Physics Worksheet - Solving Equations
Part 1 Math Equations
1) 3 = 5 + x
2) 6 = -2x + 4
3) 4 – 5x = 14
4)
5)
6)
Part 2 Physics Equations
Ep = 1225, g = 9.8, h = 305, find m
d=10.0, vi= 5.0, t=2.0, find vf
v = 2.0, df = 25, di = 10, tf = 12.5, find ti
d = 12, t = 2.1, a = -4.3, find vi
vf2 = vi2 + 2ad vf = 13.7, a = -2.25, d = 154, find vi
Ek = 126, v = 22.35, find m
Ek = 1012, m =12 , find v
G = 6.67 x 10-11, m1 = 3.45 x 1016, m2 = 1.34 x 107, Fg = 1.26 x 104, find r
These next ones are hard – try them for a challenge!
L = 13.0, v = 2.1 x 108, c = 3.0 x 108, find L0
m = 2.5 x 106, m0 = 2.2 x 106, c = 3.0 x 108, find v
N1sinq1 = N2sinq2 N1 = 1.35, N2 = 1.04, q1 = 24, find q2
Physics 11 Worksheet - Solving Equations (V3)
Part 1 Math Equations
1) 3 = 5 + x
2) 6 = -2x + 4
3) 4 – 5x = 14
4)
5)
6)
Part 2 Physics Equations
Ep = 1225, g = 9.8, h = 305, find m
d=10.0, vi= 5.0, t=2.0, find vf
v = 2.0, df = 25, di = 10, tf = 12.5, find ti
d = 12, t = 2.1, a = -4.3, find vi
vf2 = vi2 + 2ad vf = 13.7, a = -2.25, d = 154, find vi
Ek = 126, v = 22.35, find m
Ek = 1012, m =12 , find v
G = 6.67 x 10-11, m1 = 3.45 x 1016, m2 = 1.34 x 107, Fg = 1.26 x 104, find r
These next ones are hard – try them for a challenge!
L = 13.0, v = 2.1 x 108, c = 3.0 x 108, find L0
m = 2.5 x 106, m0 = 2.2 x 106, c = 3.0 x 108, find v
N1sinq1 = N2sinq2 N1 = 1.35, N2 = 1.04, q1 = 24, find q2
Physics 11 Worksheet - Solving Equations (V3)
Part 1 Math Equations
1) 3 = 5 + x
2) 6 = -2x + 4
3) 4 – 5x = 14
4)
5)
6)
Part 2 Physics Equations
Ep = 1225, g = 9.8, h = 305, find m
d=10.0, vi= 5.0, t=2.0, find vf
v = 2.0, df = 25, di = 10, tf = 12.5, find ti
d = 12, t = 2.1, a = -4.3, find vi
vf2 = vi2 + 2ad vf = 13.7, a = -2.25, d = 154, find vi
Ek = 126, v = 22.35, find m
Ek = 1012, m =12 , find v
G = 6.67 x 10-11, m1 = 3.45 x 1016, m2 = 1.34 x 107, Fg = 1.26 x 104, find r
These next ones are hard – try them for a challenge!
L = 13.0, v = 2.1 x 108, c = 3.0 x 108, find L0
m = 2.5 x 106, m0 = 2.2 x 106, c = 3.0 x 108, find v
N1sinq1 = N2sinq2 N1 = 1.35, N2 = 1.04, q1 = 24, find q2
Physics 11
Basic Skills Worksheet (V2)
Convert the following to scientific notation in standard form
1) 43126 1)_________
2) .0042 2)_________
3) -700000 3)_________
4) -.0000150 4)_________
5) .0075 x 103 5)_________
6) 970 x 10-4 6)_________
7) -.000516 x 10-5 7)_________
Round the following to the number of figures shown and convert to scientific notation in standard form
8) 634000 round to 2 figures 8)________
9) .0345 round to 2 figures 9)________
10) 298.76 x 10-4 round to 1 figure 10)________
11) 8.651 round to 2 figures 11)________
Unit conversions
12) 3500 mm into km 12)_____________
13) 22.3 metres/second into km/hr 13)_____________
14) 257 m3 into km3 14)_____________
Indicate the number of significant figures in the number given
15) 32100.0 15)________
16) .00123 16)________
17) .20040 17)________
18) 7330.0 18)________
19) 3200 kilometres 19)________
20) 125 physics students 20)________
21) .0300 21)________
Evaluate the following and use the correct number of significant figures in your answer
22) 22.5 x 3456 21)_____________
23) 22)_____________
24) 23)_____________
25) 9.02 + 4.5784 + 6.2 24)_____________
26) 2301 + 834 + 3.5 x 103 25)_____________
27) 26)_____________
28) (1.75)2 27)_____________
29) Graphing
Graph the following data on the graph below:
| X | 1.2 | 2.2 | 3.3 | 4.2 | 5.3 | 6.2 | 7.4 |
| Y | 3.5 | 4.4 | 5.6 | 6.4 | 7.3 | 8.3 | 9.2 |
a) Draw a slope triangle on the graph, and use it to determine the slope of the line from the graph
b) Estimate the y-intercept of the graph, and combine it with the slope to determine the equation of the line. Your answer should look like this: y=mx+b - write in your values for m and b.
