Physics
問題一覧
1
(CE Board November 2018) Determine the percent uncertainty in the area of a square that is 6.08 ± 0.01 m on a side.
0.27%
2
What is the percent uncertainty in the measurement 3.76 ± 0.25 m?
6.6%
3
The graph shown below represents the motion of a car
over a period of 10 s.
+1.5 m/s2, -0.75 m/s2, 0 m/s2
4
Use the graphical analysis to determine the distance traveled during the 10 s of motion.
35 m
5
A 4.00 kg box is placed on the floor at the edge of a merry-go-round of radius 3.00 m. The coefficient of static friction between the box and the floor is 0.200. The merry-go-round acceleratesfrom rest and eventually slides off the edge. Determine the speed at which it occurs.
2.42
6
A student whirls a bucket of water in a vertical circle of
radius 0.80 m. Determine the minimum speed required for the bucket to completely negotiate the top of the loop without water spilling out of the bucket.
2.80
7
A student whirls a bucket of water in a vertical circle of
radius 0.80 m. Determine the frequency of rotation required for the bucket to completely negotiate the top of the loop without water spilling out
of the bucket
34 rpm
8
Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 3600 km. Use mEarth = 5.97 x 1024 kg, rEarth = 6.38 x 106 m.
14,100 mph
9
(CE Board November 2022) The mean distance from the Earth to the Sun is 1.496 x 108 km and the period of its motion about the Sun is 1.00 year. The period of Jupiter’s motion about the Sun is observed to be 11.86 years. Determine the mean distance from the Sun to Jupiter.
Hint: Use Kepler’s third law. T12/T22 = r13/r23
7.8
10
A student exerts a horizontal force of 20 N with her hand and pushes a 10 kg box a distance of 2 m across a frictionless floor. Calculate the velocity of the box at the 2 m mark.
2.83
11
A 5.00 kg box is pushed from the top of an incline and
travels down the incline with an initial speed of 10.0 m/s. The incline is 5.00 m long and the angle of inclination is 30.0°. The coefficient of friction between the box and the incline is 0.200. (CE Board November 2021) Determine the loss of potential energy.
123 J
12
A 5.00 kg box is pushed from the top of an incline and
travels down the incline with an initial speed of 10.0 m/s. The incline is 5.00 m long and the angle of inclination is 30.0°. The coefficient of friction between the box and the incline is 0.200. Determine the work done by friction.
42.5 J
13
A 5.00 kg box is pushed from the top of an incline and
travels down the incline with an initial speed of 10.0 m/s. The incline is 5.00 m long and the angle of inclination is 30.0°. The coefficient of friction between the box and the incline is 0.200. Use the work-energy principle to determine the velocity of the box at the bottom of the incline
11.5 m/s
14
The machine shown in the diagram consists of two
wheels that move together and are mounted on the same axle. The radii of the wheels are 0.10 m and 0.20 m, respectively. A 300 N force must be applied at F in order to raise 400 N at W. Determine IMA.
2
15
The machine shown in the diagram consists of two
wheels that move together and are mounted on the same axle. The radii of the wheels are 0.10 m and 0.20 m, respectively. A 300 N force must be applied at F in order to raise 400 N at W. Determine the AMA.
1.3
16
The machine shown in the diagram consists of two
wheels that move together and are mounted on the same axle. The radii of the wheels are 0.10 m and 0.20 m, respectively. A 300 N force must be applied at F in order to raise 400 N at W. Determine the efficiency of the machine.
65%
17
An elastic cord vibrates with a frequency of 3.0 Hz when a mass of 0.60 kg is hung from it. What will its frequency be if only 0.38 kg hangs from it?
3.3 Hz
18
At t = 0, a 755-g mass at rest on the end of a horizontal spring (k = 124 N/m) is struck by a hammer, which gives the mass an initial speed of 2.96 m/s. Determine the period of the motion.
0.490 s
19
A cord of mass 0.65 kg is stretched between two supports 30 m apart. If the tension in the cord is 150 N, how long will it take a pulse to travel from on support to the other?
Hint: 𝑣 = [𝐹𝑇 /(𝑚/𝐿)]𝟏/𝟐
0.36 s
20
A 35 g glass thermometer reads 21.6°C before it I placed in 135 ml of water. When the water and thermometer come to
equilibrium, the thermometer reads 39.2°C. What was the original temperature of the water? For glass, c = 0.200 kcal/kg-°C. For water, c = 1.00 kcal/kg-°C.
