F = M A
Force = (mass) x (acceleration)
= (1,650 kg) (4 m/s²) = 6,600 kg-m/s² = 6,600 Newtons
Answer: D
Explanation:
First, we know that the acceleration is defined as the ratio of change of the velocity.
This means that, if we have a change in the velocity, then we also have acceleration.
And by Newton's second law we know that:
F = m*a
Force equals mass times acceleration.
So if we have acceleration different than zero, then we should also have force different than zero.
So we must have a nonzero net force acting on it.
The correct option is D
Answer:
Explanation:
Let suppose that centrifuge is rotating at constant angular speed, which means that resultant acceleration is equal to radial acceleration at given radius, whose formula is:
Where:
- Angular speed, measured in radians per second.
- Radius of rotation, measured in meters.
The angular speed is first determined:
Where is the angular speed, measured in revolutions per minute.
If , the angular speed measured in radians per second is:
Now, if and , the resultant acceleration is then:
If gravitational acceleration is equal to 9.807 meters per square second, then the radial acceleration is equivalent to 1006.382 times the gravitational acceleration. That is:
C. The center of mass and center of gravity will coincide if the acceleration due to gravity is constant or uniform.
<h3>What is center of mass?</h3>
The center of mass of an object is the unique point where the weighted relative position of the distributed mass sums to zero.
<h3>What is center of gravity?</h3>
Center of gravity is the point from which the weight of a body or system may be considered to act.
Thus, the center of mass and center of gravity will coincide if the acceleration due to gravity is constant or uniform.
Learn more about center of gravity here: brainly.com/question/874205
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I didn't have a dollar bill handy. So I conducted an extensive, exhaustive, in-depth, 2-minute internet search to determine the length of one. (I lived in Boston for 6 years and it had a profound effect on me. All during the 2 minutes of my research, I kept mumbling "dorla bill" to myself.) Anyway, the length of a US dorla bill is 6.14 inches.
We want to find out HOW MANY dorla bills it would take. We don't know that number yet, but we need to use it in our math, so we have to use something to put in its place until we find out the actual number. Most people would use 'x'. I'm going to use ' M '.
Length of 1 bill . . . . . 6.14 inches
Length of ' M ' bills . . . . . (6.14 M) inches
Circumference of the Earth at the equator . . . . . 40,075 km
inches in 1 foot . . . . . 12
feet in 1 meter . . . . . 3.28084
meters in 1 km . . . . . 1,000
This is all the outside information we need. The rest is all arithmetic.
==========================================
length of 1 bill, in inches . . . . . 6.14 inches
length of ' M ' bills, in inches . . . . . (6.14 M inches)
length of ' M ' bills, in feet . . . . .(6.14 M inches) x (1 foot/12 inches)
length of ' M ' bills, in meters . . . . .
(6.14 M inches) x (1 foot/12 inches) x (1 meter/3.28084 foots)
length of ' M ' bills, in km . . . . . (6.14 M inches) x(1 foot/12 inches) x(1 meter/3.28084 foots) x(1 km/1,000 m)
. . . . . . . . . . ^ these numbers are equal \/ . . . . . . . . . .
Circumference of the equator . . . . . 40,075 km
==============================================
Gather all the numbers together, and all the units together:
(6.14M x 1 x 1 x 1)/(12 x 3.28084 x 1,000) x (inch-foot-meter-km/inch-foot-meter) = 40,075 km
Do the arithmetic, and cancel out units that appear on both top and bottom:
(0.000155956 M) x (km) = 40,075 km
Divide each side by 0.000155956 km, and you'll have:
M = (40,075 / 0.000155956)
M = 256.96 million bills
============================================
Quick check, just to see if it makes sense:
Round each dorla bill to 6 inches even:
(256.96 million x 6 inches) x (1 ft/12 inch) x (1 mile/5280 ft) = 24,333 miles
Well, the same internet says the equator's circumference is 24,901 miles. YAY ! ! ! As an engineer, I'd say the two numbers match perfectly. So the answer to the question is confirmed to be
256.96 million bills
(2.57 x 10⁸ bills)