#1
Which of the following is a scalar quantity?
Mass
ExplanationScalar quantities have magnitude only.
#2
What is the unit of torque?
Newton-meter
ExplanationTorque is measured in Newton-meter (Nm).
#3
What is the condition for a vector to be a unit vector?
Its magnitude is 1.
ExplanationUnit vectors have a magnitude of 1.
#4
Which law of motion states that an object at rest will remain at rest, and an object in motion will remain in motion unless acted upon by a net external force?
First Law
ExplanationNewton's first law of motion, also known as the law of inertia.
#5
Which of the following is a contact force?
Tension in a rope
ExplanationContact forces require physical contact between objects.
#6
What is the work done when a force is applied to an object, but the object does not move?
Zero work
ExplanationWork done is zero if there's no displacement.
#7
What is the resultant of two forces acting at an angle to each other?
Vector sum of the forces
ExplanationResultant force is the vector sum of all forces.
#8
In a tug-of-war, if two teams pull with equal force, what is the net force on the rope?
Zero
ExplanationEqual forces in opposite directions cancel each other out.
#9
What is the condition for an object to be in equilibrium under the action of concurrent forces?
The net force and net torque are both zero.
ExplanationEquilibrium is achieved when there's no resultant force or torque acting on the object.
#10
If two vectors are parallel, what can you say about their cross product?
It is zero.
ExplanationCross product of parallel vectors is zero.
#11
If two forces of 5 N and 12 N act in the same direction, what is the resultant force?
17 N
ExplanationResultant force is the sum of all forces acting in the same direction.
#12
What is the formula for calculating the magnitude of the gravitational force between two masses?
F = G * (m1 * m2)
ExplanationGravitational force between two masses is given by Newton's law of universal gravitation.
#13
What is the angle between two perpendicular vectors?
90 degrees
ExplanationPerpendicular vectors have an angle of 90 degrees.
#14
If a force of 10 N is applied to an object and it accelerates at 2 m/s^2, what is the mass of the object?
5 kg
ExplanationMass is inversely proportional to acceleration when force is constant (Newton's second law).
#15
A force of 15 N is applied at an angle of 30 degrees to the horizontal. What is the horizontal component of the force?
7.5 N
ExplanationHorizontal component = Force * Cosine(angle).
#16
What is the relationship between the magnitudes of vector addition and subtraction for two vectors?
Always equal
ExplanationMagnitude of vector addition or subtraction depends only on the vectors' magnitudes, not their directions.
#17
In a system of forces, what is the equilibrium condition for translational motion?
The net force is zero.
ExplanationFor translational equilibrium, net force on an object must be zero.
#18
A force of 8 N is applied at an angle of 60 degrees to the horizontal. What is the vertical component of the force?
6 N
ExplanationVertical component = Force * Sine(angle).