Confused :(
Homework Statement
A 200 kg object and a 500 kg object are separated by 0.500 m. Find the net gravitational force exerted by these objects on a 50.0 kg object placed midway between them.
Questions;
1. Calculate the gravitational force between two 50 kg objects if they are 7.5 x 10^-1 m apart?
2. the gravitational force between two objects are 2.1 x 10^-1 m apart is 3.2 x 10^-6 N. if the mass of one object is 55 kg, what is the mass of the other object?
3. Two students...
Suppose two terrestrial objects B1 and B2 have concentrated a high quantity of mass while being reasonably separated by a distance. When a high speed rocket ship flies by in direction more less parallel to the line connecting these two objects, relativity must predict a drastic disturbance in...
Hello,
I wonder that the gauss' theorem for gravitational force area.
\int\int_S \vec{g}\hat{n}dS=-4\pi GM=\int\int\int_V \vec{\nabla}\stackrel{\rightarrow}{g}dV
\vec{g}=-G\frac{M}{r^2}\hat{r}\Rightarrow\hat{r}=\frac{\vec{r}}{r}\Rightarrow\vec{g}=-G\frac{M}{r^3}\vec{r}
for...
Homework Statement
A mass weighs 20 N at the surface of a planet of 3000 km radius. What is the mass's weight when it is in orbit 3000 km above the surface of the planet?
Homework Equations
F = (Gm1m2)/r2 (well... not really)
Ug = mgy
The Attempt at a Solution
I don't even know...
I may be having a misconecption, please guide me.
The force of gravitation between two masses is inverse square law force as depicted by the formula F=G*m1*m2/r'2. Doesn't it mean that this force is one quarter of the origional when the distance between the masses is doubled. Now if a body of...
How do we know that the force of gravitation continues indefinitely with respect to distance? Is there any evidence to support it? Could it be possible that it works on a large scale, but drops to zero at a certain distance much like other forces eg. strong nuclear?
The masses and coordinates of three spheres are as follows: 16 kg, x = 0.75 m, y = 3.00 m; 34 kg, x = -2.50 m, y = -2.75 m; 60 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a 30 kg sphere located at the origin due to the other spheres?
Homework Equations
i...
The masses and coordinates of three particles are as follows: 20.0 kg, (0.50, 1.00) m; 309.0 kg, (-1.00, -1.00) m; 18.0 kg, (0.00, -0.50) m. What is the gravitational force on a 20.0 kg sphere located at the origin due to the other spheres, magnitude and direction? Give the direction as an angle...
Homework Statement
Synchronous communications satellites are placed in a circular orbit that is 3.59 X 10^7m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance?
Homework Equations
F=G M1M2 / R^2/ mp
g= GMe / r^2
r= Re + H
w=mg...
This may seem like a really stupid question but i forgot how to find Gravitational force like in a roller coaster problem. I know how to find centripetal acceleration and centripetal force if that even matters but i could use some help please.
Homework Statement
In the figure below, a uniform beam of length 12.0 m is supported by a horizontal cable and a hinge at angle θ = 70°. The tension in the cable is 500 N.
(a) What is the gravitational force on the beam, in unit-vector notation?
(b) What is the force on the beam from the...
Homework Statement
Compare the gravitational force on a 9 kg
mass at the surface of the Earth (with radius 6.4 × 10^6 m and mass 6 × 10^24 kg) with
that on the surface of the Moon (with mass 1 /81.3 ME and radius 0.27 RE ). What is the force on the Earth?
Answer in units of N...
Homework Statement
What would happen if the size of the electrostatic force acting between two positively charged objects was exactly the same as that of the gravitational force acting between them? What would happen if they were moved closer together or further apart?
Homework Statement
Two 75kg masses are separated by a distance of 1 meter. a 5kg object is placed .25 meters from one of the masses, .75 meters from the other along the line joining the masses. What is the gravitational force on the object?
Homework Equations
F=G(m1)(m2)/r^2
The...
is it true that if Earth's density wasn't uniform then the gravitational force was half of what it is now? can you give me a mathematical calculation of why that would reduce to half of its current value.thanks:smile:
Hi everybody, I am trying to find an analytical solution of the equation of a falling particle of mass M in a gravitational field (described by constant K) when the gravity depends on distance, as in Newton classical theory(I simplified in one dimension). The equation could be M*d2 X(t)/ dt2 =...
