The net force acting on the child is 200N.
When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
The net force acting on the child will be
Net force = Sum of all the individual force with sign
Net force = -100 + 0 + 100 +200
Net force = 200 N.
Therefore, the net force acting on the child is 200 N.
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Answer:
The ball will go over the net when she's standing 2 feet away from the net, but not at 4 ft from the net
Explanation:
Suppose then when the player is 2ft from the net, we can plug in x = 2:
As 8 feet > 7 ft 4 in, the ball will go over the net
If the player moves back so that she's 4 feet from the net, plug in x = 4:
As 7 ft < 7 ft 4 in, this time the ball will NOT go over the net
The function models the path of a volleyball when the player is 2 feet from the net and will the ball go over the net at different distances.
The function f(x) = -0.25(x-2)^2 + 8 models the path of a volleyball when the player is 2 feet from the net. To determine if the ball will go over the net, we need to compare the height of the ball's path with the height of the net.
First, let's convert the height of the net to feet. The height, 7 ft 4 in, is equivalent to 7.33 feet. Now, substitute x = 2 into the function to find the height of the ball when the player is 2 feet from the net. f(2) = -0.25(2-2)^2 + 8 = 8 ft.
The ball will go over the net because the height of the ball, 8 feet, is greater than the height of the net, 7.33 feet.
If the player moves back so she is 4 feet from the net, substitute x = 4 into the function: f(4) = -0.25(4-2)^2 + 8 = 10 ft. The ball would still go over the net, as the height of the ball, 10 feet, is greater than the net's height.
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Explanation :
The momentum of an object is defined as the product of its mass and the velocity with which it is moving. It is denoted as p.
Mathematically, it is written as :
m is the mass of an object
v is the velocity
So, it is clear that the momentum of an object is directly proportional to its velocity.
The statement "as a moving object's velocity decreases, its momentum decreases" is absolutely true.