Hint: 𝑄 = 𝑚𝑐∆𝑇
40.1
21
A mountain climber wears a goose down jacket 3.5 cm thick with a total surface area of 1.2 m2. The temperature at the surface of the clothing is -20°C and at the skin is 34°C. Determine the rate of heat flow by conduction through the clothing assuming that it is dry and the thermal conductivity, k (0.025 J/s-m-°C), is that of
down.
Hint: ∆𝑄 ∆𝑡⁄ = 𝑘𝐴(𝑇 1− 𝑇 2) ℓ ⁄
46 W
22
A Carnot engine takes in 3000 calories of input heat and rejects 2000 calories as waste heat. The temperature of the waste heat is 600°C. Determine the efficiency.
33.3%
23
A ray of light strikes the surface of a flat glass plate at an
incident angle of 30°. The index of refraction of air and glass are 1.00 and 1.50. Determine the angle of reflection.
30 deg
24
A ray of light strikes the surface of a flat glass plate at an
incident angle of 30°. The index of refraction of air and glass are 1.00 and 1.50. Determine the angle of refraction.
19 deg
25
A ray of light strikes the surface of a flat glass plate at an
incident angle of 30°. The index of refraction of air and glass are 1.00 and 1.50. Determine the critical angle for light passing from diamond into air. The index of refraction for each substance is as follows: diamond 2.42, air 1.00
24 deg
26
400 ml of hot coffee at 60°C is placed in a closed
styrofoam cup which is 1.50 mm thick and surface area 850 cm2. The day is windy and the air outside the cup remains at a constant temperature of 20°C. The thermal conductivity of Styrofoam is k = 5.5 x 10-6 kcal/s-°C. Assume that 400 ml of coffee has a mass of 0.400 kg
and that specific heat of coffee is the same as that of water (c = 1.0 kcal/kg-°C). Determine the initial rate of heat flow through the styrofoam.
Hint: ∆𝑄 ∆𝑡 = 𝑘𝐴(𝑇 1− 𝑇 2) ℓ ⁄
1.25 W
27
400 ml of hot coffee at 60°C is placed in a closed
styrofoam cup which is 1.50 mm thick and surface area 850 cm2. The day is windy and the air outside the cup remains at a constant temperature of 20°C. The thermal conductivity of Styrofoam is k = 5.5 x 10-6 kcal/s-°C. Assume that 400 ml of coffee has a mass of 0.400 kg
and that specific heat of coffee is the same as that of water (c = 1.0 kcal/kg-°C). Determine the time required for the temperature of the coffee to cool from 60°C to 50°C.
53.3 mins
28
Two loud speakers are 1.80 m apart. A person stands
3.00 m from one speaker and 3.50 m from the other speaker. Let T = 20°C.
343 Hz
29
Two loud speakers are 1.80 m apart. A person stands
3.00 m from one speaker and 3.50 m from the other speaker. Let T = 20°C. two other frequencies that also result in destructive interference at this point (give the next two highest)
1030 Hz and 1720 Hz
30
An ideal gas occupies a volume of 1.50 liters at 303 K and gauge pressure of 1.00 atm. The gas is heated until its volume is 2.50 liters and gauge pressure is 1.20 atm. Determine the number of moles contained in the gas.
