Question

The horizontal surface on which the block (mass 2.0 kg) slides is frictionless. The speed of the block before it touches the spring is 6.0 m/s. How fast is the block moving at the instant the spring has been compressed 15 cm? k = 2.0 kN/m

Answer 1

Answer:3.67 m/s

Step-by-step explanation:

mass of block(m)=2 kg

Velocity of block=6 m/s

spring constant(k)=2 KN/m

Spring compression x=15 cm

Conserving Energy

energy lost by block =Gain in potential energy in spring

`(m(v_1^2-v_2^2))/(2)=(kx^2)/(2)`

`2\left [ 6^2-v_2^2\right ]=2* 10^3* \left [ 0.15\right ]^2`

`v_2=3.67 m/s`