Question

You hold a slingshot at arm's length, pull the light elastic band back to your chin, and release it to launch a pebble horizontally with speed 150 cm/s. With the same procedure, you fire a bean with speed 1050 cm/s. What is the ratio of the mass of the bean to the mass of the pebble?

Answer 1

Answer:

$\frac{m_2}{m_1} = 0.020$

Explanation:

As we know that in this sling shot the kinetic energy given to the mass is equal to the elastic potential energy stored in it

now we shot two object in same sling shot so here the kinetic energy must be same in two objects

$\frac{1}{2}m_1v_1^2 = \frac{1}{2}m_2v_2^2$

now we have

$m_1$ = mass of pebble

$m_2$ = mass of bean

$v_1 = 150 cm/s$

$v_2 = 1050 cm/s$

now we have

$\frac{m_2}{m_1} = \frac{v_1^2}{v_2^2}$

$\frac{m_2}{m_1} = \frac{150^2}{1050^2}$

$\frac{m_2}{m_1} = 0.020$