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Serhud [2]
3 years ago
11

A 6.8 kg bowling ball and 7.4 kg bowling ball rest on a rack 0.74 m apart. What is the force of gravity pulling each ball toward

the other?
Physics
1 answer:
zimovet [89]3 years ago
4 0

The gravitational force between the two balls is 6.13\cdot 10^{-9} N

Explanation:

The magnitude of the gravitational force between two objects is given by:

F=G\frac{m_1 m_2}{r^2}

where :

G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2} is the gravitational constant

m1, m2 are the masses of the two objects

r is the separation between the objects

For the balls in this problem,  we have

m_1 = 6.8 kg

m_2 = 7.4 kg

r = 0.74 m

Substituting into the equation, we find the gravitational force between the two balls:

F=(6.67\cdot 10^{-11})\frac{(6.8)(7.4)}{(0.74)^2}=6.13\cdot 10^{-9}N

Learn more about gravitational force:

brainly.com/question/1724648

brainly.com/question/12785992

#LearnwithBrainly

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A 30 kg dog runs at a speed of 15 m/s. What is the dog's kinetic energy (in jewels)? Round the answer to two significant digits.
mel-nik [20]

Answer:

It would be 12.34

Explanation:

6 0
3 years ago
An Atwood machine is constructed using two
Tomtit [17]

Answer:

0.47 m/s²

Explanation:

Assuming the string is inelastic, m₃ will accelerate downward at a rate of -a, and m₄ will accelerate upward at a rate of +a.

Draw a four free body diagrams, one for each hanging mass and one for each wheel.

For m₃, there are two forces: weight force m₃g pulling down, and tension force T₃ pulling up.  Sum of forces in the +y direction:

∑F = ma

T₃ − m₃g = m₃(-a)

For m₄, there are two forces: weight force m₄g pulling down, and tension force T₄ pulling up.  Sum of forces in the +y direction:

∑F = ma

T₄ − m₄g = m₄a

For m₁, there are two forces: tension force T₃ pulling down, and tension force T pulling right.  Sum of the torques in the counterclockwise direction:

∑τ = Iα

T₃r₃ − Tr₃ = (m₁r₃²) (a/r₃)

T₃ − T = m₁a

For m₂, there are two forces: tension force T₄ pulling down, and tension force T pulling left.  Sum of the torques in the counterclockwise direction:

∑τ = Iα

Tr₄ − T₄r₄ = (m₂r₄²) (a/r₄)

T − T₄ = m₂a

We now have 4 equations and 4 unknowns.  Let's add the third and fourth equations to eliminate T:

(T₃ − T) + (T − T₄) = m₁a + m₂a

T₃ − T₄ = (m₁ + m₂) a

Now let's subtract the second equation from the first:

(T₃ − m₃g) − (T₄ − m₄g) = m₃(-a) − m₄a

T₃ − m₃g − T₄ + m₄g = -(m₃ + m₄) a

T₃ − T₄ = (m₃ − m₄) g − (m₃ + m₄) a

Setting these two expressions equal:

(m₁ + m₂) a = (m₃ − m₄) g − (m₃ + m₄) a

(m₁ + m₂ + m₃ + m₄) a = (m₃ − m₄) g

a = (m₃ − m₄) g / (m₁ + m₂ + m₃ + m₄)

Plugging in values:

a = (1.64 kg − 1.27 kg) (9.8 m/s²) / (2.5 kg + 2.3 kg + 1.64 kg + 1.27 kg)

a = 0.47 m/s²

4 0
3 years ago
Which of the following is NOT an example of a girl on a bike who is accelerating?
Serggg [28]

Answer:

the bike would not be moving

Explanation:

7 0
3 years ago
How much energy is contained in matter what the mass of 1 gram (0.001 kilogram)
kaheart [24]

Classically and Newtonianly, it's the sum of the chemical energy if any,
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The mechanical energy, consisting of potential and kinetic energy if any, is

           0.001 x [ (acceleration of gravity x height) +  (1/2) (speed)² ] .

But I've got a sneaky hunch that you're not talking about any of these.
You want to know how much [ <em><u>mc</u>² </em>] there is in 1 gram of mass.  No prob.

           E = m c² = (0.001) x (3 x 10⁸)² = <em>9 x 10¹³ joules</em>

That's the energy that a 1,000-watt toaster uses
in  <em>2,852 years</em>  of continuous toasting.


6 0
3 years ago
Annie has a soccer ball and a kickball. She kicks each ball with the same force. The soccer ball accelerates at 3 m/s2, and the
klasskru [66]

Answer:

a= F/m

Explanation:

Newton's Second Law of Motion : It states that that the rate of change of momentum of a body is proportional to the applied force and it takes place on the direction of the force applied.

Mathematically,

F = m ( v-u)/t

F = ma

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The same force was applied to each of the balls yet, the acceleration of one was greater than the other. The kickball accelerated at a greater pace than the soccer ball because it has a lesser mass hence the effect or impact of the force applied will be greatly felt by the kickball.

7 0
3 years ago
Read 2 more answers
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