Physics 11
Velocity/Speed Worksheet
1. A car is observed to travel 133m in 4.5 seconds.
a) What is its speed in m/s?
b) What is its speed in km/h?
c) How long would it take this car to travel 35 km?
2. Given the following graph of the motion of a sailboat find: (1 mark each)
a) the sailboat’s speed at t = 0.8 hour ____________
b) the sailboat’s speed at t = 2.5 hours ____________
c) the sailboat’s velocity at t = 2.5 hours ____________
d) average velocity between t = 0.0 and 2.0 hours
____________
e) average velocity between t = 0.0 and 3.0 hours
____________
f) the position of the sailboat at t = 0.50 hours____________
3) Mr. Daniel drives to KSS each morning from Nanaimo . On an average day it takes 33 minutes at an average speed of 85 km/h to arrive at 8:15. How fast must Mr. D drive if he leaves at 7:50 and he wants to still arrive at 8:15?
4) After morning physics class you hop in your car and drive to Woodgrove. It takes you 30 minutes to get there, and your odometer in your car shows you travelled 36 km. After an hour of shopping, you get back in your car and drive back to KSS to attend your afternoon physics class. The journey back takes you 38 minutes because you stop for 6 min at the PetroCan in Nanoose to buy a whole wheat muffin.
a) what was your average speed driving to Woodgrove(km/hr)?
b) what was your average speed driving back from Woodgrove(km/hr)?
c) what was your average speed from the time you left KSS to the time you returned (km/hr)?
d) what was your average velocity for the entire trip (km/hr)?
e) graph this motion on the distance/time graph and velocity/time graphs below
Physics 11 - Constant Acceleration Worksheet (V2)
1. A ball rolling down an incline travels 6.0 cm in the first 0.25 seconds, and 24 cm in the first 0.50 seconds. Find:
a) The average speed for the first quarter second time interval
b) The average speed for the second quarter second time interval.
c) Find its acceleration.
2. A baseball starts from rest and rolls 50.0 m down a hill in 10.0 seconds.
(a) What is the acceleration?
(b) What is the velocity after 10.0 seconds?
3. An object has an in initial velocity of 4.0 m/s and a constant acceleration of 2.0m/s2. How far does it travel in 10.0 seconds?
4. A yard engine shunts a frieght car along a level siding. If the car stops in 50.0 seconds, 250 m from the point where it was released by the engine, calculate the velocity of the car when it was released.
5. An object has an initial forward velocity of 25 m/s and a constant acceleration of –1.5 m/s2. How far does it travel in 5.0 seconds?
6. A BC Fer5y has an acceleration of 0.50 m/s2. If the ferry travels 125m in 20 seconds while accelerating, what was its initial velocity?
7. A rider slows a horse from a 9.5 m/s gallop to a 5.5 m/s canter while traveling a distance of 32m. How much time did this take?
8. A soccer ball rolls to a stop from a speed of 21 m/s with a deceleration of –2.0m/s2. How far does it roll until it stops?
9. A skateboarder rolls down Beach Avenue with an initial velocity of 3.5m/s. If her acceleration is 1.5 m/s2, how long will it take her to reach the bottom 120m away?
10. A cyclist moving with constant velocity of 6.0 m/s forward passes a car that is just starting. If the car has constant acceleration of 2.0 m/s2, where and when will the car overtake the cyclist?
11. An object moves for 3.0 seconds with constant acceleration, during which time it travels 81m. The acceleration ceases, and during the next 3.0 seconds it travels 72m.
a) How would you describe its motion in the last 3.0 seconds?
b) What was the initial velocity before the acceleration?
12. A spacecraft orbiting a planet goes out-of-control and starts falling towards the planet. The spacecraft falls 1200 m in the first 10 seconds, after which the retro-rocket fires and the craft starts to accelerate upwards at 0.5 g (1 g = 9.81 m/s2)
(a) How long after the rocket fires does the craft stop falling?