Hint: 𝑃𝑉 = 𝑛𝑅T
0.121
PORTS AND HARBORS
PORTS AND HARBORS
ユーザ名非公開 · 22問 · 1年前PORTS AND HARBORS
PORTS AND HARBORS
22問 • 1年前ユーザ名非公開
TRANSPORTATION AND HIGHWAY
TRANSPORTATION AND HIGHWAY
ユーザ名非公開 · 14問 · 1年前TRANSPORTATION AND HIGHWAY
TRANSPORTATION AND HIGHWAY
14問 • 1年前ユーザ名非公開
STANDARD COLOR SIGNS
STANDARD COLOR SIGNS
ユーザ名非公開 · 24問 · 1年前STANDARD COLOR SIGNS
STANDARD COLOR SIGNS
24問 • 1年前ユーザ名非公開
GEOMETRICAL SHAPES OF WARNING SIGNS
GEOMETRICAL SHAPES OF WARNING SIGNS
ユーザ名非公開 · 16問 · 1年前GEOMETRICAL SHAPES OF WARNING SIGNS
GEOMETRICAL SHAPES OF WARNING SIGNS
16問 • 1年前ユーザ名非公開
CONSTRUCTION OCCUPATIONAL SAFETY AND HEALTH
CONSTRUCTION OCCUPATIONAL SAFETY AND HEALTH
ユーザ名非公開 · 10問 · 1年前CONSTRUCTION OCCUPATIONAL SAFETY AND HEALTH
CONSTRUCTION OCCUPATIONAL SAFETY AND HEALTH
10問 • 1年前ユーザ名非公開
Hge terms
Hge terms
ユーザ名非公開 · 60問 · 1年前Hge terms
Hge terms
60問 • 1年前ユーザ名非公開
HGE (2010-2024)
HGE (2010-2024)
ユーザ名非公開 · 64問 · 1年前HGE (2010-2024)
HGE (2010-2024)
64問 • 1年前ユーザ名非公開
Mathematical Bafflers
Mathematical Bafflers
ユーザ名非公開 · 29問 · 1年前Mathematical Bafflers
Mathematical Bafflers
29問 • 1年前ユーザ名非公開
terms
terms
ユーザ名非公開 · 18問 · 1年前terms
terms
18問 • 1年前ユーザ名非公開
問題一覧
1
(CE Board November 2018) Determine the percent uncertainty in the area of a square that is 6.08 ± 0.01 m on a side.
0.27%
2
What is the percent uncertainty in the measurement 3.76 ± 0.25 m?
6.6%
3
The graph shown below represents the motion of a car
over a period of 10 s.
+1.5 m/s2, -0.75 m/s2, 0 m/s2
4
Use the graphical analysis to determine the distance traveled during the 10 s of motion.
35 m
5
A 4.00 kg box is placed on the floor at the edge of a merry-go-round of radius 3.00 m. The coefficient of static friction between the box and the floor is 0.200. The merry-go-round acceleratesfrom rest and eventually slides off the edge. Determine the speed at which it occurs.
2.42
6
A student whirls a bucket of water in a vertical circle of
radius 0.80 m. Determine the minimum speed required for the bucket to completely negotiate the top of the loop without water spilling out of the bucket.
2.80
7
A student whirls a bucket of water in a vertical circle of
radius 0.80 m. Determine the frequency of rotation required for the bucket to completely negotiate the top of the loop without water spilling out
of the bucket
34 rpm
8
Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 3600 km. Use mEarth = 5.97 x 1024 kg, rEarth = 6.38 x 106 m.
14,100 mph
9
(CE Board November 2022) The mean distance from the Earth to the Sun is 1.496 x 108 km and the period of its motion about the Sun is 1.00 year. The period of Jupiter’s motion about the Sun is observed to be 11.86 years. Determine the mean distance from the Sun to Jupiter.
Hint: Use Kepler’s third law. T12/T22 = r13/r23
7.8
10
A student exerts a horizontal force of 20 N with her hand and pushes a 10 kg box a distance of 2 m across a frictionless floor. Calculate the velocity of the box at the 2 m mark.
2.83
11
A 5.00 kg box is pushed from the top of an incline and
travels down the incline with an initial speed of 10.0 m/s. The incline is 5.00 m long and the angle of inclination is 30.0°. The coefficient of friction between the box and the incline is 0.200. (CE Board November 2021) Determine the loss of potential energy.
123 J
12
A 5.00 kg box is pushed from the top of an incline and
travels down the incline with an initial speed of 10.0 m/s. The incline is 5.00 m long and the angle of inclination is 30.0°. The coefficient of friction between the box and the incline is 0.200. Determine the work done by friction.
42.5 J
13
A 5.00 kg box is pushed from the top of an incline and
travels down the incline with an initial speed of 10.0 m/s. The incline is 5.00 m long and the angle of inclination is 30.0°. The coefficient of friction between the box and the incline is 0.200. Use the work-energy principle to determine the velocity of the box at the bottom of the incline
11.5 m/s
14
The machine shown in the diagram consists of two
wheels that move together and are mounted on the same axle. The radii of the wheels are 0.10 m and 0.20 m, respectively. A 300 N force must be applied at F in order to raise 400 N at W. Determine IMA.
2
15
The machine shown in the diagram consists of two
wheels that move together and are mounted on the same axle. The radii of the wheels are 0.10 m and 0.20 m, respectively. A 300 N force must be applied at F in order to raise 400 N at W. Determine the AMA.
1.3
16
The machine shown in the diagram consists of two
wheels that move together and are mounted on the same axle. The radii of the wheels are 0.10 m and 0.20 m, respectively. A 300 N force must be applied at F in order to raise 400 N at W. Determine the efficiency of the machine.
