For adults age 19–50, Dietary Guidelines recommend consuming at least _______ of vegetables and fruits daily. A. 3 cups B. 1 to
2 answers:
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Answer:
1. Velocity = 75.39 m/s
2. Air resistance
3. Mass of the coin
Explanation:
1. Given that the height of the building is 290 m. From Newton's third law of motion,
=
+ 2gh
where: V is the final velocity of the coin, U is the initial velocity, g is the force of gravity and h is the height.
Since the coin was dropped from a height, its initial velocity is zero. The force of gravity is taken as 9.8 m/, so that:
= 0 + 2 x 9.8 x 290
= 5684
V =
= 75.3923
The velocity with which the coin hits the ground is 75.39 m/s.
2. Air resistance: During the free fall of the coin, the direction of wind flow could either cause an increase or decrease the value predicted.
ii. Mass of the coin: This can also affect the predicted value.
Answer:
a) The net electric force on the middle sphere due to spheres 1 and 3 is 404N. b) The direction of the net electric force is to the left.
Explanation:
In order to solve this problem, we must first draw our free body diagram (See attached picture).
By definition, two opposite charges attract each other, so the force due to sphere 1 will go to the left (being the left direction negative) and the force due to sphere 3 will go to the right (being the right direction positive).
Knowing this we can use the electric force formula to calculate each of the forces:
where =
So knowing this, we can now calculate each force. Let's start with the force exerted by sphere 1 over sphere 2:
Which gives me a force of:
In this case the force will be negative because it's directed towards sphere 1, this is to the left.
We can do the same with the force due to sphere 3:
Which gives me a force of:
In this case the force is positive because it's directed towards sphere 3, this is it goes to the right.
With these two values I can now find the net force electric force on the middle sphere due to spheres 1 and 3.
∑F
a) Since part a of the problem only asks us for the magnitude, then the net electric force on the middle sphere due to spheres 1 and 3 is 404.39N
b) since the answer when solving this problem was negative, this means that the force will be directed towards sphere 1, this is to the left.
