A housekeeper is cleaning the kitchen and decides to to use a ladder to reach a top shelf. As he/she is cleaning he/she is start
1 answer:
The amount of gravitational force between both objects will be the same.
The magnitude of the Earth's gravitational force exerted on the housekeeper is calculated by applying Newton's second law of motion;
F = mg
where;
<em>m </em><em>is the mass of the housekeeper</em>
<em>g </em><em>is acceleration due to gravity</em>
According to Newton's third law of motion, action and reaction are equal and opposite.
The force exerted on the housekeeper by the Earth is equal in magnitude to the force exerted on the Earth by the housekeeper.
The two forces are equal in magnitude but opposite in direction.
Thus, the correct option is " the amount of gravitational force between both objects will be the same"
<em>The</em><em> missing part</em><em> of the </em><em>question </em><em>is below:</em>
a. the Earth exerts the largest amount of gravitational force
b. the housekeeper exerts the largest amount of gravitational force
c. the amount of gravitational force between both objects will be the same
Learn more about Newton's third law of motion here: brainly.com/question/15507
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a. The free-body diagram for the glass when it is at the top of the circle is attached below.
b. The equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r is mg x g + N - mg x Vtop² /R =0
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. The speed with which she spin the bucket to prevent this from happening is 3.83 m/s.
d. The string will break if the tension on it is more than 100 N. The range of speeds can prevent the string from breaking is 3.83< Vtop<4.99 m/s
<h3>What is Net force?</h3>When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
Given, Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. She must swing the bucket to keep the glass from falling out.
a. The free body diagram of the bucket and glass is attached below.
b. Bucket will undergo centrifugal force
Fb = mVtop² /R
From the equilibrium of forces, we have
For bucket,
T +mb xg - N = mb x Vtop² /R..............(1)
For glass,
mg x g + N = mg x Vtop² /R..............(2)
Thus, this is the net force equation on the glass.
c. On adding both the equations. we have
T + (mb + mg) xg = (mb + mg) Vtop² /R
Substituting the values, T = 0 and from the question, we get
0 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 3.83 m/s
Thus, the speed of spin to prevent glass from falling out is 3.83 m/s
d. The string will break if the tension on it is more than 100 N
100 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 4.99 m/s
Thus, the range of velocity is 3.83< Vtop<4.99 m/s
Learn more about net force.
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