Midterm 1 Flashcards
50) A train starts from rest and accelerates uniformly until it has traveled 2.1 km and acquired a forward velocity of 24 m/s. The train then moves at a constant velocity of for 400 s. The train then slows down uniformly at 0.065 deceleration until it is brought to a halt. The distance traveled by the train while slowing down is closest to
A) 4.4 km.
B) 4.2 km.
C) 4.0 km.
D) 3.8 km.
E) 3.6 km.
Answer A) 4.4 km
v^2 = u^2 +2*a*x
v=0
u^2/2a=x
x=24^2/2*0.065
x=4430.8= 4.4 km
49) A train starts from rest and accelerates uniformly until it has traveled 5.6 km and acquired a forward velocity of 42 m/s. The train then moves at a constant velocity of for 420 s. The train then slows down uniformly at until it is brought to a halt. The acceleration during the first 5.6 km of travel is closest to which of the following?
A) 0.16 m/s
B) 0.14 m/s
C) 0.17 m/s
D) 0.19 m/s
E) 0.20 m/s
v^2=u^2+2(a)(s)
42^2=0 + 2a x 5600
a=0.1575=0.16
Answer A)
48) At the instant a traffic light turns green, a car that has been waiting at the intersection starts ahead with a constant acceleration of 2.00 m/s2. At that moment a truck traveling with a constant velocity of 15.0 m/s overtakes and passes the car.
(a) Calculate the time necessary for the car to reach the truck.
(b) Calculate the distance beyond the traffic light that the car will pass the truck.
(c) Determine the speed of the car when it passes the truck.
a) S= Ut + 1/2 at^2
15t=0 + 1/2 (2)(t^2)
15t=t^2
t= 15 seconds
b) distance= time x speed
15 x 15= 225 meters
c) v= u+at
v= 0 + (2 x 15)
v= 30 m/s
47) A car travels at 15 m/s for 10 s. It then speeds up with a constant acceleration of 2.0 m/s2 for 15 s. At the end of this time, what is its velocity?
A) 15 m/s
B) 30 m/s
C) 45 m/s
D) 375 m/s
C) 45 m/s
2 x 15= 30 m/s
30+15= 45m/s
46) A certain test car can go from rest to 32.0 m/s in 3.88 s. The same car can come to a full stop from that speed in 4.14 s. What is the ratio of the magnitude of the starting acceleration to the
stopping acceleration?
A) 0.937
B) 1.07
C) 0.878
D) 1.14
Answer: B 1.07
In the first case,
Final velocity (v)=32 m/s
Initial velocity (u)=0 m/s
time (t)=3.88 s
Acceleration =a
Using the following equation of motion,
v=u+at
32=0+(a×3.88)
a=(32/3.88)=8.247 m/s2
In the second case,
final velocity (v)=0 m/s
Initial velocity =32 m/s
time (t)=4.14 s
v=u+at
0=32+(a×4.14)
a=(-32/4.14)=-7.729 m/s2
(Negative sign indicates the decreasing speed )
Ratio of magnitudes of starting acceleration to the stopping acceleration is,
(8.247/7.729)=1.07
45) An auto accelerates forward from 7.0 m/s at a uniform 0.71 m/s2. It travels a distance of 1.033 km while accelerating.
(a) How fast is the auto moving just as it is traveled the 1.033 km?
(b) How many seconds did it take to travel the 1.033 km?
44) A water rocket can reach a speed of 75 m/s in 0.050 seconds from launch. What is its average acceleration?
70/.050= 1500
43) Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s. How long does it take for them to meet?
total velocity= 3m/s + 2m/s= 5m/s
time= displacement/velocity
100/5= 20seconds
A Ferris wheel has radius 5.0 m and makes one revolution every 8.0 s with uniform rotation. A person who normally weighs 670 N is sitting on one of the benches attached at the rim of the wheel. What is the apparent weight (the normal force exerted on her by the bench) of the person as she passes through the highest point of her motion?
R = 5m , T = 8sec weight =670N
V = ω × R
V = (2π/(8))×R
V = 3.928m/s
M = 670/(9.8) = 68.367kg
Wapp = W + Mv2/R
Wapp = 670 + ((68.367)(3.928)2/(5))
Wapp = 880N (approx.)
4) Convert 1.2 × 10-3 to decimal notation.
D.