(b) How much further does the craft fall before stopping?
(c) How many seconds after the rocket fires does the craft reach its original orbit?
13. A car travelling at 60.0 m/s forward slows down to 40 m/s forward. in 2.5 seconds. Assuming that this acceleration continues, how many seconds would it take the car to slow to
(a) 12 m/s forward?
(b) rest?
14. A toy friction car is propelled forward from rest by a girl’s hand which causes it to reach a forward velocity of 3.5 m/s in 0.40 seconds. It is then released and later stops in 5.6 seconds.
(a) What is the acceleration with which the car speeded up?
(b) What is the acceleration with which the car slowed down?
(c) How far did the toy car travel?
15. A model engine accelerates forward from rest along a straight track at 10.0 m/s2 for 3.0 seconds. It then accelerates forward at 16 m/s2 for 5.0 seconds, and finally decelerates at 12 m/s2 until it stops.
(a) Calculate how many seconds the engine was moving.
(b) What was its maximum velocity?
(c) Plot a velocity/time graph of its motion
(d) Find the total distance travelled.
Physics 11 Worksheet - Falling Bodies
1. Wil-E-Coyote drops a bowling ball off a cliff to try to catch the Roadrunner. The cliff is 132m high.
a) How long does it take the ball to fall to the ground?
b) What is its impact velocity?
c) How far does it fall in the first 3.0 seconds?
d) How fast is it going at the end of 3.0 seconds?
e) How far does it travel between a velocity of 12 m/s and 21 m/s?
f) How long would it take the same ball to fall if the cliff was on the moon (g = 1.63 m/s2)
g) If the Roadrunner is approaching the cliff bottom at a constant speed of 65 km/h and is 75m away, what downward velocity should Wil-E give to the ball so that it hits the Roadrunner? (Challenging)
2. A pop-fly ball is hit by Tommy Sosa. The fans time the ball’s flight at 6.7 seconds.
a) How high did the ball get?
b) What was the velocity of the ball when it left the bat?
c) What was the ball’s velocity when it hit the ground (ignore the difference in height between the bat and the ground)
d) What what the ball’s velocity at 4.5 seconds after leaving the bat?
3. You are exploring a newly discovered cave in the Andes in South America. Peering over the edge of a cliff in the cave, you can’t see the bottom. Wondering if you have enough rope to rappel to the ground, you drop a rock off the top, and hear the sound of it hitting the bottom 4.2 seconds later.
a) Find the height of the cliff ignoring the time that the sound takes to travel back to you from the bottom.
b) Find the real height taking into account the speed of sound (340 m/s). (Challenging)
Physics 11 - Momentum/Impulse Worksheet
1. Calculate the momentum of the Titanic (m = 4.2 x 107 kg) moving at 14 knots (1 kt = 1.852 km/h).
2. If the momentum of the NASA space shuttle as it leaves the atmosphere is 3.75 x 108 kgm/s and its mass is 75000 kg, what is its speed?
3. A 59 kg physics student jumps off the back of her Laser sailboat (42kg). After she jumps, the Laser is found to be travelling at 1.5 m/s. What is the speed of the physics student?
4. The same physics student jumps off the back of her Laser again, but this time the Laser is already travelling at 3.1 m/s before she jumps. If the physics student jumps off with a speed of 2.1 m/s, how fast is the Laser going after she jumps?
5. The Titanic hit an iceberg estimated to be half of her mass. Before hitting the iceberg, the Titanic was estimated to be going 22 kts (11.3 m/s). After hitting the iceberg, the Titanic was estimated to be going about 6.0 knots (3.1 m/s). How fast was the iceberg going after the collision? (Assume a head-on collision) (Hint: first find the momentum of the Titanic before the collision. Then write the expression for the total momentum after the collision, which is the sum of the momentum of the Titanic and the momentum of the iceberg. Make the expression equal to the momentum before and solve.)
6. A 59 kg physics student is riding her 220 kg Harley at 12 m/s when she has a head-on collision with a 2.1 kg pigeon flying the opposite direction at 44 m/s. The bird is still on the motorcycle after the collision. How fast is the motorcycle going after the collision?
7. A BC Ferry (m = 13000.0 tonnes) is travelling at 11 m/s when the engines are put in reverse. The engines produces a force of 1.0 x 106 N for a period of 20.0 seconds.
a) What is the magnitude of the impulse from the engine?
b) What is the new momentum of the ferry?
c) What is the new velocity of the ferry?
