True or false - The vector for a negative acceleration points in the opposite direction when

So velocity of a balloon? Use V = 2KE over v. A hot air balloon with a mass of 100 kg moves across the sky with 3200 J of kineti

kicyunya [14]

Answer:

700

Explanation:

just put it in kokkokokokokokoook

7 0

3 years ago

Two identical small metal spheres with q1 > 0 and |q1| > |q2| attract each other with a force of magnitude 72.1 mN when se

Brrunno [24]

1) $+2.19\mu C$

The electrostatic force between two charges is given by

$F=k\frac{q_1 q_2}{r^2}$ (1)

where

k is the Coulomb's constant

q1, q2 are the two charges

r is the separation between the charges

When the two spheres are brought in contact with each other, the charge equally redistribute among the two spheres, such that each sphere will have a charge of

$\frac{Q}{2}$

where Q is the total charge between the two spheres.

So we can actually rewrite the force as

$F=k\frac{(\frac{Q}{2})^2}{r^2}$

And since we know that

r = 1.41 m (distance between the spheres)

$F= 21.63 mN = 0.02163 N$

(the sign is positive since the charges repel each other)

We can solve the equation for Q:

$Q=2\sqrt{\frac{Fr^2}{k}}=2\sqrt{\frac{(0.02163)(1.41)^2}{8.98755\cdot 10^9}}}=4.37\cdot 10^{-6} C$

So, the final charge on the sphere on the right is

$\frac{Q}{2}=\frac{4.37\cdot 10^{-6} C}{2}=2.19\cdot 10^{-6}C=+2.19\mu C$

2) $q_1 = +6.70 \mu C$

Now we know the total charge initially on the two spheres. Moreover, at the beginning we know that

$F = -72.1 mN = -0.0721 N$ (we put a negative sign since the force is attractive, which means that the charges have opposite signs)

r = 1.41 m is the separation between the charges

And also,

$q_2 = Q-q_1$

So we can rewrite eq.(1) as

$F=k \frac{q_1 (Q-q_1)}{r^2}$

Solving for q1,

$Fr^2=k (q_1 Q-q_1^2})\\kq_1^2 -kQ q_1 +Fr^2 = 0$

Since $Q=4.37\cdot 10^{-6} C$ , we can substituting all numbers into the equation:

$8.98755\cdot 10^9 q_1^2 -3.93\cdot 10^4 q_1 -0.141 = 0$

which gives two solutions:

$q_1 = 6.70\cdot 10^{-6} C\\q_2 = -2.34\cdot 10^{-6} C$

Which correspond to the values of the two charges. Therefore, the initial charge q1 on the first sphere is

$q_1 = +6.70 \mu C$

8 0

3 years ago

If you lift a five pound object 18 inches how many joules of energy did yo use?

kogti [31]

The work is 90 as 5 times 18

4 0

3 years ago

Static electricity occurs when two objects have different electrical charges. When objects are rubbed together, the electrons fr

denis23 [38]

Answer:Alter your winter wardrobe. Wearing your favorite wool sweater or socks might seem perfect for keeping warm, but your chances of being shocked will rise while wearing wool and certain synthetic fabrics, including nylon and polyester. ...

Humidify your home. ...

Use dryer sheets. ...

Keep touching metal.

Explanation:hope that helps

5 0

3 years ago

Read 2 more answers

An ambulance emits a frequency of 450 Hz from its siren. What frequency is heard by a man as the ambulance moves toward him? les

Zepler [3.9K]

Frequency is defined as the number of repetitions of waves occurring in 1 second. The frequency heard by the man as the ambulance move toward him will be greater than 450 Hz.

<h3>What is the frequency ?</h3>

Frequency is defined as the number of cycles completed in 1 second. Frequency is given by the formula as,

$\rm{Frequency =\frac{1}{time } }$

As the formula shows frequency is inversely proportional to the time that shows if the time is decreasing frequency will increase and vice versa.

In the above case, the ambulance is moving toward the men. So that the time to meet up is decreased that's why the frequency will be greater than the initial frequency from the siren.

Hence the frequency heard by the man as the ambulance move toward him will be greater than 450 Hz.

To learn more about frequency refer to the link ;

brainly.com/question/4393505

3 0

3 years ago