Two objects attract each other gravitationally with a force of 3.0×10−10N when they are 0.45m apart. Their total mass is 4.0kg . find the individual masses

Answers

Answer 1
Answer: If everything is in meters and kilograms, then the gravitational force
between 2 masses is

F = G M₁ M₂ / R²

G = 6.67 x 10⁻¹¹
M₁ and M₂ =  the masses of the two masses
R = the distance between their centers.

When we plug in 3 x 10⁻¹⁰ for the force, and 0.45 for the distance,
we get the product of the 2 objects  M₁M₂ = about 0.911 , and
that's as far as we can go without some more information.

The question says that the two masses add up to 4.0 kg.
So now we know that M₁M₂ = about 0.911 and (M₁ + M₂) = 4.0 kg.
With this, we immediately step into a big squishy quadratic equation,
whose solutions are:

one mass = 3.758 kg
the other mass = 0.242 kg .

Related Questions

A boat sails along the shore. To an observer, the boat appears to move at a speed of 11 m/s, and a man on the boat walking forward appears to have a speed of 12.4 m/s. How long does it take the man to move 6 m relative to the boat?
A 9.0 volt battery is connected to four resistors in a parallel circuit. The resistors have 7.0 Ω, 5.0 Ω, 4.0 Ω, and 2.0 Ω respectively. What is the total current in the circuit?
What is the velocity of a plane that traveled 3,000 miles from New York to California in 4.5 hours
What force is required to accelerate a body with a mass of 15 kilograms at a rate of 8 m/s²?a. 23 N b. 1.875 kg c. 23 kg d. 120 N
Juan measured the temperature of salt water. He then added 273 to the measured value. Which conversion is Juan most likely doing? degrees Celsius to degrees Fahrenheit degrees Celsius to kelvins kelvins to degrees Celsius degrees Fahrenheit to degrees Celsius

Which extremely flammable gas is most commonly burned for fuel in a home? A) Hydrogen B) Methane C) Propane D) Butane

Answers

Answer:

B ) Methane

Explanation:

Methane is known as a natural gas and is the most commonly used sources of fuel amongst businesses and homes to power water heaters and stoves.

The wavelength of a given region of the electromagnetic spectrum ranges from 1 x 10-11 - 1 x 10-8 meters. Which waves are found in this region?A) gamma rays

B) x-rays

C) micro waves

D) radio waves

Answers

Answer: X-rays

The range of X-rays goes from 1x10^-8 to 1x10^-11.

Could someone please explain to me Archimede's principle without using the term displace (or at least explaining what it means)?

Answers

Does this help?

When an object is immersed in a fluid (in this case water, but may include both liquids and gases) the fluid exerts an upward force on the object which is called buoyancy force or up-thrust.  Archimedes’ Principle states that the buoyant force (upward push or force) applied to an object is equal to the weight of the fluid that the object takes the space of by that object.  Thus when an object is placed in water the rise in the water level is dictated by the mass of that object.


So for example if you fill a bucket with water and you drop a stone in that bucket, if you measure the weight of the water that overflows from the bucket due to the stone being dropped into the bucket is equivalent to the pushing force that the water has on the stone (as the stone drops to the bottom of the bucket the water is pushing it to stay afloat but the rock is more dense than water and as such its downthrust exceeds water's upthrust).


How do you find an object's mass on an acceleration vs. force graph?

Answers

Newton's 2nd law of motion is:  Force= (mass) x (acceleration).

Divide each side by 'acceleration' and you have:  Mass = (force) / (acceleration).

-- At any point on the graph, read off the force and the acceleration.
-- Divide the force by the acceleration.
-- The quotient is the mass.

It should be constant, unless the moving object is something like a rocket,
which is constantly burning fuel and reducing its mass.

Rate at which electric energy is converteto another form (2 words)

Answers

electric power!!!!!!!

What's the first thing you should do after retrieving a boat onto a trailer?

Answers

The first thing you should do after retrieving a boat onto a trailer is to secure the boat to the trailer. This is important to ensure the boat remains stable and safe during transportation.

Here are the steps to secure the boat to the trailer:

1. Position the boat properly: Align the boat on the trailer so that it is centered and evenly distributed. Make sure the boat is positioned in such a way that the weight is balanced and evenly distributed across the trailer.

2. Attach the bow strap: The bow strap is a strong, adjustable strap that is used to secure the front (bow) of the boat to the trailer. Connect one end of the bow strap to the trailer and the other end to a secure point on the boat's bow. Make sure the strap is tight and secure, but not overly tightened to the point of damaging the boat.

3. Connect the stern tie-downs: Stern tie-downs are straps or ropes used to secure the rear (stern) of the boat to the trailer. Attach one end of each stern tie-down to the trailer and the other end to a secure point on the boat's stern. Make sure the stern tie-downs are tight and secure, but again, avoid over-tightening.

4. Check the connections: After attaching the bow strap and stern tie-downs, double-check all the connections to ensure they are properly secured. Give each strap a gentle tug to make sure it is tight and won't come loose during transport.

5. Secure loose items: Before hitting the road, secure any loose items in the boat, such as life jackets, paddles, or fishing gear. These items should be properly stowed and secured to prevent them from shifting or falling out during transportation.

Know more about trailer:

brainly.com/question/29582358

#SPJ2

Answer:

Set the parking brake of the towing vehicle, and put it in park (or first gear if you have a manual transmission).

Move the vessel onto the trailer far enough to attach the winch line to the bow eye of the vessel. ...

Shut off the engine, and raise the engine or outdrive.

Pull the vessel out of the water.

Explanation: