s[/tex]
Hence we can conclude that the velocity of the insect is 14491.37 m/s.
To know more about kinetic energy, follow the link given below.
https://brainly.com/question/999862.
