Answer:
Explanation:
Given
mass of drop 
height of fall 
ball leaves the foot with a speed of 18 m/s at an angle of 
Velocity of ball just before the collision with the floor



Impulse delivered in Y direction



Impulse in x direction





at an angle of 

Answer:
a) 
b)
º
c) 
Explanation:
From the exercise we know that the collision between Daniel and Rebecca is elastic which means they do not stick together
So, If we analyze the collision we got

To simplify the problem, lets name D for Daniel and R for Rebecca
a) 
Since Daniel's initial velocity is 0



Now, lets analyze the movement in the vertical direction

Since 


Now, we can find the magnitude of Daniel's velocity after de collision

b) To know whats the direction of Daniel's velocity we need to solve the arctan of the angle
º
c) The change in the total kinetic energy is:
ΔK=
ΔK=![\frac{1}{2}[(45kg)(8m/s)^2+(70kg)(7.32m/s)^2-(45kg)(14m/s)^2]=-1094.62J](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%2845kg%29%288m%2Fs%29%5E2%2B%2870kg%29%287.32m%2Fs%29%5E2-%2845kg%29%2814m%2Fs%29%5E2%5D%3D-1094.62J)
That means that the kinetic energy decreases
Answer:
Part a)

Part B)

Explanation:
Part A)
At the top of the hump the force on the rider is
1) Normal force
2) weight
so here we know that




Part B)
At the top of the loop we will have

in order to remain in contact the normal force must be just greater than zero
so we will have




Answer:
The height (h) will be:
Explanation:
The scape speed equation is given by:

Now, the speed of the missile is


Using the conservation of energy, we can find the maximu height of the missile.



Let's recall that g = GM/R², using the equivalence principle. When R is the radius of the earth and M is the mass of the earth.

Therefore the height (h) will be:
I hope it helps you!