Hi,
In gravitational force law F=-G\frac{M_{1}M_{2}}{x^{2}}if i want to find the distance function which depends on time then
\frac{d^{2}x}{dt^{2}}=-G\frac{M}{x^2}
\frac{dv}{dt}=\frac{dv}{dx}\frac{dx}{dt}=v\frac{dv}{dx}=-G\frac{M}{x^2}
vdv=-G\frac{M}{x^2}dx
integrate the both...
Homework Statement
Calculate the magnitude of the gravitational force between the Earth and a 2.600-kg mass on the surface of the earth. The distance to the center of the Earth from the surface is 6370 km and the mass of the Earth is 5.98e+24 kg. HINT: This problem should take you about 5...
Homework Statement
The milky way galaxy ( which includes the Sun) rotates about its center with a period of 200 million years. The Sun is 2X10^20m from the center of the galaxy.
What is the net gravitational force on the sun due to the other stars in the milky way galaxy?
Homework Equations...
1.Calculate the magnitude of the graviational force exerted on 442kg satellite that is a distance of 1.87 times Earth radii from the center of the earth
Mass=442kg
For this I used the Newton's law of universal graviation formula: F=(g*m1*m2)/r^2
((6.67*10^-11)(442)(5.98*10^24))/(Radius of...
A Space traveler weighs 695N on Earth. What will the traveler weigh on another planet whose radius is 3 times that of Earth and whose mass is 2 times that of earth?
So for this problem I got the mass and radius of the earth
Mass of earth= (5.98 *10^24)
Radius of Eath- (6.38 *10^6)
Since it...
A planet has an euqatorial radius of 7.58 * 10^7 m and mass of 6.15 * 10^26 kg. Compute the acceleration of gravity at the equator of this planet.
I used the formula f=G (m1*m2)/(r^2)
i plugged it into the formula
f= (6.674 *10^-11) (6.15 *10^26)/((7.58 * 10^7)^2)= 7.1437N
accerleration=...
Homework Statement
Part 1)
The centers of a 21.2 kg lead ball and a 442 g lead ball are separated by 10.38 cm. What gravitational force does each exert on the other?
Part 2)
What is the ratio of this gravitational force to the weight of the 442 g ball?
The Attempt at a Solution
I...
Homework Statement
3 uniform spheres are located at the corners of an equilateral triangle. each side of the triangle has a length of 1.2 m. two of the spheres have a mass of 2.8 kg. the 3rd sphere (mass unknown) is released from rest. Considering only the gravitation forces the spheres...
Hello dear scientists,
I was wondering if it's possible to create a room with a stronger gravitational force, whether on this planet or not, as opposed to an anti-gravity room. This is where athletes such as fighters could train for substantial results. Any ideas on how this could be possible...
Homework Statement
A.) What is the acceleration due to gravity at an altitude of 1500 km above the Earth's surface. Neglect the effect of the Earth's rotation. The Earth's radius is 6378100 m and its mass is 5.98 * 10^{24}kg.
B.) The moon has a mass of 7.35 * 10^{22} kg and is located...
Consider two particles 1 and 2 that can interact with each other but are isolated from their surroundings. If an internal force from particle 1, for example, a gravitational force, acts on particle 2, then there must be a second internal force—equal in magnitude but opposite in...
Show that an object which is stationary with respect to the surface of the Earth is experiencing a gravitational force Ft=(-gmR/r)-[m(w*(w*R))] where R is a vector pointing from the centre of Earth to a position on the surface of the Earth, r is the radius of Earth and w is the angular velocity...
Homework Statement
Two thin hollow plastic spheres, about the size of a ping-pong ball with masses (m1=m2 = 2e-3 kg) have been rubbed with wool. Sphere 1 has a charge q1 = -4e-9 C and is at location < 40e-2, -20e-2, 0 > m. Sphere 2 has a charge q2 = -6e-9 C and is at location < -50e-2, 40e-2...
Hi,
it is well know that the force on a mass point outside to an homogeneous sphere is as the whole sphere's mass is concentred on its centre.
It seems that the reaction of this force (the total force of the point on the shepre) is applied on the centre of the sphere but, is it true?
If this...
Ok here is what I am wondering, gee I wish I had more than one year of pre-professional physics.
