Answer:
The slopes shows that the direction of the field is from -2 to +2, with three point charges, q₁, q₂ and q₃ at -2, 0 and +2 respectively.
Explanation:
Given;
The slope, dy/dx = 2x(y-6) - 4
2x(y-6) - 4 = 2xy - 12x - 4, divide through by 'x'
dy/dx = 2y -12 - 4/x
The slopes of the linear elements on the lines, x =0, y = 5, y = 6, y = 7.
At x = 0, and y = 5
dy/dx = 2y -12 - 4/x
dy/dx = 2(5) - 12 = -2
At x = 0, and y = 6
dy/dx = 2y -12 - 4/x
dy/dx = 2(6) - 12 = 0
At x = 0, and y = 7
= 2y -12 - 4/x
dy/dx = 2(7) - 12 = 2
Therefore, the slopes shows that the direction of the field is from -2 to +2, with three point charges, q₁, q₂ and q₃ at -2, 0 and +2 respectively.
Answer:
The angular acceleration required is 0.1765 rad/ 
Explanation:
The radius of the bicycle wheel has a radius of 0.42 m.
The acceleration is for time, t = 6.8 seconds.
Initial angular velocity is given as 
= 5.5 rad/s
Final angular velocity is given as 
= 6.7 rad/s
Therefore from the formula for angular speed we get
= + (
t), where t is the time in seconds.
Therefore we get
6.7 = 5.5 + (6.8 × )
Therefore we get the angular acceleration, = 
The angular acceleration required is 0.1765 rad/
Answer:
yes. everything around you is matter including you!
B. force, distance, and time
Take a look at the definition of a Joule (SI unit of work) and the definition of a Watt (SI unit of power). They're (kg*m^2)/s^2 for work and (kg*m^2)/s^3 for power. Another definition for work is Newton Meter which is force times distance, and since you can define work as force times distance, then power is work per second. So it looks like you need force and distance to calculate work, and then time since power is work over time. So of the 4 choices, we've been given, let's see if any of them allow us to calculate both work and power.
<span>
a. energy, force, and time
* OK. Force will get us Newtons. But how much work do you have, don't know. Since work is force times distance. So can't get work. And without getting work, can't get power. Wrong answer.
b. force, distance, and time
* Force over distance nicely defines work. And time is essential since power is work over time. So this looks to be very good choice.
c. force, mass, and distance
* Have a problem here. Time is pretty essential since all of the SI units for work and power have seconds hiding somewhere in their definition. So this is the wrong answer.
d. mass, force, and energy
* Same issue, no time element here. So wrong answer.
</span>
Answer:
0.26 m/s^2
Explanation:
We're asked to find the acceleration of a body given the net force acting on it and it's mass.
To do this, we use Newton's second law.
