Estimate the average force exerted by a shot-putter on a 7.0-kg shot if the shot is moved through a distance of 2.2 m and is released with a speed of 12 m/s .

Respuesta :

Answer:

229.11 N

Explanation:

Mass of the shot (m) = 7.0 kg

Distance moved by the shot (S) = 2.2 m

Initial velocity of the shot (u) = 0 m/s (assume)

Final velocity of the shot (v) = 12 m/s

First we will determine the acceleration of the shot using the following equation of motion.

[tex]v^2=u^2+2aS\\\\(12)^2=0+2a(2.2)\\\\144=4.4a\\\\a=\frac{144}{4.4}=32.73\ m/s^2[/tex]

So, the acceleration of the shot is 32.73 m/s².

Now, using Newton's second law, the force acting on the shot is equal to the product of mass and acceleration. So,

Force = Mass × Acceleration

[tex]F=ma\\\\F=7\ kg \times 32.73\ m/s^2\\\\F=229.11\ N[/tex]

Therefore, the average force exerted by the shot-putter is 229.11 N.