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Exam Review Part 2 SPH4C Question 1 Starting from rest, Jacob accelerates to a velocity of 4.6 m/s [E] in 2.0 s. (a) What was Jacob's acceleration? Question 1 Starting from rest, Jacob accelerates to a velocity of 4.6 m/s [E] in 2.0 s. (a) What was Jacob's acceleration? v1 0 ms v2 4.6 ms t 2 .0 s a? Question 1 Starting from rest, Jacob accelerates to a velocity of 4.6 m/s [E] in 2.0 s. (a) What was Jacob's acceleration? v1 0 m s v2 4.6 ms t 2 .0 s a? v2 v1 a t 4.6 ms 0 ms a 2.0 s a 2.3 sm2 Question 1 Starting from rest, Jacob accelerates to a velocity of 4.6 m/s [E] in 2.0 s. (a) What was Jacob's acceleration? v1 0 m s v2 4.6 ms t 2 .0 s a? v2 v1 a t 4.6 ms 0 ms a 2.0 s a 2.3 sm2 Question 1 Starting from rest, Jacob accelerates to a velocity of 4.6 m/s [E] in 2.0 s. (a) What was Jacob's acceleration? v1 0 m s v2 4.6 ms t 2 .0 s a? v2 v1 a t 4.6 ms 0 ms a 2.0 s a 2.3 sm2 Question 1 Starting from rest, Jacob accelerates to a velocity of 4.6 m/s [E] in 2.0 s. (a) What was Jacob's acceleration? v1 0 m s v2 4.6 ms t 2 .0 s a? v2 v1 a t 4.6 ms 0 ms a 2.0 s a 2.3 sm2 [ East ] Question 1 (b) What was the distance Jacob travelled while accelerating? v1 0 ms v2 4.6 ms t 2 .0 s d ? Question 1 (b) What was the distance Jacob travelled while accelerating? v1 v2 d 2 t 0 ms 4.6 ms v1 0 ms d 2 2.0 s v2 4.6 ms t 2 .0 s d ? d 2.3 2.0 s m s 4.6 m d Question 1 (b) What was the distance Jacob travelled while accelerating? v1 v2 d 2 t 0 ms 4.6 ms v1 0 ms d 2 2.0 s v2 4.6 ms t 2 .0 s d ? d 2.3 2.0 s m s 4.6 m d Question 2 Dalton pushes a crate of weight 320 N across a horizontal floor with a force of 110 N. The coefficient of kinetic friction between the crate and the floor is 0.30. (a) What is the magnitude of the frictional force acting on the crate? Fg 320 N FA 110 N 0.30 Ff ? Question 2 Dalton pushes a crate of weight 320 N across a horizontal floor with a force of 110 N. The coefficient of kinetic friction between the crate and the floor is 0.30. (a) What is the magnitude of the frictional force acting on the crate? Fg 320 N Ff FN Fg FA 110 N Ff (0.30)(320 N ) 96 N 0.30 Ff ? Question 2 Dalton pushes a crate of weight 320 N across a horizontal floor with a force of 110 N. The coefficient of kinetic friction between the crate and the floor is 0.30. (a) What is the magnitude of the frictional force acting on the crate? Fg 320 N Ff FN Fg FA 110 N Ff (0.30)(320 N ) 96 N 0.30 Ff ? Question 2 Dalton pushes a crate of weight 320 N across a horizontal floor with a force of 110 N. The coefficient of kinetic friction between the crate and the floor is 0.30. (a) What is the magnitude of the frictional force acting on the crate? Fg 320 N Ff FN Fg FA 110 N Ff (0.30)(320 N ) 96 N 0.30 Ff ? Question 2 (b) What is the net force on the crate? Question 2 (b) What is the net force on the crate? Fnet ma ? Question 2 (b) What is the net force on the crate? Fnet ma ? Question 2 (b) What is the net force on the crate? Fnet FA F f Fnet 110 N 96 N Fnet 14 N [ forwards] Question 2 (b) What is the net force on the crate? Fnet FA F f Fnet 110 N 96 N Fnet 14 N [ forwards] Question 3 Eric uses a force of 180 N to push a crate of weight 320 N at constant speed up a ramp with a length of 3.6 m