Week One Physics Assignment
NAME_____________________________________
Instructions: Please answer each of the following questions. Please be sure that you show full solutions to arithmetic problems (just showing answers will result in no credit). Short answer questions should be answered in complete sentences. Watch your positive/negative signs. You must show the correct units of your answer!
1. A roller coaster designer wants their coaster to go from 0 m/s to 32 m/s in 6.5 seconds. What is the length of track needed to accommodate this? (10 points)
2. For a projectile fired at 26° from a height of 0 m, how long does it take it to hit the ground? Remember that ay = -9.8 m/s2. Initial velocity of the projectile is 32 m/s. (10 points)
3. Using your answer from #2, how far did the cannonball travel in the horizontal direction? (10 points)
4. Suppose that two identical mass planets are sitting a million miles apart. At that distance, the planets have a gravitational force of 1,000,000 N. If the planets are moved to four million miles apart, what is the new gravitational force between them? (10 points)
5. A car of mass 950 kg drives around a curve of radius 25 m. If the car maintains a constant velocity of 11 m/s, what is the centripetal force acting on the car? (10 points)
6. A wagon is pulled with a net force of 1050 N. If the wagon accelerates at a rate of 2 m/s2, what is the mass of the wagon? (10 points)
7. A housecat accelerates (from rest) at 0.15 m/s2 for 5 seconds. How fast is the cat going after 5 seconds? (10 points)
8. Which has greater inertia, you or a skyscraper? If you push on the side of a skyscraper with a force of 100 N, how much force does the skyscraper push back on you with? (10 points)
9. If the period of a pendulum decreases from 6 seconds to 1.5 seconds, by what factor will the frequency of the pendulum change? (10 points)
10. The top speed of a Utahraptor is about 10 m/s. How long would it take a Utahraptor to run 500 m if it accelerates from rest to 10 m/s? Assume acceleration is constant and it reaches its top speed at exactly 500 m from its starting point. (10 points)
NAME_____________________________________
Instructions: Please answer each of the following questions. Please be sure that you show full solutions to arithmetic problems (just showing answers will result in no credit). Short answer questions should be answered in complete sentences. Watch your positive/negative signs. You must show the correct units of your answer!
1. A roller coaster designer wants their coaster to go from 0 m/s to 32 m/s in 6.5 seconds. What is the length of track needed to accommodate this? (10 points)
2. For a projectile fired at 26° from a height of 0 m, how long does it take it to hit the ground? Remember that ay = -9.8 m/s2. Initial velocity of the projectile is 32 m/s. (10 points)
3. Using your answer from #2, how far did the cannonball travel in the horizontal direction? (10 points)
4. Suppose that two identical mass planets are sitting a million miles apart. At that distance, the planets have a gravitational force of 1,000,000 N. If the planets are moved to four million miles apart, what is the new gravitational force between them? (10 points)
5. A car of mass 950 kg drives around a curve of radius 25 m. If the car maintains a constant velocity of 11 m/s, what is the centripetal force acting on the car? (10 points)
6. A wagon is pulled with a net force of 1050 N. If the wagon accelerates at a rate of 2 m/s2, what is the mass of the wagon? (10 points)
7. A housecat accelerates (from rest) at 0.15 m/s2 for 5 seconds. How fast is the cat going after 5 seconds? (10 points)
8. Which has greater inertia, you or a skyscraper? If you push on the side of a skyscraper with a force of 100 N, how much force does the skyscraper push back on you with? (10 points)
9. If the period of a pendulum decreases from 6 seconds to 1.5 seconds, by what factor will the frequency of the pendulum change? (10 points)
10. The top speed of a Utahraptor is about 10 m/s. How long would it take a Utahraptor to run 500 m if it accelerates from rest to 10 m/s? Assume acceleration is constant and it reaches its top speed at exactly 500 m from its starting point. (10 points)
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