Question

The goose has a mass of 20.5 lblb (pounds) and is flying at 7.80 miles/hmiles/h (miles per hour). What is the kinetic energy of the goose in joules?

Answer 1

The Kinetic energy of the goose = 56.071 J

Step-by-step explanation:

Kinetic Energy: This can be defined as the energy of a body in motion.

Mathematically, it can be expressed as

Ek = 1/2mv²................................ Equation 1.

Where Ek = kinetic energy of the goose, m = mass of the goose, v = velocity of the goose.

Given: m = 20.5 lb, and v = 7.8 miles/h.

Conversion: (i) If 1 lb = 0.45 kg,

then, 20.5 lb = 0.45(20.5) = 9.225 kg.

Also, (ii) If 1 mile/h = 0.447 m/s

then, 7.8 miles/h = 0.447×7.8 = 3.4866 m/s

Therefore, m = 9.225 kg, v = 3.4866 m/s

Substituting into equation 1

Ek = 1/2(9.225)(3.4866)²

Ek = 4.6125×12.1564

Ek = 56.071 J.

Thus the Kinetic energy of the goose = 56.071 J