MSTC 3 PHYSICS, SURVEYING, & TRANSPO
A stone is thrown vertically downward with an initial speed of 9.80 m/s from the top of a building 29.4 m high. Determine the velocity of the stone just before it strikes the ground
25.9
A hockey puck of mass 0.50 kg travelling at 10 8. m/s on a horizontal surface slows to 2.0 m/s over a distance of 80 m. Determine the coefficient of kinetic friction between the puck and the surface
0.061
On December 24, 1968, the Apollo Bill commandmodule became the first manned vehicle to gointo orbit above the surface of the Moon.Assuming that the orbit was approximatelycircular and the vehicle was 110 km above thelunar surface, determine the period of the motion.Hint: mMoon = 7.4 * 10 ^ 22 * k , r Mocn =1.74*10^ 6 n
1.97 hrs
A 1.00 kg wooden block is on a lever board and held against a spring of force constant 30.0 N/m which has been compressed 0.200 m. The block is released and propelled horizontally across the board. The coefficient of friction between the block and the board is 0.20. Determine the distance that the block travels after it leaves the spring. Assume that friction between the block and board is negligible until the point where the block leaves the spring
0.309
A 2.0 kg object travelling at 1.0 m/s collied head- on with a 1.0 kg object initially at rest. Determine the velocity of each object after the impact if the collision is perfectly elastic.
1/3 m/s; 4/3 m/s
A wheel 1.00 m in radius is rotating at 100 rad/s. The wheel accelerates uniformly from 100 rad/s to 500 rad/s in 100 revolutions. Determine the radial acceleration of a point on the rim before the acceleration begins.
191 m/s²
A metal wire 0.50 m long and 1 * 10 - 2 metersin diameter stretches 9.2 * 10 ^ - 4 m when a load of10.0 kg is attached at the end. Determine the elastic modulus for the material of the wire.
1.95 x 109 N/m²
A vertically hung spring stretches 0.300 m when a 1.00 kg object is attached to the end. The object is then displaced 0.120 m from the equilibrium position and released. After release, the object exhibits SHM. Determine the object's speed when it is 0.0700 m from equilibrium.
0.557 m/s
A simple pendulum is used in a physicslaboratory experiment to obtain an experimentalvalue for the gravitational acceleration. Aparticular student measures the length of thependulum to be 0.600 m, displaces it 10.0° fromthe equilibrium position, and releases it. Using astopwatch, the student determines that the periodof the pendulum is 1.55 s. Determine theexperimental value of tho gravitationalacceleration.
Hint: T = 2pi * (L / g) ^ (1/2)
9.85 m/s²
When the tension is adjusted to 20.0 N, a 60.0 Hzvibration will produce a third harmonic standingwave in a string 0.250 m long. Determine thevelocity of the waves in the string.Hint: ½ λ= 1/3 L and v = f*lambda
10.0 m/s
What would be the sound level (indB) of a soundwave in air that corresponds to a displacementamplitude of vibrating air molecules of 0.13 mmat 300 Hz? Use v = 343m / s ; rho = 1.29kg / (m ^ 3)
Hint: 1 = 2Pi ^ 2 * v*rho * f ^ 2 * x_{c}beta =10 log (l/lo) where I_{o} = 1 * 10 ^ - 12 * W / (m ^ 2)
130 dB
In outer space the density of matter is about 1atom per cm³, mainly hydrogen atoms, and thetemperature is about 2.7 K. Calculate the rmsspeed of these hydrogen atoms. Use Mydrogen=1.66 * 10 ^ - 27 kg; k = 1.38 * 10 ^ - 23 * J / K
Hint: / m v ^ 7 = 3/2 * kT
2.6 x 102 m/s
A 0.0100 kg lead bullet moving at 100 m/s imbedsitself in a large block of wood. All of the kineticenergy lost by the lead bullet is transferred intoheat which is shared equally by the bullet and theblock of wood. Determine the temperaturechange of the bullet. The specific heat of lead is0.0310 kcal/kg°C.
Hint Q = - Delta * K and Q = mc*Delta*T
19.3 C
A mountain climber wears a goose down jacket3.5 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 rateof heat flow by conduction through the clothingassuming that it is dry and the thermalconductivity, k, is that of down.Use k = 0.025 J/s m C°
Hint: &Q/At kA (T1-T2YE
46 W
How much energy must be added to a 0.200 kgice cube at 0.00°C in order to change it to waterat 0.00°C. Use l_{F} = 80 kcal/kgHint: Q = m*l_{F}
6.69 x 104 J
Assume that a line is observed in three sections, with the individual parts equal to (753.81, 10.012), (1238.40, ±0.028), and (1062.95, ±0.020) ft, respectively. Determine the line's total length and its anticipated standard deviation.
