Estimate how much work is done by the spring

Reference no: EM13528959

A mass m = 11.0 kg rests on a frictionless table and accelerated by a spring with spring constant k = 4093.0 N/m. The floor is frictionless except for a rough patch. For this rough path, the coefficient of friction is ?k = 0.52. The mass leaves the spring at a speed v = 3.9 m/s.

1) How much work is done by the spring as it accelerates the mass?

2) How far was the spring stretched from its unstreched length?

3) The mass is measured to leave the rough spot with a final speed vf = 2.1 m/s. How much work is done by friction as the mass crosses the rough spot?

4) What is the length of the rough spot?

5) In a new scenario, the block only makes it (exactly) half-way through the rough spot. How far was the spring compressed from its unstretched length?

6) In this new scenario, what would the coefficient of friction of the rough patch need to be changed to in order for the block to just barely make it through the rough patch?

7) Return to a scenario where the blcok makes it throgh the entire rough patch. If the rough patch is lengthened to a distance of three times longer, as the block slides through the entire distance of the rough patch, the magnitude of the work done by the force of friction is:

Reference no: EM13528959

Questions Cloud

Find what orientation gives sum of zero : Consider adding four phasors of equal amplitude due to four point sources in a line. What orientation gives sum of zero

Obtain how far from where it was kicked will the ball land : A soccer ball is kicked with an initial horizontal velocity of 12.0 m/s and an initial vertical velocity of 19.0 m/s, How far from where it was kicked will the ball land

Calculate for how long in time was the hare stationary : A hare and a tortoise compete in a race over a straight course 1.00 km long. The tortoise crawls at a speed of 0.200 m/s toward the finish line. For how long in time was the hare stationary

What is the horizontal acceleration of the block : Two forces, 1 and 2, act on the 5.00 kg block shown in the drawing. What is the horizontal acceleration (magnitude and direction) of the block

Estimate how much work is done by the spring : A mass m = 11.0 kg rests on a frictionless table and accelerated by a spring with spring constant k = 4093.0 N/m. How much work is done by the spring as it accelerates the mass

Determine the time interval the electron spends : In an electron microscope, there is an electron gun that contains two charged metallic plates 2.65 cm apart. Determine the time interval the electron spends between the plates

What fraction of the chemical energy released by the engine : A certain solid-propellant model rocket engine releases a total of 6000 J of energy as it burns. what fraction of the chemical energy released by the engine

Write the equation for centripital force : an ice puck of mass m revolves on an icy surface in a circle at speed v at the end of a horizontal string of length L. write the equation for centripital force

Find the magnetic field at the center of the solenoid : Solenoids produce magnetic fields that are relatively intense for the amount of current they carry. Find the magnetic field at the center of the solenoid

User Account

All Pages