Two bowling balls each have a mass of 6.9-kg.They are located next to each other with their centers 21.8-cm apart.What gravitational force do they exert on each other

Answers

Answer 1
Answer: We can start with Newton's Law of Universal Gravitation, which is
F_(grav) = (G. m_(1) .m_(2))/d^(2)
Otherwise known as... The force due to gravity between two objects is equal to G ( a universal constant G = 6.673 x 10-11 N m2/kg2) times the mass of the first object (kg) times the mass of the second object (kg) all divided by the distance between the two objects squared.

We can thus plug in the given values to receive the answer...
F_(grav)=(6.673x10^(-11).(6.9)^(2))/(0.218)^2
I converted the 21.8cm into 0.218m, for the equation calls for meters.

I hope this helps!
P.S. I'm currently enrolled in IB Physics, so if you have any more questions, feel free to contact me for help.
Answer 2
Answer:

Final answer:

The gravitational force between two 6.9 kg bowling balls, which are 21.8 cm apart, is approximately 1.99 x 10^-9 Newtons, showing the relative weakness of gravitational forces at an everyday scale.

Explanation:

The gravitational force between two objects can be calculated using Newton's law of universal gravitation. The formula for this force is F = G * (M1 * M2) / R^2, where F is the force, G is the universal gravitational constant (6.67 × 10^-11 Nm^2/kg^2), M1 and M2 are the masses of the two objects, and R is the distance between the objects.

In this scenario, each of the bowling balls has a mass of 6.9 kg and their centers are 21.8 cm (or 0.218 m) apart. Substituting these values into the formula, we get the gravitational force to be approximately 1.99 x 10^-9 Newtons. This value is quite small, which is consistent with our intuition that everyday objects like bowling balls don't seem to attract each other noticeably — this is because the gravitational force is extremely weak in comparison to other forces such as electromagnetic forces.

Learn more about Gravitational Force here:

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An electromagnetic wave is composed of electrical and magnetic energy. true or false

Answers

it is false it is a metle core

Green light has a lower frequency than blue light. Which color of light has a longer wavelength?

Answers

Although green light has a lower frequency than the blue light, but green light has the longer wavelength than the wavelength of blue light. The wavelength of green light is longer by a small margin than the wavelength of the blue light. Red light has the highest wavelength among all the available colors of light. Any color of light is nothing but an electromagnetic wave that enables us to see things around us. Humans mostly can see wavelengths between the Electromagnetic spectrum and the Ultra violet region.


Answer:

purple

Explanation:

An object will remain at rest or maintain constant, straight-line motion unless acted on by a force that is ___________________.A.inertialB.balancedC.unbalancedD.along a straight lineCan someone explain it somehow for me?.

Answers

c) unbalanced . Because if the forces on an object are not balanced, meaning the sum of them is not '0' the object will accelerate to the direction of their sum.

You can see it in the picture. The forces on the object A  are balanced meaning their sum is 0 so it will remain at rest or maintain constant. But object B the forces acting on it are not balanced so it will accelerate to the right.
C.unbalanced
Newton's Law explains that an object continues at constant speed due to the net force acting on the object being zero. When the net force is not zero (unbalanced), then there is a net force and the object will accelerate.

The balls in the image above have different masses and speeds. Fill in the blanks in the following sentence: Ball ___ has the greatest amount of momentum and ball ___ has the least amount of momentum.

Answers

Explanation:

The given figure shows four balls A,B,C and D. Momentum of an object is defined as the product of its mass and velocity.

Momentum of ball A, p₁ = m₁v₁ = 0.7 kg × 15 m/s = 10.5 kg-m/s

Momentum of ball B, p₂ = m₂v₂ = 5.5 kg × 1.2 m/s = 6.6 kg-m/s  

Momentum of ball C, p₃ = m₃v₃ = 5 kg × 2.5 m/s = 12.5 kg-m/s    

Momentum of ball D, p₄ = m₄v₄ = 1.5 kg × 5 m/s = 7.5 kg-m/s

So, ball C has the greatest amount of momentum and ball B has the least amount of momentum.      

Ball C has the greatest momentum and ball B has the least amount of momentum.

A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each side through an angle θ . How should θ be chosen so that the gutter will carry the maximum amount of water?

Answers

Answer:

60

Explanation:

The volume of the water carried will be proportional to the cross-sectional area. The cross-section is a trapezoid with height 10sint, where t represents theta. The top of the trapezoid is 10+(2)(10cost), i.e. 10 + 20cost. The base of the trapezoid is 10.

Area of trapezoid = (average of bases) times (height)

= ([10 + (10 +20cost)] / 2 ) 10 sint

= (10 + 10cost)(10sint)

= 100sint + 100sintcost, call this A(t). You need to maximize. So differentiate and set equal to zero.

dA/dt = -100sin(t)^2+100cos(t)+100cos(t)^2 = 0, divide by 100:

-sin(t)^2 + cos(t) + cos(t)^2 = 0, replace sin^2 by 1-cos^2

2cos(t)^2 + cos(t) - 1 = 0, factor

(1+cos(t))(2cos(t)-1)=0, so  

cos(t)=1, t=0 that give a min (zero area) not a max, or

cos(t) = 1/2, so t=60 degrees. This gives the max.

An advertisement claims that a certain 1200kg can accelerate from rest to a speed of 25 m/s in a time of 8s. What average power must the motor develop to produce this acceleration if the car is going up a 20 degree incline? Give your answer in Watts. Ignore friction.

Answers

Answer: 3MW

Explanation:

W = 1/2 mv^2

W = 0.5 x 1200 x 25^2 = 375 kW

T = 8s

P= 335 x 10^3 x 8 = 3,000 kW = 3MW