# Lesson Worksheet: Work Done by a Force Expressed in Vector Notation Mathematics

In this worksheet, we will practice calculating the work done by a constant force vector acting on a body over a displacement vector using the dot product.

Q1:

A particle moves in a plane in which and are perpendicular unit vectors. A force acts on the particle. The particle moves from the origin to a point with the position vector m. Find the work done by the force.

Q2:

A body moves under the force from point to point . Determine the work done by the force, where the displacement is measured in meters and the force in newtons.

Q3:

A body moves in a plane in which and are perpendicular unit vectors. Two forces, and act on the body. The particle moves from the point with position vector m to the point m. Find the work done by the resultant of the forces.

Q4:

A particle moves in a plane in which and are perpendicular unit vectors. Its displacement from the origin at time seconds is given by and it is acted on by a force . How much work does the force do between and ?

Q5:

A force N is acting on a particle whose position vector as a function of time is given by m. Calculate the work done by the force between and .

Q6:

A body of mass 3 kg is moving under the action of a force , such that its displacement . Find the work done by this force in the first 6 seconds of its motion, given that the displacement is measured in meters, the force in newtons, and the time in seconds.

Q7:

A force acts on a particle, causing a displacement . If the work done by the force is 0.02 J, what is the value of ?

Q8:

A particle moved from point to point along a straight line under the action of the force . During this stage of motion, the work done by the force was 106 units of work. The particle then moved from to another point under the effect of the same force. During this stage of motion, the work done by the force was units of work. Determine the two constants and .

• A,
• B,
• C,
• D,

Q9:

A particle moved from point to point along a straight line under the action of a force of magnitude N acting in the same direction as the vector . Calculate the work done by the force, given that the magnitude of the displacement is measured in meters.

Q10:

A particle moved from point to point along a straight line under the action of the force acting in the opposite direction to the displacement . Find the work done by the force .

This lesson includes 43 additional questions and 232 additional question variations for subscribers.