± 0.036 ft
Suppose it is required to tape a length of 2500 ft with an error of not more than 10.10 ft. How accurately must each tape length be observed?
plus/minus 0.02 * ft
Assume the observed angles of a certain planetriangle, and their relative weights, are A =49 deg * 51' 15^ prime prime W_{a} = 1 ; B= 60 deg * 32' 08^ prime prime W_{b} = 2 and C= 9 deg * 30' 33^ prime prime W_{c} = 3 . Compute the weighted mean
49'51"17"
The slope distance and zenith angle betweenpoints A and B were observed with a total stationinstrument 9585.26 ft and 98 deg * 19' 06^ prime prime as respectively. The hi and rod reading r were equal.Compute the elevation difference from this end ofthe line. Hint: h_{t} = 0.0206ft
-1384.88 ft
Assume the magnetic bearing of a property linewas recorded as S43°30'E in 1862. At that timethe magnetic declination at the survey locationwas 3 deg * 15' * W What geodetic bearing is needed fora subdivision property plan?
S46'45"E
A zenith angle was read twice direct giving valuesof 70 deg * 0' 10^ prime prime and 70 deg * 0' 12^ prime prime and twice reverseyielding readings of 289 deg * 59' 44^ prime prime and 289 deg * 59' 42^ prime primeWhat is the mean zenith angle?
Hint: zo = Σzo/n + [n(360°)-(Σzo+ZZR)]/2n
70'00"14"
APQDEA is a parcel of land that must be surveyed, but because of obstructions, traverse stations cannot be set at P and Q. Therefore offset stations B and C are set nearby, and closed traverse ABCDE run. Lengths and azimuths oflines BP and CQ are observed as 42.50 ft, 354°50'00" and 34.62 ft, 26°39'54", respectively. Following procedures demonstrated in earlier examples, traverse ABCDEA was computed and adjusted, and coordinates were determined for all stations. They are given in the following table.
Point
X (ft)
Y (ft)
A
1000.00
1000.00
B 1290.65 1407.48
28
C D
1527.36
1322.10
1585.70
1017.22
E
1464.01
688.25
273.79
Stations A and B have elevations of 298.65 and301.53 ft, respectively, and the instrumentheights at A and B are h*i_{A} = 5.55 and h*i_{B} = 5.48ft. The other field observations are
AB = 136.45ftA= 44 deg * 12' 34^ prime prime
B= 39 deg * 26' 56^ prime prime
What is the elevation of the chimney stack?
316.79 ft
Calculate the area within the traverse.
Course
Departure 517.44
Latitude
AB
-388.84
5.96
-202.95
CD
192.88 -590.57
694.02
30.
BC
MD
DE
153.69
EA
-125.72
-255.93
6.258 acres
The tangent of a horizontal curve is parallel to a railroad line 150 ft away. The two curve tangents intersect at sta 182+27.52. Other information: Radius of curve = 1200 ft
Angle of intersection of tangents = 55°30'
Determine the station of PT.
187+58.56
A falling grade of 4% meets a rising grade of 5% in a sag curve. At the start of the curve, the elevation is 123.06 ft at sta 4034+20. At sta 4040+20, there is an overpass with an underside elevation of 134.06 ft. If the curve is designed to afford a clearance of 15 ft under the overpass, calculate the required length.
8.1 sta
Use the compass rule to balance and adjust (to the nearest 0.1) the departure of leg BCleg
bearing
length
AB N
500
07.48
522.10
BC
N 45.00°E
848.6
017.22
CD
S69.45°E
854.4
38.25
DE
S 11.32°E
1019.8
-line PQ.
EF
S 79.70°W
1118.0
77.79 X
FA
N 54.10°W
656.8
605.4
One lane of a two-lane highway was observed for an hour during the day. The following data were gathered.
average distance between front 80 ft
bumpers of successive cars
average mean speed during
30 mph the study
space mean speed 29 mph What is the average headway?
1.88 sec/veh
Four intersections have been evaluated using prior years' accident data. Rank the intersections in order of highest to lowest needbfor improvement.
C, A, D, B
The specific gravity of a voidless mixture (i.e., the maximum theoretical specific gravity) of an asphalt concrete is 2.550. The components are specified as follows.What is the asphalt absorption?
2.18%
How much would the VMA of the mixture change if the weight of the asphalt were increased by 2%
0.1% increase
A concrete mixture is made up of materials with the following properties.
bulk specific gravity (oven dry)
absolute volume fraction
absorption (%)
material
sand
0.25
2.60
1.0
gravel
0.50
2.70
1.5
cement
0.10
3.15
water
0.15
What is the gravimetric water-cement ratio?
0.5:1
If the moisture content of the sand is 3.0%, what is the weight of free water in the sand used for a 1 ft³ batch?
0.8 lbf excess
If the moisture content is 0.5%, what is the weight of free water in the gravel for a 1 ft³ batch?
0.8 lbf deficit