Vector Forces and Interactions Quiz

Explore vector forces with these challenging questions. Assess your knowledge on scalar quantities, equilibrium, torque, and more in mechanics.

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Which of the following is a scalar quantity?

Force

Velocity

Mass

Acceleration

What is the unit of torque?

Newton

Joule

Watt

Newton-meter

What is the condition for a vector to be a unit vector?

Its magnitude is 1.

Its magnitude is 0.

Its components are integers.

Its components are all positive.

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

Second Law

Third Law

Law of Universal Gravitation

Which of the following is a contact force?

Gravitational force

Tension in a rope

Electrostatic force

Magnetic force

What is the work done when a force is applied to an object, but the object does not move?

Positive work

Negative work

Zero work

Undefined work

What is the resultant of two forces acting at an angle to each other?

Sum of the forces

Difference of the forces

Product of the forces

Vector sum of the forces

In a tug-of-war, if two teams pull with equal force, what is the net force on the rope?

Zero

Equal to the force applied by one team

Twice the force applied by one team

Depends on the masses of the teams

What is the condition for an object to be in equilibrium under the action of concurrent forces?

The net force is zero.

The net torque is zero.

The net force and net torque are both zero.

The net force and net torque are both non-zero.

#10

If two vectors are parallel, what can you say about their cross product?

It is zero.

It is undefined.

It is infinite.

It is equal to the product of the magnitudes of the vectors.

#11

If two forces of 5 N and 12 N act in the same direction, what is the resultant force?

17 N

7 N

12 N

5 N

#12

What is the formula for calculating the magnitude of the gravitational force between two masses?

F = G * (m1 * m2)

F = G / (m1 * m2)

F = G * (m1 / m2)

F = G / (m1 / m2)

#13

What is the angle between two perpendicular vectors?

0 degrees

45 degrees

90 degrees

180 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?

2 kg

5 kg

20 kg

Cannot be determined

#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

10 N

12.99 N

15 N

#16

What is the relationship between the magnitudes of vector addition and subtraction for two vectors?

Always equal

Always different

Equal only if the vectors are perpendicular

Equal only if the vectors are parallel

#17

In a system of forces, what is the equilibrium condition for translational motion?