10-3 means move decimal left 3 places = 0.0012
8) The number 0.003010 has
C) 4 significant figures.
0.003010leading zeros do not count
7) 0.00325 × 10-8 cm can also be expressed in mm as
C) 3.25 × 10-10 mm. (1cm = 10mm) 0.00325 × 10-8 = 0.325 × 10-11
6) 0.0001776 can also be expressed as
B. 1.776 × 10-4.
3) The current definition of the standard kilogram of mass is based on
C.
the mass a particular object kept in France (Le Grand K)
2) The current definition of the standard second of time is based on
A.
the frequency of radiation emitted by cesium atoms (cesium-133 clock)
1)The current definition of the standard meter of length is based on
C.
distance traveled by light in a vacuum = 1/299,792,458 of a second.
67) A rock is thrown from the upper edge of a tall cliff at some angle above the horizontal. It reaches its highest point and starts falling down. Which of the following statements about the rock’s motion are true just before it hits the ground? (There could be more than one correct choice.)
A) Its horizontal velocity component is zero.
B) Its velocity is vertical.
C) Its vertical velocity component is the same as it was just as it was launched.
D) Its horizontal velocity component is the same as it was just as it was launched.
E) Its speed is the same as it was just as it was launched.
D)Its horizontal velocity component is the same as it was just as it was launched.
a=0 in the X direction so object maintains its horizontal velocity component from launch
42) If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery in 2.00 hours, what is your
(a) average speed?
(b) average velocity?
Speed = distance/time
4+4+2.5/2= 5.25 km/h
average velocity= displacement/time
2.5/2=1.25 km/h
41) A bat, flying toward the east at 2.0 m/s, emits a shriek that is reflected back to it from a wall that is 20.0 m in front of the bat at the instant the shriek is emitted. Sound travels at 340 m/s in the air. How many milliseconds after emitting the shriek does the bat hear the reflected echo from the wall?
117 milliseconds
20 x 2= 40 meters
40/340= 0.117 seconds= 117 milliseconds
40) If you are driving 72 km/h along a straight road and you look to the side for 4.0 s, how far do you travel during this inattentive period?
A) 18 m
B) 20 m
C) 40 m
D) 80 m
D) 80 m
72 km/hr x 1000/3600= 20 m/s
20 x 4= 80meters
68) You are trying to cross a river that flows toward the south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat
A) directly toward the west.
B) directly toward the north.
C) in a general southwesterly direction.
D) in a general northwesterly direction.
D) in a general northwesterly direction.
69) You push on box G that is next to box H, causing both boxes to slide along the floor, as shown in the figure. The reaction force to your push is:
A) the push of box G on box H.
B) the push of box H on box G.
C) the push of box G against you.
D) the upward force of the floor
C) the push of box G against you.
Newton’s Third Law
60) For general projectile motion with no air resistance, the horizontal component of a projectile’s acceleration
A) is always zero.
B) remains a non-zero constant.
C) continuously increases.
D) continuously decreases.
E) first decreases and then increases.
A) is always zero.
59) For general projectile motion with no air resistance, the horizontal component of a projectile’s velocity
A) remains zero.
B) remains a non-zero constant.
C) continuously increases.
D) continuously decreases.
E) first decreases and then increases.
B) remains a non-zero constant.
58) If A + B= C and their magnitudes are given by A + B = C, then the vectors and are oriented.
A) perpendicular relative to one other.
B) parallel to each other (in the same direction).
C) antiparallel to each other (in opposite directions).
D) It is impossible to know from the given information.
B) parallel to each other (in the same direction).
57) Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. If these two vectors are added together, the magnitude of the sum
A) is equal to 2.0 m.
B) could be as small as 2.0 m or as large as 12 m.
C) is equal to 12 m.
D) is equal to 8.6 m.
B) could be as small as 2.0 m or as large as 12 m.
7-5=2
7+5=12
56) A bullet shot straight up returns to its starting point in 10 s. What is the initial speed of the bullet, assuming negligible air resistance?
A) 9.8 m/s B) 25 m/s C) 49 m/s D) 98 m/s
Vf= Vi + at
t= 10/2= 5
0= Vi + (-9.8)(5)
Vi= 49 m/s
55) A hammer is thrown upward with a speed of 14 m/s on the surface of planet X where the acceleration due to gravity is 3.5 m/s2 and there is no atmosphere. What is the speed of the hammer after 8.0 s?
