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A mass = [m] kg is tied to a rope that is wrapped around a pulley and connected to a spring with spring constant . The rope and pulley are essentially massless and frictionless. At the initial position of the system (illustrated by top block), the spring is at equilibrium length. When the block has dropped a distance = [d] m, the system is again at rest. What is the value of the spring constant ? Please give your answer in units of N/m.

In this system, the rope and pulley have negligible mass and the pulley is frictionless but there is friction between and the ramp. The ramp has an incline angle

If a flea can jump straight up to a height of = [h] cm, what is the initial speed as it leaves the ground? Please give your answer in units of m/s.

Shown here are two masses connected by a string hanging over a frictionless, massless pulley. What is the tension in the string?

A projectile is fired at a speed of and at an angle

(7 pts) Part d of Question 17

At its most distant, Pluto is 7.5 billion km from Earth. We would like to leave Earth and stop at Pluto by accelerating at for half of this distance and decelerating at for the other half. How long does it take to make this trip? (Note you can’t actually carry enough fuel to accelerate continuously over the length of this trip. It’s just a thought exercise.)

You are tasked with surveying your town to find the best playground in the city.  You start by dividing the town into 6 regions.  You need  120 people to survey.  You plan to randomly sample 20 people from each region.     Which type of sampling method is being used?

Using the previous question about the number of pets in household (question 11), draw the box plot (box and whisker plot, non outlier version) on your scratch paper.  Make sure to upload your scratch!!!!  

Marisol collected data from a random sample of 1000 homeowners in Texas asking whether or not they wear gloves in winter. Based on the results, she reports the 20% of the homeowners in the nation wear gloves in winter. Why is this statistic misleading?