Q. In rotational dynamics, what is the moment of inertia?
A.
The rotational analog of mass.
B.
The torque applied to an object.
C.
The angular velocity of an object.
D.
The linear momentum of an object.
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Solution
The moment of inertia is the rotational analog of mass, representing how difficult it is to change the rotational motion of an object.
Correct Answer:
A
— The rotational analog of mass.
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Q. What is the effect of increasing the distance between two masses on the gravitational force?
A.
The gravitational force increases.
B.
The gravitational force decreases.
C.
The gravitational force remains the same.
D.
The gravitational force becomes zero.
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Solution
According to the inverse square law, increasing the distance between two masses decreases the gravitational force between them.
Correct Answer:
B
— The gravitational force decreases.
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Q. What is the formula for calculating the gravitational force between two masses?
A.
F = ma
B.
F = G(m1*m2)/r^2
C.
F = mv^2/r
D.
F = qE
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Solution
The gravitational force between two masses is given by Newton's law of universal gravitation: F = G(m1*m2)/r^2, where G is the gravitational constant.
Correct Answer:
B
— F = G(m1*m2)/r^2
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Q. What is the formula for centripetal force?
A.
F = mv^2/r
B.
F = ma
C.
F = G(m1*m2)/r^2
D.
F = qE
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Solution
The formula for centripetal force is F = mv^2/r, where m is mass, v is velocity, and r is the radius of the circular path.
Correct Answer:
A
— F = mv^2/r
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Q. What is the gravitational potential energy of an object at height h?
A.
PE = mgh
B.
PE = 1/2 mv^2
C.
PE = Fd
D.
PE = mv
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Solution
The gravitational potential energy of an object at height h is given by PE = mgh, where m is mass, g is the acceleration due to gravity, and h is height.
Correct Answer:
A
— PE = mgh
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Q. What is the relationship between force, mass, and acceleration?
A.
F = ma
B.
F = m/a
C.
F = a/m
D.
F = m + a
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Solution
The relationship between force, mass, and acceleration is given by Newton's second law: F = ma.
Correct Answer:
A
— F = ma
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Q. What is the relationship between torque and angular acceleration?
A.
Torque = I * α
B.
Torque = F * r
C.
Torque = m * a
D.
Torque = p * v
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Solution
The relationship between torque (τ) and angular acceleration (α) is given by τ = I * α, where I is the moment of inertia.
Correct Answer:
A
— Torque = I * α
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Q. Which of the following statements is true according to Newton's first law of motion?
A.
An object in motion will stay in motion unless acted upon by a net external force.
B.
Force equals mass times acceleration.
C.
For every action, there is an equal and opposite reaction.
D.
Energy cannot be created or destroyed.
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Solution
Newton's first law states that an object will remain at rest or in uniform motion unless acted upon by a net external force.
Correct Answer:
A
— An object in motion will stay in motion unless acted upon by a net external force.
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