Dependent Variable=Responding Variable.
Answer:
The mechanical energy of the ball-Earth-floor system the instant the ball left the floor is 7 Joules.
Explanation:
It is given that,
Initial gravitational potential energy of the ball-Earth-floor system is 10 J.
The ball then bounces back up to a height where the gravitational potential energy is 7 J.
Let U is the mechanical energy of the ball-Earth-floor system the instant the ball left the floor. Due to the conservation of energy, the mechanical energy is equal to difference between initial gravitational potential energy and the after bouncing back up to a height.
Initial mechanical energy is 10 + 0 = 10 J
Mechanical energy just before the collision is 0 + 10 = 10 J
Final mechanical energy, 7 + 0 = 7 J
Hence, the mechanical energy of the ball-Earth-floor system the instant the ball left the floor is 7 Joules.
Answer: 24.24 m
Explanation:
A player throws football 50.0 m at 61° North of west. we will write this in terms of horizontal and vertical components.
Horizontal component: 50 cos 61° = 24.24 m which is westwards
Vertical component: 50 sin 61° = 43.73 m which towards North.
Refer to diagram below.
Thus, the westward component of displacement of the football is the horizontal component of the displacement = 24.24 m.
Answer:
a) 
b) 
c)
d) 
Explanation:
Given:
- mass of the astronaut,

- vertical displacement of the astronaut,

- acceleration of the astronaut while the lift,

a)
<u>Now the force of lift by the helicopter:</u>
Here the lift force is the resultant of the force of gravity being overcome by the force of helicopter.

where:
force by the helicopter
force of gravity


b)
The gravitational force on the astronaut:



d)
Since the astronaut has been picked from an ocean we assume her initial velocity to be zero, 
using equation of motion:



c)
Hence the kinetic energy:



One phenomenon which well presents the idea of wave particle duality is the photoelectric effect.
<h3>
What is wave particle duality?</h3>
The term wave particle duality has to do with the fact that a wave can behave sometimes as a wave and sometimes as a particle. This was well established by the work of De Broglie.
One phenomenon which well presents the idea of wave particle duality is the photoelectric effect.
Learn more about wave particle duality:brainly.com/question/14953274
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