Here's the definition of 'Density'. You should memorize it.
We used it to answer #5 a few hours ago.
Density = (number of grams) divided by (number of mL) .
#6). Number of grams = 65.14
Volume = 35.4 mL
Just write these numbers in the definition, then divide,
and you'll have the density.
#7). Here, they gave you the density and the volume, and
they want you to find the mass.
Not a problem. Just write the numbers you know into
the definition again:
Density = (number of grams) divided by (the volume)
0.8765 = (number of grams) divided by (250 mL)
Multiply each side of this equation by 250 mL, and then it says
(0.8765) x (250 mL) = number of grams
Run this through your calculator, and you'll have the answer.
A concave mirror is a converging mirror while a convex mirror is a diverging mirror.
<h3>Curved mirrors</h3>
Curved mirrors are different from plane mirrors because they have a center of curvature. The image formed by each type of mirror depends on the position of the object.
There are two types of curved mirrors;
- Converging mirror
- Diverging mirror
A concave mirror is a converging mirror while a convex mirror is a diverging mirror. The images are not provided here so we can not really say which is which.
Learn more about curved mirrors: brainly.com/question/8512677
Average speed = (distance rolled) / (time to roll the distance)
Average speed = (32 meters) / (0.8 sec)
Average speed = (32/0.8) (meters/sec)
<em>Average speed = 40 m/s .</em>
<em></em>
I don't know. That's just a hair under 90 miles per hour. Is this reasonable for a bowling ball ? Does anybody roll a bowling ball as fast as a major league pitcher pitches a hardball ? ?
Answer:
The function is x = e^(-t/2) * (0.792*sin12t + 5cos12t)
Explanation:
we have to:
m = mass = 4 kg
k = spring constant = 577 N/m
c = damping constant = 4 N*s/m
The differential equation of motion is equal to:
m(d^2x/dt^2) + c(dx/dt) + k*x = 0
Replacing values:
4(d^2x/dt^2) + 4(dx/dt) + 577*x = 0
Thus, we have:
4*x^2 + 4*x + 577 = 0
we will use the quadratic equation to solve the expression:
x = (-4 ± (4^2 - (4*4*577))^1/2)/(2*4) = (-4 ± (-9216))/8 = (1/2) ± 12i
The solution is equal to:
x = e^(1/2) * (c1*sin12t + c2*cos12t)
x´ = (-1/2)*e^(1/2) * (c1*sin12t + c2*cos12t) + e^(-t/2) * (12*c1*cos12t - 12*c2*sin12t)
We have the follow:
x(0) = 5
e^0(0*c1 + c2) = 5
c2 = 5
x´(0) = 7
(-1/2)*e^0 * (0*c1 + c2) + e^0 * (12*c1 - 0*c2) = 7
(-1/2)*(5) + 12*c1 = 7
Clearing c1:
c1 = 0.792
The function is equal to:
x = e^(-t/2) * (0.792*sin12t + 5cos12t)