Question

How fast does a 0.04 kg arrow need to travel to have 50 Joules of kinetic energy?

a) 50 m/s
b) 10 m/s
c) 5 m/s
d) 100 m/s

Answer 1

The arrow needs to travel at a speed of 50 m/s to have 50 Joules of kinetic energy.

Step-by-step explanation:

To calculate the speed needed for the arrow to have 50 Joules of kinetic energy, we can use the equation for kinetic energy:

Kinetic Energy (KE) = 0.5 * (mass * speed^2)

Given that the mass of the arrow is 0.04 kg and the kinetic energy is 50 Joules, we can rearrange the equation as:

50 = 0.5 * (0.04 * speed^2)

Simplifying the equation, we find:

speed^2 = (50 * 2) / 0.04

speed^2 = 2500

speed = 50 m/s

Therefore, the arrow needs to travel at a speed of 50 m/s to have 50 Joules of kinetic energy. So, the correct answer is (a) 50 m/s.