Answer:
The value is [tex]x = 45.99 \ Au[/tex]
Explanation:
From the question we are told that
The period of the asteroid is [tex]T = 176 \ years = 176 * 365 * 24 * 60* 60 = 5.55*10^{9}\ s[/tex]
Generally the average distance of the asteroid from the sun is mathematically represented as
[tex]R = \sqrt[3]{ \frac{G M * T^2 }{4 \pi} }[/tex]
Here M is the mass of the sun with a value
[tex]M = 1.99*10^{30} \ kg[/tex]
G is the gravitational constant with value [tex]G = 6.67 *10^{-11} \ m^3 \cdot kg^{-1} \cdot s^{-2}[/tex]
[tex]R = \sqrt[3]{ \frac{6.67 *10^{-11} * 1.99*10^{30} * [5.55 *10^{9}]^2 }{4 * 3.142 } }[/tex]
=> [tex]R = 6.88 *10^{12} \ m[/tex]
Generally
[tex]1.496* 10^{11} \ m \to 1 Au (Astronomical \ unit )[/tex]
So
[tex]R = 6.88 *10^{12} \ m \ \ \ \ \to \ \ x \ Au[/tex]
=> [tex]x = \frac{6.88 *10^{12}}{1.496 *10^{11}}[/tex]
=> [tex]x = 45.99 \ Au[/tex]
A student wearing a frictionless roller skates on a horizontal is pushed by a friend with a constant force of 55N. How far must the student be pushed, starting from rest, so that her final kinetic energy is 362 J
Answer:
6.58m
Explanation:
The kinetic energy = Workdone on the roller
Workdone = Force * distance
Given
KE = Workdone = 362J
Force = 55N
Required
Distance
Substitute into the formula;
Workdone = Force * distance
362 = 55d
d = 362/55
d = 6.58m
Hence the student must push at a distance of 6.58m
How much force is needed to accelerate a 9,760 kg airplane at a rate of 4.4 m/s2?
Answer:
42,944
Explanation: 9,760 kg * 4.4 m/s2 = 42,944
What has more energy a 2 kg mass at 10 m/s or a 2 kg mass 5 m above the ground
Answer:
Both have same energy
Explanation:
Given:
Sample 1
Mass m = 2 kg
Velocity v = 10 m/s
Sample 2
Mass m = 2 kg
Height h = 5 m
Assume g = 10 m/s²
Find:
What has more energy
Computation:
In sample 1
Ke = 1/2(m)(v)²
Ke = 1/2(2)(10)²
Ke = 100 joule
In sample 2
Pe = mgh
Pe = (2)(10)(5)
Pe = 100 joules
Both have same energy
why we can not measure the total amount of heat energy that a body contains
Answer:
... As has been previously discussed, heat is not something that is contained in an object.
Explanation:
3. A dog walks a distance of 100 ft. in 20 s of time. What is the dog's
speed in feet per second?
O C 120 ft/s
O B80 ft/s
O D 2000 ft/s
O A 5 ft/s
SOMEONE PLEASE HELP
Body composition analysis can accurately show changes in
O Fat mass
O Muscle mass
O Body fat %
O All of the above
Answer: all of the above
Explanation: Give brainliest please (first)
HELP ASAP!!! How many electrons fit into each electron shell?
K
L
M
N
Answer:
k = 2
L = 8
M = 18
N = 32
plz mark me as a brainelist
Plz di all plz i will give brainest and thanks to best answer do it right
Which of these is an example of electrical energy being converted to mechanical energy?
Group of answer choices
Sunlight used by plants in photosynthesis
Ceiling fan
Lightning striking the ground
Answer:
Ceiling fan
Explanation:
A ceiling fan is an example of electrical energy being converted to mechanical energy.
The blades of the fan are driven by motor within the system.
Energy in a system is converted from one form to the other. Energy is neither created nor destroyed as we know from the law of conservation of energy. In this regard, the electrical energy from the outlet powers the motor. As the motor inside the fan spins, the blade in turn begins to rotate. The motion of the blade is the expression of mechanical energy.An 80.0 kg fisherman jumps into a 37.5kg boat that is at rest. If the velocity of the fisherman is 5.60m/s when he jumps from the dock, what will be the velocity of the boat and fisherman after he lands in the boat?
