f = 10000N
distance moved = 20 m
work done = 10000*20 = 200000
At the top most position when ball reach to height 31 m
The speed of the ball must be ZERO
now we can use kinematics to find the final speed of the ball when it will hit back the ground
the equation of kinematics will be




so it will hit the ground at speed 24.65 m/s
- The angular acceleration of the wheel approximately <u>-0.76 rad/s² or proportionally as deceleration approximately 0.76 rad/s</u>.
- It need approximately <u>14.474 s</u> to come to rest.
<h2>Introduction</h2>
Hi ! I will help you to discuss about Proportionally Changes in Circular Motion. The analogy of proportionally changes in circular motion is same as the analogy of proportionally changes in direct motion. Here you will hear again the terms acceleration and change in speed, only expressed in the form of a certain angle coverage. Before that, in circular motion, it is necessary to know the following conditions:
- 1 rotation = 2π rad
- 1 rps = 2π rad/s
- 1 rpm =
=
<h2>Formula Used</h2>
The following equations apply to proportionally changes circular motion:
<h3>Relationship between Angular Acceleration and Change of Angular Velocity </h3>

With the following conditions:
= final angular velocity (rad/s)
= initial angular velocity (rad/s)
= angular acceleration (rad/s²)- t = interval of the time (s)
<h3>Relationship between Angular Acceleration and Change of

(Angle of Rotation) </h3>

Or

With the following condition :
= change of the sudut (rad)
= angular acceleration (rad/s²)- t = interval of the time (s)
= final angular velocity (rad/s)
= initial angular velocity (rad/s)
<h2>Problem Solving</h2>
We know that :
= final angular velocity = 0 rad/s >> see in the sentence "in the process of coming to rest."
= initial angular velocity = 11 rad/s
= change of the sudut = 80.0 rad
What was asked :
= angular acceleration = ... rad/s²- t = interval of the time = ... s
Step by step :
= ... rad/s²










<h3>Conclusion</h3>
So :
- The angular acceleration of the wheel approximately -0.76 rad/s² or proportionally as deceleration approximately 0.76 rad/s.
- It need approximately 14.474 s to come to rest.
Answer:
15 kJ
Explanation:
We need to know the following;
what is activation energy?
- Activation energy is the minimum energy required by reactants for a chemical reaction to take place.
What are catalysts?
- Catalysts are molecules or substances that speed up the rate of a chemical reaction.
- In other words, catalysts increase the speed at which products are formed from reactants.
How do catalysts speed up reactions?
- Catalysts speed the rate of chemical reactions by lowering the activation energy of the reactants.
- When activation energy is lowered, reactants require less energy for the reaction to occur which easily achieved making the reaction proceed faster.
- Therefore, in presence of a catalyst, the new activation energy should be lower than the initial value of activation energy.
Explanation:
Image distance, v = -17 cm (-ve for virtual image)
Radius of curvature of concave mirror, R = 39 cm
Focal length, f = -19.5 cm (-ve for a concave mirror)
(a) Using mirror's formula as :


u = 132.6 cm
So, the object is placed 132.6 cm in front of the mirror.
(b) Magnification of the mirror, 

m = -0.128
Hence, this is the required solution.