The drawing shows three objects rotating about a vertical axis. The mass of each object is given in terms of m0, and its perpend
icular distance from the axis is specified in terms of r0. Rank the three objects according to their moments of inertia, largest to smallest.
1 answer:
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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:
The acceleration of the car in SI units is <u>2.68m/s².</u>
The acceleration is <u>0.27</u> times the acceleration due to gravity g.
Convert the speed in mph into m/s.
1 mile = 1609 m and 1h = 3600 s.
Therefore,
Acceleration is the rate of change of velocity. The car starts from rest , its initial velocity u = 0 and accelerates to a velocity v of 26.82 m/s in 10 s.
Use these values in the equation and calculate the acceleration.
Thus the car accelerates at a rate of <u>2.68 m/s².</u>
The acceleration due to gravity g on Earth has a value 9.81 m/s².
Find the ratio
The car's acceleration is <u>0.27 times the value of g.</u>
Given the potential energy of 100 J, the height of the hill is 0.128 m (12.8 cm)
Explanation:
The gravitational potential energy of an object is given by:
where
m is the mass of the object
g is the acceleration of gravity
h is the heigth of the object, relative to the ground
In this problem, we have
U = 100 J is the potential energy of the person
is the acceleration of gravity
m = 80 kg is the mass of the person
Solving for h, we find at what height the person is:
Learn more about gravitational potential energy here:
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