Answer:
The velocity of the boat and fisherman after he lands in the boat is 3.812m/s
Explanation:
We will solve this question on the general Derivation for general case of a man jumping n the boat
m = Mass of the man = 80kg
M= mass of the boat 37.5kg
V(m, g) = Velocity of man with respect to ground = 5.6m/s
V(b , g) = Velocity of boat with respect to ground = Vo = 0m/s ( rest)
velocity of the boat and fisherman after he lands in the boat = V1
As there is no external force acting on the man then we can apply conservation of the Linear Momentum.
m*V(m, g) + M*Vo = (M+m)V1
[tex]V1 = \frac{ m*V(m, g) + M*Vo}{M+m}[/tex]
On substituting the values we get
V1 = [tex]\frac{80*5.6 + 37.5*0}{80+ 37.5}[/tex]
V1 = [tex]\frac{448}{117.5}[/tex] = 3.812 m/s
Therefore the velocity of the boat and fisherman after he lands in the boat is 3.812m/s.
A person on a merry-go-round makes a complete revolution in about 3.17 s.
The radius of the ride is about 3.1 m, and the rider has a mass of 50 kg. What is the centripetal force on the rider?
1. 12.18 N
2. 245.0 N
3. 490.0 N
4. 608.9 N
Answer:
second one
Explanation:
HOPE THIS helps
If a person (weighs 70kg) jumped of a moving car (at 100km/h) and fell on asphalt what is the amount of force applyied to his body that touches the ground first? What are the chancese of dying if the only impact to the body is from the ground?
Answer:
The amount of force applied to his body is 1944.44 N
The chances of the person dying is very high owing to the high impact force with which the person would experience when he or she lands on the asphalt road due to the jump out of the moving car.
Explanation:
We all know that,
F = Ma where,
F = Force
M = weight of the person
a = acceleration or velocity of the moving car
Therefore;
F = { 70 x (100 x 1000) } / [3600]
= [7 000 000] / 3600
= 1944.44 N
The snow fell on me is my excuse so my mom won’t know that I’m getting bullied
Answer:
Aaaaw noooo. :(
Explanation:
what did they say to u and what state do u live in. I will help u stand up to them. I have taken down many bullies before by using words. in fourth grade, my friend was getting bullied by the class, then yelled and stood up for her. they all fell silent and never bullied her, or any of my friends again. For whatever reason they bully u is probably d.u.m.b. which means they r really d.u.m.b. Also, U should try finding out a lot of personal info about them that they dont want anyone to know. also tell the principal. Is ur mom nice, or mean? if shes nice, she'll support u and fight for u, which means u should address
Answer:
You should stick up for yourself because if you don't then no one else will but im always here to talk to you if you need someone
Explanation:
Point-source pollution enters water
A. from many different sites
B. from a specific location
C. slowly seeping through soil along pipelines
D. from unknown sources
You have a 100 N object with a normal force of 100 N. You apply a 50 N push to the right, but a friend is hiding on the other side of the object and is also pushing with a force of 60 N. What is the net force on the object?
Answer:
100.49N
Explanation:
First we must know that the normal force acts in the vertical direction;
The force required to push to the right and left acts in the horizontal direction;
Sum of force along the horizontal Fx = 50N - 60 N = -10N
Force along the vertical Fy = 100N
The net force on the object is calculated as;
F = √(Fx)² + (Fy)²
F = √(-10)² + (100)²
F = √100 + 10000
F = √10,100
F = 100.49N
Hence the net force on the object is 100.49N
Which type of friction opposes motion?
Answer:
Friction does not oppose motion, it oppose relative motion.
Explanation:
static friction opposes relative motion
Answer:
there are three types or friction
1) Static friction
2) Rolling Friction
3) Sliding friction
Static friction comes to end when the object starts moving(or starts motion ) so Sliding Friction and Rolling Friction opposes motion l.
