Question bank: Hydrostatics: Work and Energy Problems

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Question 1:

Medium

João is pushing a shopping cart with a constant force on a flat, horizontal surface. The cart has a mass of 15 kg and João pushes it with a force of 60 N for 20 meters until it reaches a speed of 3 m/s.

Hydrostatics: Work and Energy Problems

Question 2:

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 3:

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 4:

Medium

A 5 kg box is pulled from rest by a rope parallel to the ground, exerting a constant force of 24 N. The rope is stretched by a distance of 3 meters, and the coefficient of friction between the box and the surface is 0.2. The total work done by the force of the rope and the force of friction is:

Hydrostatics: Work and Energy Problems

Question 5:

Very Easy

A spring with a spring constant k = 200 N/m is compressed by 0.1 m and used to shoot a projectile of mass 0.02 kg on a frictionless horizontal surface. Considering that the projectile moves freely after leaving the spring, determine the elastic potential energy stored in the spring during compression. Then, calculate the velocity of the projectile immediately after leaving the spring.

Hydrostatics: Work and Energy Problems

Theorical Question

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