Buoyant force = 15N (and it's less than weight)
Answer: 4. removing tumors in the large intestine
Answer:
The rocket has to be launched 8 m from the hoop
Explanation:
Let's analyze this problem, the rocket is on a car that moves horizontally, so the rocket also has the same speed as the car; The initial horizontal rocket speed is (v₀ₓ = 3.0 m/s).
On the other hand, when starting the engines we have a vertical force, which creates an acceleration in the vertical axis, let's use Newton's second law to find this vertical acceleration
F -W = m a
a = (F-mg) / m
a = F/m -g
a = 7.0/0.500 - 9.8
a = 4.2 m/s²
We see that we have a positive acceleration and that is what we are going to use in the parabolic motion equations
Let's look for the time it takes for the rocket to reach the height (y = 15m) of the hoop, when the rocket fires its initial vertical velocity is zero (I'm going = 0)
y =
t + ½ a t²
y = 0 + ½ a t²
t = √ 2y/a
t = √( 2 15 / 4.2)
t = 2.67 s
This time is also the one that takes in the horizontal movement, let's calculate how far it travels
x = v₀ₓ t
x = 3 2.67
x = 8 m
The rocket has to be launched 8 m from the hoop
1) The electrostatic force between the two pieces of paper is 
2)
- If the charges of the two pieces of paper are both + or both -, they repel each other
- If the charges of one piece of paper is positive and the other one is negative, they attract each other
Explanation:
1)
The electrostatic force between two charged objects is given by Coulomb's law:

where:
is the Coulomb's constant
are the two charges
r is the separation between the two charges
In this problem, we have the following situation:
is the charge on the first piece of paper
is the charge on the second piece of paper
is their separation
Substituting into the equation, we find the magnitude of the electrostatic force between them:

2)
The electrostatic force can be either attractive of repulsive, depending on the relative sign of the charges of the objects involved.
In particular, we have:
- If the two charges have same sign (both positive or both negative), the force between them is repulsive
- If the two charges have opposite sign (one positive and one negative), the force between them is attractive
Therefore, in this case:
- If the charges of the two pieces of paper are both + or both -, they repel each other
- If the charges of one piece of paper is positive and the other one is negative, they attract each other
Learn more about electric force:
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