Answer: 3 seconds
Explanation: since 3 is 4 away from 7, 3 times 1.5 is 4.5 which is the closest you can get to 7 without being below 7
Answer:
360N
Explanation:
The frictional force = centripetal force = mass * centripetal acceleration = ma
Since centripetal acceleration = V^2/ r
Frictional force = mv^2 / r
Substitute the values of m = 80kg, radius = 2m and tangential speed = 3m/s
Frictional force = 80 * (3)^2/ 2 = 360N
Answer:
<em>1.49 x </em>
<em></em>
<em></em>
Explanation:
Kepler's third law states that <em>The square of the orbital period of a planet is directly proportional to the cube of its orbit.</em>
Mathematically, this can be stated as
∝ 
<em>to remove the proportionality sign we introduce a constant</em>
= k
k = 
Where T is the orbital period,
and R is the orbit around the sun.
For mars,
T = 687 days
R = 2.279 x 
for mars, constant k will be
k =
= 3.987 x 
For Earth, orbital period T is 365 days, therefore
= 3.987 x
x 
= 3.34 x 
R =<em> 1.49 x </em>
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<u>Answer</u>
Part 1) Increase
Part 2) expand
Part 3) rise
<u>Explanation</u>
When the air is heated the molecules gain kinetic energy and starts to collide with walls of the ballon making it to increase it size.
Thus the volume of the balloon expands. When this happens the balloon and its content becomes less dense and it rises.
<span>5.98 x 10^-2 ohms.
Resistance is defined as:
R = rl/A
where
R = resistance in ohms
r = resistivity (given as 1.59x10^-8)
l = length of wire.
A = Cross sectional area of wire.
So plugging into the formula, the known values, including the area of a circle being pi*r^2, gives:
R = 1.59x10^-8 * 3.00 / (pi * (5.04 x 10^-4)^2)
R = (4.77 x 10^-8) / (pi * 2.54016 x 10 ^-7)
R = (4.77 x 10^-8) / (7.98015 x 10^-7)
R = 5.98 x 10^-2 ohms
So that wire has a resistance of 5.98 x 10^-2 ohms.</span>