A bow has k= 458 N/m. It is pulled back 0.720 m, and used tofire a 0.0925 kg arrow. It hits a bird 24.7 m above the ground. What is the speed of the arrow when it hits?

The final speed of the arrow when it hits the target is 45.63 m/s.

Explanation:

Given;

spring constant of the bow, k = 458 N/m

extension of the bow, x = 0.72 m

mass of the arrow, m = 0.0925 kg

let the initial speed of the arrow after being fired = u

Apply the law of conservation of energy, the elastic potential energy of the bow will be converted to kinetic energy of the arrow.

The speed of the arrow when it hits a target 24.7 m above the ground is calculated as;

v² = u² + 2gs

where;

v is the final speed when the arrow hits the target

g is acceleration due to gravity = (-9.8 m/s², upward motion)

v² = 50.66² + 2(-9.8)24.7

v² = 2566.44 - 484.12

v² = 2082.32

v = √2082.32

v = 45.63 m/s

Therefore, the final speed of the arrow when it hits the target is 45.63 m/s.

massxgravity x heght=weightxheight= pe

4900=490xh

h=10

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.