1. You are defining a new unit of mass, called the qat (pronounced cat). One qat...
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1. You are defining a new unit of mass, called the qat (pronounced "cat"). One qat is equivalent to 7000 g. (a) You carry a backpack with 10 kg of books in it. How many qats are you carrying? (b) A large insect weighs 1.5 ounces. If a one-ounce object has a mass of 28g, what is the mass of the insect in units of qats? Express your result using an appropriate metric prefix. 2. (Target F2) A car traveling in a straight line is speeding up. Does this necessarily mean its acceleration is positive? Explain your reasoning. 3. (Target F3) The fearsome Viking leader Earache the Loud is training a team of rowers for one of his ships. They are rowing in a straight line, backwards and forwards. The go through the following drills: 1. Move forward 10 m in 10s 2. Move forward 10m in 5s 3. Remain in place for 5s 4. Move backwards 25 m in 16s (a) Draw a position vs. time graph representing the boat's motion. Remember to label all axes appropriately. Define the initial position of the boat to be x = 0. (b) Draw a velocity vs. time graph representing the boat's motion. Remember to label all axes appropriately. 4. (Target C1) You assemble a track for a toy car. The toy is released from rest at the top of a ramp on a table. The car goes down the ramp, then up a shorter ramp, launching it into the air. Some distance away, it lands on the ground. The top of the first ramp is 1.25 m above the top of the table. The top of the launch ramp is 0.25 cm above the top of the table. The table top is 0.75 m above the ground. (a) What is the speed of the car when it reaches the bottom of the first ramp? (b) What is the speed of the car as it leaves the launch ramp? (c) What is the speed of the car just before it hits the ground? 5. (Target C2) You are riding on a skateboard, traveling forward at 4 m/s. You throw your backpack forward, after which you are moving at 3.75 m/s. You have a mass of 75 kg, the skateboard has a mass of 5 kg, and your backpack has a mass of 12 kg. How fast did you have to throw your backpack? 1. You are defining a new unit of mass, called the qat (pronounced "cat"). One qat is equivalent to 7000 g. (a) You carry a backpack with 10 kg of books in it. How many qats are you carrying? (b) A large insect weighs 1.5 ounces. If a one-ounce object has a mass of 28g, what is the mass of the insect in units of qats? Express your result using an appropriate metric prefix. 2. (Target F2) A car traveling in a straight line is speeding up. Does this necessarily mean its acceleration is positive? Explain your reasoning. 3. (Target F3) The fearsome Viking leader Earache the Loud is training a team of rowers for one of his ships. They are rowing in a straight line, backwards and forwards. The go through the following drills: 1. Move forward 10 m in 10s 2. Move forward 10m in 5s 3. Remain in place for 5s 4. Move backwards 25 m in 16s (a) Draw a position vs. time graph representing the boat's motion. Remember to label all axes appropriately. Define the initial position of the boat to be x = 0. (b) Draw a velocity vs. time graph representing the boat's motion. Remember to label all axes appropriately. 4. (Target C1) You assemble a track for a toy car. The toy is released from rest at the top of a ramp on a table. The car goes down the ramp, then up a shorter ramp, launching it into the air. Some distance away, it lands on the ground. The top of the first ramp is 1.25 m above the top of the table. The top of the launch ramp is 0.25 cm above the top of the table. The table top is 0.75 m above the ground. (a) What is the speed of the car when it reaches the bottom of the first ramp? (b) What is the speed of the car as it leaves the launch ramp? (c) What is the speed of the car just before it hits the ground? 5. (Target C2) You are riding on a skateboard, traveling forward at 4 m/s. You throw your backpack forward, after which you are moving at 3.75 m/s. You have a mass of 75 kg, the skateboard has a mass of 5 kg, and your backpack has a mass of 12 kg. How fast did you have to throw your backpack?
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