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Name:_______________________________ Period:______ Newton’s 2nd Law Practice Use the equations below to solve the problems. Be sure to SHOW YOUR WORK for full credit. The first few problems will help get you started showing your work. Force = Mass x Acceleration F = m× a Mass = Force / Acceleration m= F a (kilograms, kg) Acceleration = Force / mass a= F m (meters/second squared, m/s2) (newtons, N) 1. A runner who has a mass of 100.0 kg runs into a wall with a deceleration of 4.0 m/s2. With what force did the runner hit the wall? (variables, 1-point) F = ? (equation, 1-Point) (work, 1-point) (answer with correct units, 1-point) N M = ______ kg F = m x a = ___ x ____ = N A = ______ m/s2 2. You need to move a grocery cart with a mass of 10.0 kg. Your acceleration is 1.5 m/s2. How much force is required? F = ______ N M = ______ kg A = ______ m/s2 3. At the end of your grocery shopping, your cart has a mass of 40.0 kg. You want to maintain your acceleration at 1.5 m/s2. How much force do you need to do this? F = M= A = 4. You are riding your bicycle and pedaling with a force of 150 newtons. Your mass (including the bike) is 75 kg. What is your acceleration? F = M= A = 5. A car has a mass of 1,500 kg and an acceleration of 2.0 m/s2. What is the net force acting on the car? F = M= A = Newtons 2nd Law Word Problems.docx 1 Newton’s 2nd Law Practice (continued) 6. A softball hit by a bat has an acceleration of 2,000 m/s2. If the net force of the softball is 500 N, what is the softball's mass? F = M= ? A = 7. You throw a 0.5 kg avocado with a force of 10 N. What is the avocado's acceleration? F = M= A = ? 8. A little boy pushes a wagon with his dog in it. The mass of the dog and wagon together is 45 kg. The wagon accelerates at 0.85 m/s2. What force is the boy pulling with? F = M= A = 9. A 68 kg runner exerts a force of 374 N. What is the acceleration of the runner? F = M= A = 10. A crate is dragged across an ice covered lake. The box accelerates at 0.08 m/s2 and is pulled by a 47 N force. What is the mass of the box? F = M= A = 11. A 1650 kg car accelerates at a rate of 4.0 m/s2. How much force is the car’s engine producing? (This is neglecting friction) F = M= A = 12. A tennis ball, 0.314 kg, is accelerated a rate of 164 m/s2 when hit by a professional tennis player. What force does the player’s tennis racket exert on the ball? F = M= A = Newtons 2nd Law Word Problems.docx 2 Newton’s 2nd Law Practice (continued) 13. What is the mass of a falling rock if it produces a force of 147 newtons? F = M= A = 14. What is the mass of a truck if it produces a force of 14,000 N while accelerating at a rate of 5 m/s2 ? F = M= A = 15. Sally has a car that accelerates at 5 m/s2. If the car has a mass of 1000 kg, how much force does the car produce? F = M= A = 16. A 10 kg bowling ball would require what force to accelerate down an alleyway at a rate of 3 m/s2? F = M= A = 17. What net force is required to accelerate a car at a rate of 2 m/s2 if the car has a mass of 3,000 kg? F = M= A = 18. What is the acceleration of softball if it has a mass of 0.5 kg and hits the catcher's glove with a force of 25 N? F = M= A = 19. Your own car has a mass of 2000 kg. If your car produces a force of 5000 N, how fast will it accelerate? F = M= A = Newtons 2nd Law Word Problems.docx 3 Newton’s 2nd Law Practice (continued) 20. Suppose you want to accelerate even faster than in the previous problem, so you remove 500 kg of mass from your car. How fast will your 1500 kg car accelerate if it produces 5000 N of force? F = M = A = 21. A type of elevator called a cage is used to raise and lower miners in a mine shaft. Suppose the cage carries a group of miners down the shaft. If the unbalanced force on the cage is 60.0 N, and the mass of the loaded cage is 1.50 × 102 kg, what is the acceleration on the cage? F = M = A = 22. A 214 kg boat is sinking in the ocean. The force of gravity that draws the boat down is partially offset by the buoyant force of the water, so the net unbalanced force on the boat is −1310 N. What is the acceleration of the boat? F = M = A = 23. The whale shark is the largest of all fish and can have the mass of three adult elephants. Suppose that a crane is lifting a whale shark into a tank for delivery to an aquarium. The crane must exert an unbalanced force of 25,000 N to lift the shark from rest. If the shark’s acceleration equals 1.25 m/s2, what is the shark’s mass? F = M = A = 24. In drag racing, acceleration is more important than speed, and therefore drag racers are designed to provide high accelerations. Suppose a drag racer has a mass of 1250 kg and accelerates at a constant rate of 16.5 m/s2. How large is the unbalanced force acting on the racer? F = M = A = 25. The force that stops a jet plane as it lands on the flight deck of an aircraft carrier is provided by a series of arresting cables. These cables act like extremely stiff rubber bands, stretching enough to keep from slowing the plane down too suddenly. A Hornet jet with a mass of 13,000 kg lands with an acceleration of −27.6 m/s2. How large is the unbalanced force that the arresting cables exert on the plane? F = M = A = Newtons 2nd Law Word Problems.docx 4