8. A BC Ferry (m = 13000.0 tonnes) puts its engines in full reverse and stops in 65 seconds. If the speed before braking was 2.0 m/s, what was the braking force supplied by the propellors? Solve using impulse and momentum.
Physics 11 - Work, Power, Energy Worksheet
1. Calculate the work done by a 47 N force pushing a pencil 0.26 m.
2. Calculate the work done by a 47 N force pushing a 0.025 kg pencil 0.25 m against a force of 23 N.
3. Calculate the work done by a 2.4 N force pushing a 400 g sandwich across a table 0.75 m wide.
4. How far can a mother push a 20.0 kg baby carriage, using a force of 62 N, if she can only do 2920 J of work?
5. How much work is it to lift a 20 kg sack of potatoes vertically 6.5 m?
6. If a small motor does 520 J of work to move a toy car 260 m, what force does it exert?
7. A girl pushes her little brother on his sled with a force of 300 N for 750 m. How much work is this if the force of friction acting on the sled is (a) 200 N, (b) 300 N?
8. A 75.0 kg man pushes on a 500,000 t wall for 250 s but it does not move. How much work does he do on the wall?
9. A boy on a bicycle drags a wagon full of newspapers at 0.80 m/s for 30 min using a force of 40 N. How much work has the boy done?
10. What is the gravitational potential energy of a 61.2 kg person standing on the roof of a 10-storey building relative to (a) the tenth floor, (b) the sixth floor, (c) the first floor. (Each storey is 2.50 m high.)
11. A 10 000 kg airplane lands, descending a vertical distance of 10 km while travelling 100 km measured along the ground. What is the plane's loss of potential energy?
12. A coconut falls out of a tree 12.0 m above the ground and hits a bystander 3.00 m tall on the top of the head. It bounces back up 1.50 m before falling to the ground. If the mass of the coconut is 2.00 kg, calculate the potential energy of the coconut relative to the ground at each of the following sites:
(a) while it is still in the tree,
(b) when it hits the bystander on the head,
(c) when it bounces up to its maximum height,
(d) when it lands on the ground,
(e) when it rolls into a groundhog hole, and falls 2.50 m to the bottom of the hole.
13. Calculate the kinetic energy of a 45 g golf ball travelling at: (a) 20 m/s, (b) 40 m/s, (c) 60 m/s.
14. When the speed of an object doubles, does its kinetic energy double? Explain your answer.
15. How fast must a 1000 kg car be moving to have a kinetic energy of: (a) 2.0 x 103 J, (b) 2.0 x 105 J, (c) 1.0 kW.h?
16. How high would you have to lift a 1000 kg car to give it a potential energy of: (a) 2.0 x 103 J, (b) 2.00 x 105 J, (c) 1.00 kW.h?
17. A 50 kg bicyclist on a 10 kg bicycle speeds up from 5.0 m/s to 10 m/s.
(a) What was the total kinetic energy before accelerating?
(b) What was the total kinetic energy after accelerating?
(c) How much work was done to increase the kinetic energy of the bicyclist?
(d) Is it more work to speed up from 0 to 5.0 m/s than from 5.0 to 10.0 m/s?
18. At the moment when a shotputter releases a 5.00 kg shot, the shot is 3.00 m above the ground and travelling at 15.0 m/s. It reaches a maximum height of 8.00 m above the ground and then falls to the ground. If air resistance is negligible,
(a) What was the potential energy of the shot as it left the hand relative to the
ground?
(b) What was the kinetic energy of the shot as it left the hand?
(c) What was the total energy of the shot as it left the hand?
(d) What was the total energy of the shot as it reached its maximum height?
(e) What was the potential energy of the shot at its maximum height?
(f) What was the kinetic energy of the shot at its maximum height?
(g) What was the kinetic energy of the shot just as it struck the ground?
19. A power mower does 9.00 x 105 J of work in 0.500 h. What power does it develop?
20. How long would it take a 500 W electric motor to do 1.50 x 105 J of work?
21. How much work can a 22 kW car engine do in 60 s if it is 100% efficient?
22. A force of 5.0 N moves a 6.0 kg object along a rough floor at a constant speed of 2.5 m/s.
(a) How much work is done in 25 s.?
(b) What power is being used?
(c) What force of friction is acting on the object?
23. How much electrical energy (in kilowatt hours) would a 60.0 W light bulb use in 60.0 days if left on steadily?
24. A 6.0 kg metal ball moving at 4.0 m/s hits a 6.0 kg ball of putty at rest and sticks to it. The two go on at 2.0 m/s.
