What would the separation between two identical objects, one carrying 4 C of positive charge and the other 4 C of negative charg
1 answer:
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Answer:
about 19.6° and 73.2°
Explanation:
The equation for ballistic motion in Cartesian coordinates for some launch angle α can be written ...
y = -4.9(x/s·sec(α))² +x·tan(α)
where s is the launch speed in meters per second.
We want y=2.44 for x=50, so this resolves to a quadratic equation in tan(α):
-13.6111·tan(α)² +50·tan(α) -16.0511 = 0
This has solutions ...
tan(α) = 0.355408 or 3.31806
The corresponding angles are ...
α = 19.5656° or 73.2282°
The elevation angle must lie between 19.6° and 73.2° for the ball to score a goal.
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I find it convenient to use a graphing calculator to find solutions for problems of this sort. In the attachment, we have used x as the angle in degrees, and written the function so that x-intercepts are the solutions.
Answer:
Explanation:The rotational inertia of any object depends directly on the distance the mass is from the axis of a rotating object
Having more mass at the sides will increase the rotational inertia of the object that is why a Hollow sphere having same M and R as the solid one has more rotational inertia as it has more mass at the sides.
The sphere have some mass at the center but most of its mass is closer to its radius and thus have more inertia than flat Disk.
The same relation exist between a flat disk and hollow sphere. The hollow sphere have some mass at the center but most of its mass is closer to its radius and thus have more inertia.
The rotational of the objects can be calculated by these equations
Since you solved a and b I will start with part c.
Part C
To answer this question we need to find zeros of a velocity function:
We can factor this polynomial:
Now it's pretty easy to find zeros. This function will be equal to zero when any of the factors are equal zero.
We solve these two equations and we get our zeros:
The particle is at rest at t=0 and t=3/2.
Part D
To solve this we need to determine when our velocity function is greater than zero. We will use factored form.
We determine when each factor is greater than zero and with that information, we build the following table:
We can see, from the table, that our function is positive when
and t>3/2.
That is the range in which particle is moving in positive direction.
Part E
We know that distance traveled is given with:
We simply plug in t=12 to find total distance traveled:
Part F
We know that acceleration is defined as a rate of change of velocity.
We find acceleration by taking the first derivative of velocity with respect to time.
To find acceleration after 1 second we simply plug in t=1s in above equation:
Part C
To answer this question we need to find zeros of a velocity function:
We can factor this polynomial:
Now it's pretty easy to find zeros. This function will be equal to zero when any of the factors are equal zero.
We solve these two equations and we get our zeros:
The particle is at rest at t=0 and t=3/2.
Part D
To solve this we need to determine when our velocity function is greater than zero. We will use factored form.
We determine when each factor is greater than zero and with that information, we build the following table:
We can see, from the table, that our function is positive when
That is the range in which particle is moving in positive direction.
Part E
We know that distance traveled is given with:
We simply plug in t=12 to find total distance traveled:
Part F
We know that acceleration is defined as a rate of change of velocity.
We find acceleration by taking the first derivative of velocity with respect to time.
To find acceleration after 1 second we simply plug in t=1s in above equation: