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Midterm Review Sample Problems 1. How many significant figures in the following numbers? a. 0.070m b. 1907g c. 2.0s d. 4.51E6 2. Perform the following calculation and give answers in proper significant figures. a. 3.20g + 19.1g + 0.00934g= c. 25.60g – 15.178g = b. 2 cm × 0.0867cm = d. 9.685g/3.6000cm3 = 3. Place the following numbers into correct scientific notation. a. 12,500 km b.0.00834 m c. 25.2 E-4 4. Convert the following a. 5.6 m to cm b. 17,400mg to kg c .35m/s to km/hr 5. A person walks 5.0 km south from home to their friend house and then walks another 3.0 km south to the grocery store before turning around and going back home. a) What distance did she travel? B )What was her displacement? 6. Identify the following graphs giving (A) the name of the shape (b) the name of the relationship between x and y and (C) the general mathematical equation. a. b. c. 7. Sketch a distance vs. time graph that shows an object… a. Moving with a constant positive velocity b. That is stationary c. Slowing down while moving forward. 8. Sketch a velocity vs. time graph that shows and object… a. Moving with a constant negative velocity. b. With a positive constant acceleration but slowing down. c. That is stationary. 9. Sketch an acceleration vs. time graph that shows an object a. That is stationary b. That has a positive acceleration c. That has a negative acceleration. 10. A car has an initial velocity of 12.0 m/s. After 5.00 s its final velocity is 25.0 m/s. What is the car’s rate of acceleration? 11. A hiker moves 12.0 km West then heads north for 9.0 km. What is the resultant displacement of the hiker (magnitude and direction)? 12. According to Newton’s second law, explain how you could decrease the rate of acceleration. (2 possible answers) 13. A 50.0 kg cart is pushed across a level floor at a constant speed. If the coefficient of kinetic friction between the cart and floor is 0.20, what force must be applied to the cart to maintain constant speed? 14. A toy duck starting from rest is pulled by a child across a floor until it reaches a final velocity of 45 cm/s, how far will it travel in 3.6 seconds? 15. An object starts from rest with a constant acceleration of 30.0 m/s 2. How long would it take to travel 250.0m? 16. A ball is thrown straight up with an initial velocity of 40.0 m/s. (a) How much time would it take to reach its maximum height? (b) what is its final velocity if it is caught at the same height? 17. A box with a mass of 2.0 kg slides down a 30.0°incline with a coefficient of friction between the box and incline of 0.15. Answer the following questions. a) What is the weight of the box? b) What is the perpendicular component of the weight? c) What is the parallel component of the weight? d) What is the normal force acting on the box? e) What is the frictional force acting on the box? f) What is the acceleration of the box down the plane? (Hint: Find the Fnet first.) 18. A ball rolls straight of a table with a horizontal velocity of 1.30 m/s. The table is 0.75 m high. (A) How long will it take to hit the ground? (b) How far away from the edge of the table will it land? 19. A football player kicks the ball into the air at an angle of 42.0°above the horizontal with an initial speed of 36.0 m/s. Find the following. a) How long did it take the ball to reach maximum height? b) What is the maximum height of the ball? c) What is the range of the ball? d) What is the final velocity of the ball upon impact? 20. An object is freely falling to Earth. If air resistance is ignored, describe the relationship between (a) the time it takes to fall and the displacement of the ball (b) the time it takes to fall and the velocity of the ball. 21. Use the velocity vs. time graph on the next page to answer the following questions. (a) What is the displacement of the object? (b) What is the acceleration of the object?