Work — MCQ Practice

A block of mass $2\text{ kg}$ is pulled $5\text{ m}$ along a horizontal surface by a force of $10\text{ N}$ acting at an angle of $37^\circ$ above the horizontal. The coefficient of kinetic friction between the block and the surface is $0.2$. Calculate the net work done on the block. (Given: $\sin 37^\circ = 0.6$, $\cos 37^\circ = 0.8$, $g = 10\text{ m/s}^2$)

A particle moves along the x-axis from $x = 0$ to $x = 4\text{ m}$ under the influence of a force $F(x) = (5x^2 - 2x + 3)\text{ N}$. Calculate the work done by the force.

A $0.5\text{ kg}$ ball is thrown vertically upwards with an initial speed of $10\text{ m/s}$. Calculate the work done by gravity on the ball when it reaches its maximum height. (Take $g = 10\text{ m/s}^2$)

A spring with a spring constant $k = 200\text{ N/m}$ is compressed by $10\text{ cm}$ from its equilibrium position. Calculate the work done by the spring during this compression.

A $10\text{ kg}$ object is initially at rest. A constant net force of $50\text{ N}$ acts on it for $4\text{ s}$. What is the work done by the net force on the object?

A force-displacement graph for a particle is shown below. The force acts along the direction of displacement. Calculate the work done by the force from $x = 0\text{ m}$ to $x = 6\text{ m}$. (Imagine a graph: x-axis from 0 to 6, y-axis (Force in N) from 0 to 10. The graph is a straight line from (0,0) to (2,10), then a horizontal line from (2,10) to (4,10), then a straight line from (4,10) to (6,0).)

A $5\text{ kg}$ object is lifted vertically upwards by a rope with a constant acceleration of $2\text{ m/s}^2$. If the object is lifted by $3\text{ m}$, what is the work done by the tension in the rope? (Take $g = 10\text{ m/s}^2$)