Question bank: Hydrostatics: Work and Energy Problems

Access these and thousands of other questions, create assignments, projects, and lesson plans in minutes.

Question 1:

Medium

A student applies a force of 50 N to a 5 kg cart that is initially at rest on a flat, horizontal surface. Knowing that the static friction between the cart and the surface is 20 N, determine: 1) What is the work done by the force applied by the student in moving the cart a distance of 10 m? 2) What is the final velocity of the cart after traveling these 10 meters? 3) What was the energy dissipated by friction during the 10 m journey?

Hydrostatics: Work and Energy Problems

Question 2:

Medium

A 2 kg cart is pulled along a frictionless horizontal surface by an applied force of 10 N at an angle of 30° to the surface. Calculate the work done by the applied force to move it 5 meters. What is the value of the work done by the applied force?

Hydrostatics: Work and Energy Problems

Question 3:

Medium

João is helping his father move some objects at home. He pushes a 20 kg box a distance of 5 meters, applying a horizontal force of 100 N. Considering that the energy of the system is conserved and that the friction force has a static coefficient of 0.2.

Hydrostatics: Work and Energy Problems

Question 4:

Very Hard

A block of mass 2 kg is released from rest at the top of a ramp inclined at 30 degrees to the horizontal, which has a length of 4 meters. The surface is perfectly smooth, and the acceleration due to gravity is 10 m/s². The block then descends the ramp and encounters a spring at the end, which has a spring constant of 400 N/m. The block compresses the spring to its maximum compression. Considering that the mechanical energy of the system is conserved and that the height from the top of the ramp to the ground is negligible compared to the maximum height the block reaches after compressing the spring, determine: (1) The velocity of the block immediately before hitting the spring. (2) The maximum distance the spring is compressed. Disregard any dissipative effects and consider the ramp and the spring to be ideal, meaning there is no friction and Hooke's laws are valid.

Hydrostatics: Work and Energy Problems

Theorical Question

Contextualized Question

Question 5:

Very Hard

A block of mass m = 2 kg is placed on a frictionless horizontal surface and attached to an ideal spring with spring constant k = 200 N/m. The block is compressed by a distance d = 0.1 m from the equilibrium position of the spring and then released. Neglecting air resistance and considering the acceleration due to gravity g = 9.8 m/s², determine: (1) the maximum elastic force exerted by the spring on the block during the return to the equilibrium position. (2) the kinetic energy of the block when it reaches the equilibrium position of the spring. Consider that the gravitational potential energy at the equilibrium position of the spring is zero and that the elastic potential energy is given by E_p = (1/2) * k * x^2, where x is the deformation of the spring from the equilibrium position.

Hydrostatics: Work and Energy Problems

Contextualized Question

Calculus Question

IARA TIP

Create lists and assessments from these and other 48 questions of Hydrostatics: Work and Energy Problems

Didn't find what you were looking for? Try searching in a different way!

Grade

Select a grade

Subject

Select a subject

Why are Teachy's Question Banks the most complete available?

Complete platform:

With over 200,000 new questions from reputable sources, the question bank provides a wide range of resources to enhance your teaching materials.

Custom filters:

You can find specific questions based on subject and grade level, across various difficulty types, within hundreds of educational themes. This way, you can create personalized lists in just a few minutes.

Focus on students:

With Teachy's Question Bank, you ensure the success of your classes. We offer high-quality materials, carefully selected and aligned with the National Common Curricular Base, essential for any educational product.

Time for what matters:

The platform's easy access allows teachers to save time when planning their lessons. The materials can be accessed in just a few clicks, making pedagogical preparation straightforward and efficient.

Access anywhere:

Teachy provides the flexibility to access the question bank from anywhere, at any time. With this accessibility, teachers have more freedom to manage their time and resources, making their work more efficient.

See other related topics on Hydrostatics: Work and Energy Problems

Didn't find what you were looking for?

Get full access to dozens of subjects and hundreds of materials on Teachy!