Recent content by sitzpillow

Dear physicist, my task is to calculate the acceleration of a particle of mass m which moves without friction in the Earth's gravitational field on a helix: The helix is parameterized as shown: x(\phi)=a cos \phi y(\phi)=a sin \phi z(\phi)=c \phi formed with a radius a,gradient c as constants...

Thank you. To finish that threat I conclude: t_k means the time between the k and k+1 impact. for t_0 we get t_0=\sqrt{\frac{2h}{g}} with s=ut+\frac{1}{2}gt^2 for t_k with k>0 \Sigma{t_k}=\Sigma_1^n{2 \frac{a^k v_0}{g}}=\Sigma_0^n{2 \frac{a^k v_0}{g}}-\frac{2v_0}{g} now we let n go to...

How does the v_k looks like? t_k=2 \frac{a^k v_0}{g} = 2 a^k \frac{\sqrt{2gh}}{g}= 2 a^k \sqrt{\frac{2h}{g}} ? What's next?

I'm really happy about every hint! Homework Statement There is a ball on hight h which is dropped on a table. With every Impact the ball loses velocity v by a factor a<1. I Need to Show the following: The time T after the ball stopps bouncing is: T = \frac{1+a}{1-a} (\frac{2h}{g})^\frac{1}{2}...