Front

What is the formula for calculating work done?

Back

Work done (W) = Force (F) × Distance (d) × cos(θ), where θ is the angle between the force and the direction of motion.

Front

If a force of 200N is applied over a distance of 10m, how much work is done?

Back

1800 J

Front

What is torque?

Back

Torque is the measure of the force that can cause an object to rotate about an axis. It is calculated as Torque (τ) = Force (F) × Lever arm distance (r).

Front

True or False: Torque is the product of a force exerted on an object times the lever arm.

Back

True

Front

How do you calculate the torque applied to a wrench?

Back

Torque (τ) = Force (F) × Distance (d) from the axis of rotation. For a 15N force applied 50cm away, τ = 15N × 0.5m = 7.5 Nm.

Front

What is the cross product of two vectors?

Back

The cross product of two vectors results in a vector that is perpendicular to both of the original vectors. It is calculated using the determinant of a matrix formed by the unit vectors and the components of the vectors.

Front

Calculate the cross product of vectors <3,4,7> and <4,9,2>.

Back

<-55, 22, -9>

Front

What is the formula for the area of a parallelogram spanned by two vectors?

Back

Area = ||a × b||, where a and b are the vectors.

Front

Find the area of the parallelogram spanned by vectors a=<3,−3,1> and b=<4,9,2>.

Back

56

Front

What is the significance of the angle in the work done formula?

Back

The angle θ determines the component of the force that acts in the direction of the displacement. If θ = 0°, all the force contributes to work; if θ = 90°, no work is done.