Motion Problems – Speed, Velocity and Momentum problems



Name_______________________________________________ Date________________________ Period_____Physical Science - Mixed Review Word Problems for the EOCT Answer KeyDirections: Read each word problem. Step 1: Write down the correct number of the formula that you would use to solve the problem. Step 2: Solve the problems on the back of this paper. Show your work. Circle your answer. Use circle diagrams to help you!!!!Formula #Word ProblemF = maCalculate the force on an object that has a mass of 12 kg and an acceleration of 4 m/s2.PE =mghA bird carries a 25 g oyster to a height of 11 m. What is the gravitational potential energy of the oyster? D= mvA loaf of bread has a volume of 2270 cm3 and a mass of 454 g. What is the density of the bread?a=Vf-VitDuring a race, a sprinter increases speed from 5.0 m/s to 7.5 m/s over a period of 1.25 s. What is the sprinter’s average acceleration during this period?Q=mc?TCalculate the specific heat capacity of an unknown substance given that 204.75 J of energy raises the temperature of 18g of copper from 32° to 48°C.s= dtA sprinter runs the 100-meter race in 10 seconds. What is the sprinter’s speed?W = FdYour family is moving to a new apartment. While lifting a box 1.5m straight up to put it on a truck, you exert an upward force of 200 N. How much work did you do?s= dtA car travels 500 miles east in 10 hours. What is the speed of the car?F= maA 3,000-N force acts on a 200-kg object. The acceleration of the object is___.F= maGiven a force of 88 N and an acceleration of 4 m/s2, what is the mass? D= mvA block of wood has a density of 0.6 g/cm3 and a volume of 1.2 cm3. What is the mass of the block of wood? Be careful!MA=dedrCalculate the mechanical advantage of a ramp that is 6.0 m long and 1.5 m high.s= dtSally drove at a speed of 50 km /hr. south for 2 hours. How far did she travel?w=mgWhat is the weight of an object that has a mass of 25 kg?W=FdA young man exerted a force of 9,000 N on a stalled car but was unable to move it. How much work was done?F=maWhat is the acceleration of a 10 kg mass pushed by a 5 N force? W=FdA crane uses an average force of 5200 N to lift a girder 25 m. How much work does the crane do on the girder?a=Vf-VitA person is traveling at 20 m/s in a car when the car hits a tree. The person comes to a complete stop in 0.4 seconds. Calculate the acceleration.W=FdA crane uses an average force of 5200 N to lift a girder 25 m, but the girder does NOT move. How much work does the crane do on the girder?KE=1/2mv2A cheetah can run briefly with a speed of 31 m/s. Suppose a cheetah with a mass of 47 kg runs at this speed. What is the cheetah’s kinetic energy?w=mgWhat is the mass of an object that weighs 58 N?s= dtFind the speed of a long-distance runner who runs 30 miles in 6 hours.Q=mc?TCalculate the amount of heat needed to increase the temperature of 155g of water from 23°C to 44°C. (The specific heat of water is 4.18 J/g°C)a=Vf-VitA plane stops after traveling 125 mph in 0.5 hours. What is the plane’s acceleration?Q=mc?T241 J of energy is required to raise the temperature of an unknown substance from 23° to 42°C. Calculate the mass of the substance. (Specific Heat Capacity of the substance is 0.90 J/g°C).Calculate the force on an object that has a mass of 12 kg and an acceleration of 4 m/s2.Given:m = 12kga = 4 m/s2F= ?394716013144500Formula: F = m * aWork: F = 12kg * 4 m/s2 = 48 NA bird carries a 25 g oyster to a height of 11 m. What is the gravitational potential energy of the oyster?Given:GPE = ?m = 25 gg = 9.8 m/s2h = 11 mFormula:3947160444500 GPE = mghWork: GPE = (25g)(9.8 m/s2)(11m) = 2695 JDuring a race, a sprinter increases speed from 5.0 m/s to 7.5 m/s over a period of 1.25 s. What is the sprinter’s average acceleration during this period?Given:vi = 5.0 m/svf =7.5 m/st = 1.25 sa = ?389001011239500Formula: a = ?v/?t OR a = vf - vi tWork: a = (7.5 m/s – 5.0 m/s) = 2.5 m/s = 2 m/s2 1.25 s 1.25 sYour family is moving to a new apartment. While lifting a box 1.5m straight up to put it on a truck, you exert an upward force of 200 N. How much work did you do?Given:W = ?f = 200 Nd = 1.5 m394716011239500Formula: W = f * dWork: W = 200 N * 1.5 m = 300 JA block of wood has a density of 0.6 g/cm3 and a volume of 1.2 cm3. What is the mass of the block of wood? Be careful!Given:D = 0.6g/cm3m = ?v = 1.2 cm3399478513144500Formula: D = m/v SO m = D * vWork: m = 0.6 g/cm3 * 1.2 cm3 = 0.72 gCalculate the mechanical advantage of a ramp that is 6.0 m long and 1.5 m high.Given:Dinput = 6.0 m (length)Doutput = 1.5 m (height)MA = ?394716014097000Formula: MA = Din OR l Dout hWork: MA = 6.0 m = 4 1.5 m What is the weight of an object that has a mass of 25 kg?Given:w =?m = 25 kgg = 9.8 m/s2394716014097000Formula: w = m * gWork: W = 25kg * 9.8 m/s2 = 245 NA young man exerted a force of 9,000 N on a stalled car but was unable to move it. How much work was done?Given:W =?f = 9000Nd = 0 m394716014097000Formula: W = f * dWork: W = 9000N * 0 m = 0 NA cheetah can run briefly with a speed of 31 m/s. Suppose a cheetah with a mass of 47 kg runs at this speed. What is the cheetah’s kinetic energy?Given:KE = ?1/2m = 47 kgv = 31 m/s394716014097000Formula: KE = ?*m*v2Work: KE = (?)(47kg)(31 m/s)2 = (23.5)(961) = 22583.5 JFind the speed of a long-distance runner who runs 30 miles in 6 hours.Given:v = ? d = 30 mit = 6 hrs394716014097000Formula: V = d tWork: V = 30 mi 6 hrs = 5 mphCalculate the amount of heat needed to increase the temperature of 155g of water from 23°C to 44°C. (The specific heat of water is 4.18 J/g°C)Given:Q = ?m = 155gc = 4.18 J/g °C ?T = 44°C - 23°C = 21°C394716014097000Formula: Q = m * c * ?TWork: Q = (155g)(4.18 J/g?C)(21?C) = 13605.9 J 241 J of energy is required to raise the temperature of an unknown substance from 23° to 42°C. Calculate the mass of the substance. (Specific Heat Capacity of the substance is 0.90 J/g°C).Given:Q = 241 Jm = ?c = 0.90 J/g °C ?T = 42°C - 23°C = 19°C394716014097000Formula: Q = m * c * ?T so m = Q __ c * ?TWork: m = 241 J_____ = 14.09 g (0.90 J/g°C)(19°C) ................
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