and a rise of 1.2 m. (a) What is the ideal mechanical advantage of the ramp? FE 180 N FL 320 N d E 3.6 m d L 1.2 m Question 3 Eric uses a force of 180 N to push a crate of weight 320 N at constant speed up a ramp with a length of 3.6 m and a rise of 1.2 m. (a) What is the ideal mechanical advantage of the ramp? dE FE 180 N IMA dL FL 320 N 3 .6 m d E 3.6 m IMA 3 1 .2 m d L 1.2 m Question 3 (b) What is the actual mechanical advantage of the ramp? FE 180 N FL 320 N d E 3.6 m d L 1.2 m FL AMA FE 320N AMA 1 .8 180N Question 4 Victoria is trying to lift a crate using a lever as shown below. The crate has a weight of 1650 N and is 1.8 m from the fulcrum. (a) What is the load torque on the lever? Question 4 Victoria is trying to lift a crate using a lever as shown below. The crate has a weight of 1650 N and is 1.8 m from the fulcrum. (a) What is the load torque on the lever? FL 1650 N d L 1.8 m TL ? Question 4 Victoria is trying to lift a crate using a lever as shown below. The crate has a weight of 1650 N and is 1.8 m from the fulcrum. (a) What is the load torque on the lever? FL 1650 N TL FL d L d L 1.8 m TL (1650 N )(1.8 m) 2970 N m TL ? Question 4 (b) If the effort force is applied 3.1 m from the fulcrum, what is its magnitude? FL 1650 N d L 1.8 m d E 3.1 m FE ? Question 4 (b) If the effort force is applied 3.1 m from the fulcrum, what is its magnitude? FL 1650 N d L 1.8 m d E 3.1 m FE ? FL d L FE d E FL d L FE dE FE 1650N 1.8 m 958N 3.1 m or 960N Question 4 (b) If the effort force is applied 3.1 m from the fulcrum, what is its magnitude? FL 1650 N d L 1.8 m d E 3.1 m FE ? FL d L FE d E FL d L FE dE FE 1650N 1.8 m 958N 3.1 m or 960N Question 5 Connor's car brakes exert a force of 12 000 N [backwards] over a distance of 24 m along a level piece of highway. (a) Determine the work done by the brakes. F 12000 N d 24 m W ? Question 5 Connor's car brakes exert a force of 12 000 N [backwards] over a distance of 24 m along a level piece of highway. (a) Determine the work done by the brakes. F 12000 N d 24 m W ? W Fd W 12000 N 24 m 288 000 J Question 5 (b) Is the work in (a) positive or negative? What does this mean? The work done is negative. Question 5 (b) Is the work in (a) positive or negative? What does this mean? The work done is negative. Friction is reducing the energy of the car. Question 6 Brandan drops a 1.5 kg water balloon from a 14 m high roof. (a) What is the gravitational potential energy of the balloon on the roof? m 1.5 kg h 14 m g 9.8 sm2 Eg ? Question 6 Brandan drops a 1.5 kg water balloon from a 14 m high roof. (a) What is the gravitational potential energy of the balloon on the roof? m 1.5 kg h 14 m g 9.8 sm2 Eg ? Question 6 Brandan drops a 1.5 kg water balloon from a 14 m high roof. (a) What is the gravitational potential energy of the balloon on the roof? m 1.5 kg h 14 m g 9.8 sm2 Eg ? E g mgh E g 1.5kg 9.8sm2 14m 205.8J Question 6 (b) What is the speed of the balloon when it hits the ground? E g Ek 205.8 J m 1.5kg v? Question 6 (b) What is the speed of the balloon when it hits the ground? E g Ek 205.8 J m 1.5kg v? 2 Ek Ek mv v m 1 2 2 2205.8J v 16.6 ms 1.5kg Question 7 9-V is supplied to a circuit containing a single light bulb. The current through the circuit is 3.0 A. (a) What is