Answer:
a) The gravitational acceleration at the surface of the Moon is g moon=1.67 m/s
2
The ratio of weights (for a given mass ) is the ratio of g-values, so
W
moon
=(100N)(1.67/9.8)=17N.
(b) For the force on that object caused by Earth's gravity to equal 17 N, then the free fall acceleration at its location must be
ag
=1.67m/s
2
. Thus , .
ag
= r 2
Gm
E
⇒
a
g
Gm
=1.5×10
7
m
So the object would need to be a distance of r/R
E
=2.4 "radii" from Earth's center.
Answer:
Explanation:
The magnitude of the acceleration makes an angle of 30° with the tangential velocity.
Resolving the acceleration to tangential and radial acceleration
at = aCos30 = √3a/2
ar = aSin30 = ½a
a = 2•ar
Then, the tangential acceleration is the linear acceleration, so the relationship between the tangential acceleration and angular acceleration is given as:
at = Rα
Then, α = at/R
since at = √3a/2
Then, α = √3 at/2R, equation 1
The radial acceleration is given as
ar = ω²R
Note that, at² + ar² = a²
at = √(a²-ar²)
Back to equation 1
α = √3 at/2R
α = √3√(a²-ar²)/2R
α = √3√(a²-(w²R)²)/2R
α = √3(a²-w⁴R²) / 2R
Also, a = 2•ar = 2w²R
Then,
α = √3((2w²R)²-w⁴R²) / 2R
α = √3(4w⁴R²-w⁴R²) / 2R
α = √3(3w⁴R²) / 2R
α = √9w⁴R² / 2R
α = 3w²R / 2R
α = 3w²/2
The power developed by the student is 756.9 J/s and remains the same if the student takes the same time to climb the stairs when climbing it in two's and three's.
<h3>What is power?</h3>
Power is the rate at work is done.
- Power = work done/time
- work done = mass × acceleration due to gravity × height
Work done = 65.5 × 10 × (18 × 0.165) = 1945.35 J
Power = 1945.35/2.57 = 756.9 J/s
If the student climbed the steps in two or three at a time, the power does not change if the time remains the same.
- Time required = Energy/ power
The time required to convert the Big Mac meal from McDonalds = 4 853 440/756.9
Time required = 6412.26 seconds
Therefore, from the power developed by the student, it will take him 6412.26 seconds to convert all the energy in a Big Mac meal.
Learn more about power at: brainly.com/question/1634438
#SPJ1
Answer:
42.86m
Explanation:
The first thing we should keep in mind is that the watermelon moves with uniform acceleracion equal to gravity (9.81m / s ^ 2)
A body that moves with constant acceleration means that it moves in "a uniformly accelerated motion", which means that if the velocity is plotted with respect to time we will find a line and its slope will be the value of the acceleration, it determines how much it changes the speed with respect to time.
When performing a mathematical demonstration, it is found that the equations that define this movement are as follows.
where
Vf=29m/s= final speed
Vo= initial speed=0m/S
g=gravity=9.81m/s^2
Y= distance traveled(m)
solving
the distance traveled by watermelon is 42.86m
Answer:
B. They each contain the same amount of matter.
Explanation:
Scientifically, mass is the amount of matter in an object.
A. Whether an object is big or small does not mean that it will be a certain mass. If you have two objects that are the same size, the denser object will have more mass, and the less dense object will have less mass.
C. The amount of space an object takes up is called the volume.
D. Different combinations and amounts of elements can give you the same mass. Rocks, books and cans of soda are made of different things.
