The number of grams of gold you can purchase for $15 if Gold cost $8.00 per ounce is 53.26g
Dimensional analysis is a means of representing values using units.
From the question, we are told that Gold cost $8.00 per ounce, this means that:
$8.00 = 1 ounce
In order to calculate the amount in grams you can purchase for $15, we need to know the price in ounces first.
$15.00 = x
Divide both expressions
Next is to convert the ounces to pounds.
1 pound = 16 ounces
y = 1.875 ounces
y = 1.875/16
y = 0.1171875 pounds
Conver 0.1171875 pounds to kg
Since 1kg = 2.2 pounds
z = 0.1171875 pounds
2.2z = 0.1171875
z = 0.1171875/2.2
z = 0.053267kg
Finally, convert 0.053267kg to grams using the conversion rate
1kg = 1000g
0.053267kg = y
y = 0.05326 * 1000
y = 53.26g
This shows that the amount of grams you can purchase for $15 is 53.26g
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Equilibrium refers to a state in which all of the external forces on an object all balance each other such that there is no net effect (net force equals 0). An object in equilibrium will not experience acceleration, and will either remain at rest, or continue moving at a constant velocity. Here's a simple example, pick up a book (or any random object) and hold it up in the air. The book is now in equilibrium, the downwards force of gravity is perfectly countered by the upwards force that you are applying to it. Notice that the object neither falls nor goes upwards (i.e. no acceleration). Now let go of the book, notice how it falls downwards till it hits the ground (or whatever was beneath it). That is because without the upwards force applied by your hand, the object is no longer in equilibrium, and the force of gravity takes over until it is in equilibrium again.
Answer:
100kgms⁻¹
Explanation:
Given parameters:
Mass of the sled = 20kg
Velocity of the sled = 5m/s
Unknown:
Momentum of the sled = ?
Solution:
The momentum of a body is the quantity of motion such a body possesses. Due to this;
Momentum = mass x velocity
Now insert the parameters and solve;
Momentum = 20 x 5 = 100kgms⁻¹
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