the resistance of the bulb? V 9V I 3.0A R? Question 7 9-V is supplied to a circuit containing a single light bulb. The current through the circuit is 3.0 A. (a) What is the resistance of the bulb? V 9V I 3.0A R? V V IR R I 9V R 3 3.0 A Question 7 9-V is supplied to a circuit containing a single light bulb. The current through the circuit is 3.0 A. (a) What is the resistance of the bulb? V 9V I 3.0A R? V V IR R I 9V R 3 3.0 A Question 7 (b) What is the power consumed by the bulb? V 9V I 3.0A P? Question 7 (b) What is the power consumed by the bulb? V 9V I 3.0A P? P VI P 9 V 3.0 A 27 W Question 8 You have three resistors, each with a resistance of 12-. (a) What is their resistance if the resistors are in series? Question 8 You have three resistors, each with a resistance of 12-. (a) What is their resistance if the resistors are in series? Req 12 12 12 36 Question 8 (b) What is their resistance if the resistors are in parallel? 1 1 1 1 3 1 Req 12 12 12 12 4 Req 4 Question 9 In a manometer filled with water, the difference between the heights of the two columns is 6 cm (0.06 m). (a) What is the gauge pressure on the lower column? Question 9 In a manometer filled with water, the difference between the heights of the two columns is 6 cm (0.06 m). (a) What is the gauge pressure on the lower column? p Dhg p (1000mkg3 )(0.06m)(9.8 sm2 ) 588Pa or 0.588kPa Question 9 In a manometer filled with water, the difference between the heights of the two columns is 6 cm (0.06 m). (a) What is the gauge pressure on the lower column? D 1000 mkg3 p Dhg h 0.06 m p (1000mkg3 )(0.06m)(9.8 sm2 ) 588Pa g 9.8 sm2 P? or 0.588kPa Question 9 In a manometer filled with water, the difference between the heights of the two columns is 6 cm (0.06 m). (a) What is the gauge pressure on the lower column? D 1000 mkg3 p Dhg h 0.06 m p (1000mkg3 )(0.06m)(9.8 sm2 ) 588Pa g 9.8 sm2 P? or 0.588kPa Question 9 In a manometer filled with water, the difference between the heights of the two columns is 6 cm (0.06 m). (a) What is the gauge pressure on the lower column? D 1000 mkg3 p Dhg h 0.06 m p (1000mkg3 )(0.06m)(9.8 sm2 ) 588Pa g 9.8 sm2 P? or 0.588 kPa Question 9 (b) What is the absolute pressure on the lower column? p abs p g patm pabs 0.588 kPa 101.3 kPa pabs 101.888 kPa or 101.9 kPa Question 10 In a hydraulic press, the master cylinder with an area of 0.04 m2 applies a force of magnitude 110 N. (a) What is the pressure applied by the master cylinder? A 0.04 m F 110 N P? 2 F P A 110N P 2750 Pa 2 0.04 m Question 10 In a hydraulic press, the master cylinder with an area of 0.04 m2 applies a force of magnitude 110 N. (a) What is the pressure applied by the master cylinder? A 0.04 m F 110 N P? 2 F P A 110N P 2750 Pa 2 0.04 m Question 10 (a) What is the magnitude of the force on the slave cylinder if it has an area of 0.24 m2? As 0.04 m 2 Fs 110 N AL 0.24 m FL ? 2 Question 10 (a) What is the magnitude of the force on the slave cylinder if it has an area of 0.24 m2? As 0.04 m 2 Fs 110 N AL 0.24 m FL ? 2 Fs FL Fs FL AL AL As As 110N 2 FL 0.24 m 660N 2 0.04 m Question 10 (a) What is the magnitude of the force on the slave cylinder if it has an area of 0.24 m2? As 0.04 m 2 Fs 110 N AL 0.24 m FL ? 2 Fs FL Fs FL AL AL As As 110N 2 FL 0.24 m 660N 2 0.04 m