65%
17
An elastic cord vibrates with a frequency of 3.0 Hz when a mass of 0.60 kg is hung from it. What will its frequency be if only 0.38 kg hangs from it?
3.3 Hz
18
At t = 0, a 755-g mass at rest on the end of a horizontal spring (k = 124 N/m) is struck by a hammer, which gives the mass an initial speed of 2.96 m/s. Determine the period of the motion.
0.490 s
19
A cord of mass 0.65 kg is stretched between two supports 30 m apart. If the tension in the cord is 150 N, how long will it take a pulse to travel from on support to the other?
Hint: 𝑣 = [𝐹𝑇 /(𝑚/𝐿)]𝟏/𝟐
0.36 s
20
A 35 g glass thermometer reads 21.6°C before it I placed in 135 ml of water. When the water and thermometer come to
equilibrium, the thermometer reads 39.2°C. What was the original temperature of the water? For glass, c = 0.200 kcal/kg-°C. For water, c = 1.00 kcal/kg-°C.
Hint: 𝑄 = 𝑚𝑐∆𝑇
40.1
21
A mountain climber wears a goose down jacket 3.5 cm thick with a total surface area of 1.2 m2. The temperature at the surface of the clothing is -20°C and at the skin is 34°C. Determine the rate of heat flow by conduction through the clothing assuming that it is dry and the thermal conductivity, k (0.025 J/s-m-°C), is that of
down.
Hint: ∆𝑄 ∆𝑡⁄ = 𝑘𝐴(𝑇 1− 𝑇 2) ℓ ⁄
46 W
22
A Carnot engine takes in 3000 calories of input heat and rejects 2000 calories as waste heat. The temperature of the waste heat is 600°C. Determine the efficiency.
33.3%
23
A ray of light strikes the surface of a flat glass plate at an
incident angle of 30°. The index of refraction of air and glass are 1.00 and 1.50. Determine the angle of reflection.
30 deg
24
A ray of light strikes the surface of a flat glass plate at an
incident angle of 30°. The index of refraction of air and glass are 1.00 and 1.50. Determine the angle of refraction.
19 deg
25
A ray of light strikes the surface of a flat glass plate at an
incident angle of 30°. The index of refraction of air and glass are 1.00 and 1.50. Determine the critical angle for light passing from diamond into air. The index of refraction for each substance is as follows: diamond 2.42, air 1.00
24 deg
26
400 ml of hot coffee at 60°C is placed in a closed
styrofoam cup which is 1.50 mm thick and surface area 850 cm2. The day is windy and the air outside the cup remains at a constant temperature of 20°C. The thermal conductivity of Styrofoam is k = 5.5 x 10-6 kcal/s-°C. Assume that 400 ml of coffee has a mass of 0.400 kg
and that specific heat of coffee is the same as that of water (c = 1.0 kcal/kg-°C). Determine the initial rate of heat flow through the styrofoam.
Hint: ∆𝑄 ∆𝑡 = 𝑘𝐴(𝑇 1− 𝑇 2) ℓ ⁄
1.25 W
27
400 ml of hot coffee at 60°C is placed in a closed
styrofoam cup which is 1.50 mm thick and surface area 850 cm2. The day is windy and the air outside the cup remains at a constant temperature of 20°C. The thermal conductivity of Styrofoam is k = 5.5 x 10-6 kcal/s-°C. Assume that 400 ml of coffee has a mass of 0.400 kg
and that specific heat of coffee is the same as that of water (c = 1.0 kcal/kg-°C). Determine the time required for the temperature of the coffee to cool from 60°C to 50°C.
53.3 mins
28
Two loud speakers are 1.80 m apart. A person stands
3.00 m from one speaker and 3.50 m from the other speaker. Let T = 20°C.
343 Hz
29
Two loud speakers are 1.80 m apart. A person stands
3.00 m from one speaker and 3.50 m from the other speaker. Let T = 20°C. two other frequencies that also result in destructive interference at this point (give the next two highest)
1030 Hz and 1720 Hz
30
An ideal gas occupies a volume of 1.50 liters at 303 K and gauge pressure of 1.00 atm. The gas is heated until its volume is 2.50 liters and gauge pressure is 1.20 atm. Determine the number of moles contained in the gas.
Hint: 𝑃𝑉 = 𝑛𝑅T
0.121