Find out what the force is and yiy have your answer
Answer:
Two possible points
<em>x= 0.67 cm to the right of q1</em>
<em>x= 2 cm to the left of q1</em>
Explanation:
<u>Electrostatic Forces</u>
If two point charges q1 and q2 are at a distance d, there is an electrostatic force between them with magnitude
We need to place a charge q3 someplace between q1 and q2 so the net force on it is zero, thus the force from 1 to 3 (F13) equals to the force from 2 to 3 (F23). The charge q3 is assumed to be placed at a distance x to the right of q1, and (2 cm - x) to the left of q2. Let's compute both forces recalling that q1=1, q2=4q and q3=q.
Equating
Operating and simplifying
To solve for x, we must take square roots in boths sides of the equation. It's very important to recall the square root has two possible signs, because it will lead us to 2 possible answer to the problem.
Assuming the positive sign
:
Since x is positive, the charge q3 has zero net force between charges q1 and q2. Now, we set the square root as negative
The negative sign of x means q3 is located to the left of q1 (assumed in the origin).
Answer:
775 grams of ice
Explanation:
Heat loss by patient = heat gained by ice
Heat loss by patient = mass×specific heat capacity×(initial temperature - final temperature) = 62×4200×(40-39) = 260,400J
Heat gained by ice = mass × specific latent heat of fusion of ice = m×336000 = 336000m J
336000m = 260,400
m = 260400/336000 = 0.775kg = 0.775×1000 grams = 775 grams of ice
Let <em>m</em> be the mass of both cubes. If the smaller cube has side length <em>x</em>, then its volume is <em>x</em> ³. The side lengths of the larger cube have length 4<em>x</em>, so the larger cube's volume is (4<em>x</em>)³ = 64<em>x</em> ³, or 64 times as large as the smaller cube.
The first cube has a density of <em>m</em>/<em>x</em> ³, while the larger one has a density of <em>m</em>/(64<em>x</em> ³) = 1/64 <em>m</em>/<em>x</em> ³, so the ratio of densities is (1/64):1, or 1:64 (larger cube to smaller cube).