Answer to Question #114451 in Mechanics | Relativity for Jason Grace

Question

A spring with a spring constant of 950 N/m is compressed 0.20 m. What speed can it give to a 1.5 kg ball when it is released?

Please answer using grade 11 Conservation of Energy and Momentum please!

Answer 1

Given Data : spring constant K = 950 N/m x = 0.20 m, Ball Mass m = 1.5 Kg

Energy stored in spring = $\frac{1}{2} \times k \times x^{2}$

Energy stored in spring =  $\frac{1}{2} \times 950 \times 0.20^{2}$

 

= 19 N.m (J)

Potential energy stored in spring = Kinetic Energy released to Ball

19 =  $\frac{1}{2} \times m \times v^{2}$

19 =  $\frac{1}{2} \times 1.5 \times v^{2}$

V =  $\sqrt{25.33}$

V = 5.03 $\frac{m}{sec^{2}}$

Speed of Ball is 5.03 $\frac{m}{sec^{2}}$