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Classical Mechanics

Work

Concept Quizzes

Work Warmup
Work-kinetic energy theorem
Work done by a constant force
Rocket physics
Work-energy theorem (vector form)
Power input to a system
Work 1D - Problem Solving
Work 2D - Problem Solving

Challenge Quizzes

Work: Level 2 Challenges
Work: Level 3 Challenges

Work-energy theorem (vector form)

A constant force of $35\text{ N}$ is applied to an object at an angle of $-45^\circ$ with the horizontal as shown above. The object is pulled $12\text{ m}$ at an angle of $15^\circ$ with the horizontal. How much work is done in the process of moving the object?

105\text{ J}

210\sqrt{2}\text{ J}

105\sqrt{2}\text{ J}

210\text{ J}

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by Brilliant Staff

A box with a mass of $20\text{ kg}$ is moved along a horizontal floor by a worker. He is pulling on the box with a rope. The angle between the rope and the floor is $30^\circ.$ The tension in the rope is $250\text{ N}$ and the box slides a distance of $10\text{ m}.$ Approximately how much work is done on the box by the rope?

Notes

$\sqrt{3}$ is about $1.732.$

2165.0\text{ J}

4330.0\text{ J}

1767.5\text{ J}

2500.0\text{ J}

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by Brilliant Staff

The above diagram depicts a ramp of distance $d=10\text{ m}$ with an incline angle of $30^\circ.$ A box with mass $m=25\text{ kg}$ is sliding down the inclined plane and the coefficient of kinetic friction between the box and the ramp is $\mu_k=0.2.$ What is the total work done on the box by all of the forces acting on it?

The gravitational acceleration is $g=10\text{ m/s}^2.$

(1250+250\sqrt{3})\text{ J}

(1250+1000\sqrt{2})\text{ J}

(1250-1000\sqrt{2})\text{ J}

(1250-250\sqrt{3})\text{ J}

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by Brilliant Staff

Four different objects are being acted on by four respective forces of identical magnitudes and different directions. The directions of each force make angles of $84^{\circ}, 53^{\circ}, 38^{\circ},$ and $2^{\circ},$ respectively, with the horizontal axis. If the horizontal displacements of the four objects are equal after the forces have been applied, which of the following options correctly compares the amount of work, $W_{\theta},$ done by the different forces?

W_{2^{\circ}}=W_{84^{\circ}}>W_{38^{\circ}}>W_{53^{\circ}}

W_{2^{\circ}}>W_{38^{\circ}}>W_{53^{\circ}}>W_{84^{\circ}}

W_{84^{\circ}}>W_{53^{\circ}}>W_{38^{\circ}}>W_{2^{\circ}}

W_{2^{\circ}}=W_{38^{\circ}}=W_{53^{\circ}}=W_{84^{\circ}}

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by Brilliant Staff

A block is pushed for a distance of $d=2.7\text{ m}$ along a frictionless horizontal floor by a constantly applied force of magnitude $F=16.0\text{ N}.$ The mass of the block is $m=2.5\text{ kg}$ and the angle between the applied force and the floor is $\theta=30^\circ,$ as shown in the above figure. Approximately how much work is done on the box by the applied force?

$\sqrt{3}$ is about $1.732.$

37.4\text{ J}

74.8\text{ J}

-37.4\text{ J}

-74.8\text{ J}

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by Brilliant Staff