Answer: 3.27kg
Explanation:
Inertia can be said to be the resistance of an object to a change in its motion. This includes a change in its direction. An object will stay still or keep moving at the same speed and in a straight line, except it is acted upon by an unbalanced external force.
Given F = 30N
r = 0.14m
a = 130rad/s²
Then, T = Fr
T = 30*0.14
T = 4.2Nm
Also, T = inertia * acceleration
Inertia = 4.2/a
Inertia = 4.2/130
Inertia = 0.032
Also, inertia = mr²/2
0.032 = m * (0.14²)/2
0.032 = m * 0.0098
m = 0.032/0.0098
m = 3.27kg
From the given information:
- Taking the movement of the Duck in the North as the x-direction
- The movement of the Duck in the East direction as the y-direction
However, we will have to compute the initial velocity and the acceleration of the duck in their vector forms.
<h3>In vector form;</h3>
The initial velocity is:

The acceleration is:

The objective of this question is to determine the speed of the duck at a certain time. Since it is not given, let's assume we are to determine the Duck speed after 4 seconds of accelerating;
Then, it implies that time (t) = 4 seconds.
Using the first equation of motion:

Then, we can replace their values into the equation of motion in order to determine the speed:



Collect like terms:


Thus, the magnitude is:




Therefore, we can conclude that the speed of the duck after 4 seconds is 1.34 m/s
Learn more about vectors here:
brainly.com/question/17108011?referrer=searchResults
Initial Velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts.
<h2>
I hope this helps...</h2><h2>
Good day :)</h2>
Transverse waves is the answer.
Hope I helped if you need anything else ask me