When a rattlesnake strikes, its head accelerates from rest to a speed of 28 m/s in 0.65 seconds. Assume for simplicity that the only moving part of the snake is its head of mass 170 g. How much (average) power does the rattlesnake need to accelerate its head that fast

102.52 W

Explanation:

Power: This ca be defined as the rate at which energy is used up.

The S. I unit of power is Watt (W).

From the question,

P = E/t ... Equation 1

Where P = average power of the snake head, E = energy of the snake, t = time.

But,

E = 1/2mv² ... Equation 2

Where m = mass of the head, v = velocity of the snake head.

Substitute equation 2 into equation 1

P = 1/2mv²/t ... Equation 3

Given: m = 170 g = 0.17 kg, v = 28 m/s, t = 0.65 s.

Substitute into equation 3

P = 1/2 (0.17) (28²) / 0.65

P = 102.52 W.

Hence the average power of the snake = 102.52 W