(a) What is the kinetic energy of the metal ball before it hits?
(b) What is the kinetic energy of the metal ball after it hits?
(c) What is the kinetic energy of the putty ball after being hit?
(d) How much energy does the metal ball lose in the collision?
(e) How much kinetic energy does the putty ball gain in the collision?
(f) What happened to the rest of the energy?
25. A 3.0 kg metal ball, at rest, is hit by a 1.0 kg metal ball moving at 4.0 m/s. The 3.0 kg ball moves forward at 2.0 m/s and the 1.0 kg ball bounces back at 2.0 m/s.
(a) What is the total kinetic energy before the collision?
(b) What is the total kinetic energy after the collision?
(c) How much energy is transferred from the small ball to the large ball?
26. Two balls with the same mass, one of wood and the other a ping-pong ball partly filled with sand, are rolled along a desk. The wooden ball rolls along nicely, but the ping-pong ball stops in a few centimetres. What happened to its kinetic energy? Was the kinetic energy changed to heat energy by the force of friction between the ball and the desk? Explain your answer.
27. How much heat energy is needed to raise the temperature of 50 g of lead by 4.0oC?
28. By how much would 1500 J of heat energy raise the temperature of 0.50 kg of aluminum?
29. What is the specific heat capacity of a material if 2000 J of heat energy can raise the temperature of 10 g of it by 140oC?
30. Suppose that your car has a mass of 1000 kg and is made completely of steel. What temperature change would 1.0 kW.h of heat energy produce in it?
31. A large tank of water in the basement of a solar home measures 4.0 m by 4.0 m by 2.0 m. The density of water is 1000 kg/m3. The temperature of the water is 70oC.
(a) What volume of water can be stored in the tank?
(b) What is the mass of this water?
(c) How much heat energy will be released by the water as it cools from 70oC to room temperature (20oC), in kilowatt hours?
32. A 12 V car battery is found to be capable of storing 2.0 kW.h of electrical energy. For a certain electric car, it is necessary to develop 10 kW of power to drive at 20 km/h.
(a) Suppose that the car has 10 such batteries. How long (in hours) could it run if all 10 of them released all of their energy?
(b) How far (in kilometres) can the car go on its 10 batteries if they are fully charged?
1. A physics student sitting on the beach notices that a wave hits the beach every 5.0 seconds, and the waves seem to be about 15m apart. What is the speed of these waves?
2. What is the frequency of laser light that has a wavelength of 623nm?
3. Out in the ocean, a wave crest 3.2m high meets a wave trough from another direction which is 2.6m deep. How high is the resulting wave?
4. Fill out the following table with the correct name of the wave phenomena:
______________ A wave hits the beach at a 30 degree angle, and a wave is observed leaving the beach at 30 degrees.
______________ A wave enters shallow water and the wavelength decreases
______________ A sailboat seeks shelter behind an island in a storm, but finds that there are still waves behind the island
______________ A fisherman throws his spear directly at a fish seen in the water, but misses.
______________ A student walking beside the E&N railway track notices that the pitch of the train sound increases as the train approaches
______________ A student puts on a pair of sunglasses when snowboarding, and notices that it is now easier to see the moguls.
______________ A laser light shines into a beaker of water. The beam is seen to bend at the point where the light enters the water.
______________ A rogue wave capsizes a small freighter in the North Sea .
5. Ocean waves enter a harbour through two entrances 50m apart. On the seawall which is 200m from the entrances, an observer notices very large waves hitting the wall every 35m. What is the wavelength of these waves?
6. Laser light with a wavelength of 632 nm is put through a diffraction grating where the openings are 0.40 mm apart. How far from the central bright beam will the 3rd bright spot be on the wall 1.0 m away?
7. A beam of light travels from air into diamond at an angle of 35o. What is the angle of refraction of the light in the diamond?
8. Light traveling in water enters an unknown substance at an angle of 43o. The angle of refraction in the unknown substance is 48o. What is the index of refraction of the unknown substance?
9. What is the critical angle for light traveling from diamond into glass (N=1.6)?
10. Light traveling in a space with a wavelength of 710nm enters a plexiglass window on the space station at an angle of 65o. The index of refraction for plexiglass is 1.50
a) What is the frequency of this light in a space?
b) What is the frequency of this light in the plexiglass?
c) What is the speed of the light in plexiglass?
d) What is the wavelength of the light in plexiglass?
e) What is angle of refraction of the light in plexiglass?
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