A ray of light travelling obliquely from a rarer medium to a denser medium goes _______
Explanation:
towards the normal
MARK ME BRAINLIST
A component that is used to break a circuit is
(1 Point)
Wire
Switch
Bulb
Electric cell
An object is moving east, and its velocity changes from 66 mvs to 26 mvs in 10 seconds. Which describes the
acceleration?
negative acceleration of 4 mvs
positive acceleration of 4 ms
positive acceleration of 9 m/a
negatlveo acceleration of 9 m/s
Answer:
negative acceleration of 4m/s²
Explanation:
Given parameters:
Initial velocity = 66m/s
Final velocity = 26m/s
Time taken = 10s
Unknown:
Description of the acceleration = ?
Solution:
Acceleration is the rate of change of velocity with time.
It is mathematically expressed as;
acceleration = [tex]\frac{v - u}{t}[/tex]
v is the final velocity
u is the initial velocity
t is the time taken
Now insert the parameters and solve;
Acceleration = [tex]\frac{26 - 66}{10}[/tex] = -4m/s²
So, we see a negative acceleration of 4m/s²
If you have a piece of brass and a piece of aluminurn that have the same volume, which will have a larger mass?
Answer:
the aluminum would have the most mass
9. An object moving at a constant velocity accelerates at a constant rate of 20 m/s for a distance of
100 m. At the end of the acceleration the object has a velocity of 80 m/s. What was its velocity
before accelerating?
Answer:
I believe the answer is roughly 49m/s
Explanation:
List all given variables:
Accel=20m/s^2
Dist=100m
Final velocity=80m/s
Initial velocity=?
Using the equation i=sqrt(f^2-2a*d) where i =initial velocity, f=final velocity, a=acceleration, and d=distance, we can plug in the known values and solve for initial velocity
i=sqrt(80^2-2*20*100)
i=sqrt(6400-4000)
i=sqrt(2400)
i=48.99, rounded up to 49m/s as the initial velocity
This is my speculation about this answer would appreciate if anyone can confirm this.
A student moves a box across the floor by exerting 56.7 N of force and doing 195 J of
work on the box. How far does the student move the box?
A.3.4 m
B. 11,056 m
C.138 m
D.0.29 m
Answer:
A. 3.4 m
Explanation:
Given the following data;
Force = 56.7N
Workdone = 195J
To find the distance
Workdone is given by the formula;
[tex] Workdone = force * distance[/tex]
Making "distance" the subject of formula, we have;
[tex] Distance = \frac {workdone}{force} [/tex]
Substituting into the equation, we have;
[tex] Distance = \frac {195}{56.7} [/tex]
Distance = 3.4 meters.
A double inclined plane that moves is a(n) .
Answer:
a wedge.
Explanation:
it moves when you apply force to one end of the wedge.
which two things does force depend on?
Answer:
Mass and Gravity
Explanation:
Objects with mass exert forces on each other via the force of gravity. This force is proportional to the mass of the two interacting objects and is inversely proportional to the square of the distance between them.
A roller coaster travels down a 120 m track in 12.5 seconds how fast does the roller coaster go
Answer:
9.6m/s
Explanation:
Using the equation S=d/t where s=speed, d=distance, and t=time
plug in the known variables
S=120m/12.5s
S=9.6m/s
plzzzz help it for civics
Answer:
A : the colonists dumped tea in Boston Harbor
What is the difference between the geographic North Pole and the magnetic north pole?
Answer:
Magnetic north is the direction towards the north magnetic pole, which is a wandering point where the Earth's magnetic field goes vertically down into the planet
Explanation:
I searched it up lol
Guys i need help please
Answer:
I'm pretty sure the answer is around 9.2 seconds
Explanation:
Formulas
Speed = distance / time
Time = distance / speed
Distance = speed x time
A bowling ball rolls 30 meters in 4 seconds. What speed did it travel?
distance = 30m
time = 45
speed = ?
Using s= d/t
7.5 m per second
if a runner travels 1600m in 420 seconds, her average speed is
Answer:
the answer is 3.8m/s in meters per second