1. A 5 kg block on a ramp of 20 degrees slides down to the bottom with a coefficient of friction of 0.25. What acceleration does the block have? 2. A speed skater moving across frictionless ice at 8.0 m/s hits a 5.0-m- wide patch of rough ice. She slows steadily, then continues on at 6.0 m/s. What is her acceleration on the rough patch? 3. Calculate the gravitational force of the Earth and Moon. The Earth has a mass of 5.972x1024 kg and the Moon has a mass of 7.348x10" kg. They are an average of 384 million meters apart. 4. A position vs time graph has a straight line set at the 2 m position for 5 seconds. How can you find the velocity of this object? What is the velocity? 5. A fully loaded plane with all engines working at full thrust can accelerate at 2.9 m/s. Its minimum takeoff speed is at least 290 km/h when it leaves the runway. If the plane starts at rest, how much runway does it need to take off? 6. Consider a ball on a circular track. The ball is slowly coming to a stop which takes 15.0 seconds. At the start, the ball was moving around with 9.13 rad/s. Calculate the angular deceleration if the ball traveled across 90 radians. 7. Chameleons catch insects with their tongues which they can rapidly extend to great lengths. In a typical strike, the chameleon's tongue accelerates at a remarkable 250 m/s for 0.02 s, then travels at a constant speed for another 0.03 s. During this total time of 0.05 s, how far does the tongue reach? 8. Consider being at the top of cliff and throwing a book off the ledge. The book leaves at an angle of 52 degrees and a velocity of 16.0 m/s. If it moves through the air for 13.4 seconds, how far does it fall? What about the range? 9. If you, and 80 kg person, are in an elevator and it starts to move upward (so initially at rest, then changes to move up). What Normal force should be present if it starts at rest and moves at 6 m/s in 3 s? 10. A physics sign is held up by 2 ropes. The left one is 30 degrees to the vertical and the right one is 50 degrees to the vertical. How much should the tension be in each rope if the sign is 200 kg? 11. Imagine a rope-pulley system with a block on a table and one hanging off a pulley. If there is 2.0 kg hanging off, what mass is needed to keep the system at rest? (Coefficient is 0.75) 12. A velocity vs time graph has a straight line that goes from 0 m/s up to 10 m/s over 20 seconds. What is the displacement traveled within this time frame?