Answer:
(a) 2.734 J
(b) 3.881 J
(c) 1.42
Explanation:
Kinetic Energy: This is the energy a body posses due to motion. The unit of kinetic energy is Joules (J). It can be expressed mathematically as
K = 1/2mv².............................................. Equation 1
Where K = kinetic energy, m = mass, v = velocity.
(a) Given: m₁ = 3.1 g, = 0.0031 kg, v = 42.0 m/s.
Substituting into equation one above,
K₁ = 1/2(0.0031)(42)²
K₁ = 2.734 J
Thus Kinetic Energy of the first bullet = 2.734 J
(b) Given: m₂ = 4.4 g = 0.0044 kg, v = 42 m/s.
Substituting into equation one above,
K₂ = 1/2(0.0044)(42)²
K₂ = 3.881 J
Thus Kinetic energy of the second bullet = 3.881 J
(c) K₂/K₁ = 3.881/2.734
K₂/K₁ = 1.42