I was considering the phenomenon of planetary alignment that will occur on or about 12/21/2012. As I understand it, all the planets in our solar system will become aligned in an almost straight...
The Einstein field equation for gravity uses the stress-energy tensor, rather than just mass, to determine the gravitational force acting between two bodies. When spacetime curvature is small and relative velocities are much less than the speed of light, this force is well-approximated by...
[b]1. What is the gravitational force exerted by the Earth on the same 1.7 kg rock resting on the surface of the Moon?
[b]2. Homework Equations
F= GMeM2/r^2
G = 6.67*10^-11 Nm^2/kg^2
Me = 5.98*10^24 kg
re= 6400 km
[b]3. Attempt at a solution:
6.67 *10^-11 Nm^2/kg^2 * 5.98...
Homework Statement
When the distance separating two masses, M and m, is 1.2 x 10^10 m, the gravitational force of attraction is 5.0 N. If the mass of M becomes 3M and the separation distance becomes
2.4 x 1010 m, what will be the force?
Homework Equations
Fg=MaMb/r^2
The...
Homework Statement
three planets, X,Y and Z, are situated in 3 different places.
distance between X and Y = 60 x 106 km
distance between Y and Z = 50 x 106 km
mass of X = 3.0 x 1024 kg
mass of Y = 4.0 x 1024 kg
mass of Z = 5.0 x 1024 kg
find the net gravitational force on...
Yes, gravity is WAYYYYYYYYYY weaker than the electromagnetic force in the quantum world, BUT when we talk about the big picture, the universe is held together by gravity. So... in that transition from the micro to the macro, can anybody tell me at what scale, roughly, the gravitational force...
Hi,everyone!
i have a few queries about various concepts of physics.
4 d beginning,gravitational force is an attractive force.It increases as the distance decreases.
Then,why don't the planets collapse with each other??
What will be the Gravitaional force between two bodies when the distance between them is zero
e.g., If we place a ring around a sphere, the center of gravity of the two bodies coincide and thus the distance of separation is zero.
F = G m1m2\d2
d = 0 ,F = Infinity
OK, so the force between me and Earth is G*m1*m2/r^2, and I have the same pull on Earth as Earth has on me. I see it in the math, BUT, it doesn't make sense to me outside of the math. Earth's gravity pulls me down to the surface...certainly I don't pull up on Earth with the same force? Why is...
Homework Statement
Two asteroids are deep in space, far from any external influences. They each have a mass of 1010kg and are separated by distance L (center to center). They travel in a circular orbit around the center of mass of the system (radius of either orbit: R= 0.5L), under the...
Homework Statement
A satellite that has a mass of 300 kg moves in a circular orbit 5.00 X 107 m above Earth's surface. (a) What is the gravitational force on the satellite? (b) What is the speed of the satellite? (c) What is the period of the satellite?
Homework Equations
Fg=...
Hi Guys... This topic was discussed in the class. Professor gave out the hand out. I tried to pay attention but couldn't follow it.
Can someone explain this to me in simple English? I'm having hard time understanding this.
I'm attaching a handout that I scanned...
1. Homework Statement [/b]
At a distance H abouve the suface of a planet, the true weight of a remote probe is one percent less than its true wieght on the surface. The radius of the planet is R. Find the ration H/R.
2. Homework Equations [/b]
W=mg=G*(M(of planet)/r(squared))*M(of probe)...
Hi guys, I got a question that has been in my head for a while.
Is the Newtonian gravitational force equivalent to the "tension" in the space time fabric caused by the depression of 2 masses? If it is equivalent, does it means that gravitational force does not act in a straight line but it...
Homework Statement
You place a box weighing 265.5N on an inclined plane that makes a 43.2 degree angle with the horizontal. Compute the component of the gravitaltional force acting down on the inclined plane.
Homework Equations
m x g x cos(degree)
The Attempt at a Solution
265.5...
Hi, I am just wandering based on the formula..
F = GMm/r^2
Is the gravitational force exerted by the Earth on the moon is the same as the gravitational force exerted by the moon on Earth ?
It should be the same right?
Both lies on a same radius..
Can someone clarify this...
How high above the surface of the Earth should a rocket be
in order to have 1/100 of its normal weight? Express your answer
in units of Earth radii.
Im not sure were to start with this one. I know that the moon is 60 times as far away as the core of Earth to the surface.