This question involves the concepts of centripetal force, range of projectile and projectile motion.
The magnitude of centripetal force is "2812.8 N".
First, we will find the velocity of the ball by using the formula of the range of the projectile.
where,
R = range of projectile = 86.75 m
v = speed = ?
θ = launch angle = 47.9°
g = acceleration due to gravity = 9.81 m/s²
Therefore,
v = 29.25 m/s
Now, we will use the formula to find out the centripetal force:
where,
= Centripetal Force = ?
m = mass of the ball = 7.3 kg
v = speed = 29.25 m/s
r = radius = 2.22 m
Therefore,
<u>Fc = 2812.8 N = 2.812 KN</u>
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Answer:
In order to hit the same point with the second ball, you should throw it at an angle of 18° above the horizontal.
Explanation:
Horizontal reach formula for projectiles tells us
where 
is the initial velocity and 
the angle above the horizontal.
Since for both shots the reach must be the same, we have
.
Answer:
First option
Explanation:
<u>Operations with functions
</u>
Given two functions f, g, we can perform a number of operations with them including addition, subtraction, product, division, composition, and many others
.
We have
We are required to find
We simply divide f by g as follows
We know rational functions may have problems if the denominator can be zero for some values of x. We must find out if there are such values and exclude them from the domain of the new-found function. We must ensure
or equivalently
Thus the first option is correct
Note: Since 
is always a positive number (for x real), our function does not really have any restriction in its domain
Answer:
Assessment zone
Explanation:
It is the assessment zone in various security zones where active and passive security measures are employed to identify, detect, classify and analyze possible threats inside the assessment zones.
Answer: The net force is negative, The net force is positive, There is change in motion.
When an balanced force acts, there is change in motion. In case of balanced forces, the object does not change its motion. The unbalanced force causes change in the momentum of the object. There would be some net force. It would not be zero. The net force is zero when the acting forces are balanced. The net force in case of unbalanced forces have certain magnitude and are positive or negative depending on the direction. The positive and negative sign denotes direction of the net force.