A) 7.0 m/s B) 14 m/s C) 21 m/s D) 64 m/s
The speed of the hammer is
V= Vi - at= 14-28= -14 m/s
acceleration absolute value= 14m/s
54) An astronaut on a strange new planet having no atmosphere finds that she can jump up to a maximum height of 27 m when her initial upward speed is 6.0 m/s. What is the magnitude of the acceleration due to gravity on the planet?
maximum height Hmax = u^2/(2*g)
27 = 6^2/(2*g)
2*g = 36/27 = 1.33
accelaration due to gravity is g = 1.33/2 = 0.66 m/s^2
53) A stone is thrown with an initial upward velocity of 7.0 m/s and experiences negligible air resistance. If we take upward as the positive direction, what is the velocity of the stone after 0.50 s?
A) 2.1 m/s B) 4.9 m/s C) -2.1 m/s D) -4.9 m/s E) 0.00 m/s
v = u+at
v = 7-9.8*0.5
v = 2.1 m/s
52) Acceleration is sometimes expressed in multiples of g, where 9.82 is the acceleration of an object due to the earth’s gravity. In a car crash, the car’s forward velocity may go from 29 m/s to 0 m/s in 0.15 seconds. How many g’s are experienced, on average, by the driver?
v = u + a * t
0 = 30 + a * 0.15
a = - 200 m/s^2
the number of g’s , n = |a| /g
n = 200 /10 g = 20 g
51) A soccer ball is released from rest at the top of a grassy incline. After 6.4 seconds the ball has rolled 91 m with constant acceleration, and 1.0 s later it reaches the bottom of the incline.
(a) What was the ball’s acceleration?
(b) How long was the incline?
a) S= ½at^2
91= ½ a (6.4)^2
a= 91 x 2/40.96= 4.4
b) S= ½ (4.4) (6.4 + 1)^2= 120.47= 120 meters
101) A wind farm generator uses a two-bladed propeller mounted on a pylon at a height of 20 m, as shown in the figure. The width of the pylon is very narrow, and the length of each propeller blade is 12 m. A tip of the propeller breaks off just when the propeller is vertical. The fragment flies off horizontally, falls, and strikes the ground at point P with negligible air resistance. Just before the fragment broke off, the propeller was turning uniformly, taking 1.2 s for each rotation. How far is point P from the base of the pylon?
A) 120 m B) 130 m C) 140 m D) 150 m E) 160 m
E) 160
5) Write out the number 7.35 × 10-5 in full with a decimal point and correct number of zeros.
B.
10-5 mean move decimal 5 places left = 0.0000735
70) A small car and a large SUV are at a stoplight. The car has a mass equal to half that of the SUV, and the SUV can produce a maximum accelerating force equal to twice that of the car. When the light turns green, both drivers push their accelerators to the floor at the same time.
Which vehicle pulls ahead of the other vehicle after a few seconds?
A) The car pulls ahead.
B) The SUV pulls ahead.
C) It is a tie.
C) It is a tie.
Initial V = 0 for both
F =ma
F(car)=1/2m a
F(suv)= m a
2F(car) = F(suv)
2F(car)= 1/2 m a (2 cancels out the half)
They become equal at least for the first few seconds
8) The number 0.003010 has
C) 4 significant figures.
9) What is to the proper number of significant figures in 0.674/0.74
A.
- 91
(0. 74 only has 2 sig figs and determines sig figs for the answer)
71)A velocity vector has components 36 m/s westward and 22 m/s northward. What are the magnitude and direction of this vector?
Answer: 42 m/s at 31° north of west
72) When rolled down a mountainside at 7.0 m/s, the horizontal component of its velocity vector was 1.8 m/s. What was the angle of the mountain surface above the horizontal?
A) 75°
B) 57 °
C) 33°
D) 15°
A) 75°
Angle = cos^-1 (1.8/7) = 75
Kepler’s Third Law for a Circular Orbit Equation
The speed of a satellite is the distance traveled during one period and is calculated by the following:
10) What is the sum of 1.53 + 2.786 + 3.3 written with the correct number of significant figures?
B. 7.6
(3.3 only has 2 sig figs and determines sig figs for the answer)
11) What is the product of 11.24 and 1.95 written with the correct number of significant figures?
B.
21.9 (1.95 has 3 sig figs and determines sig figs for the answer)
73) When Jeff ran up a hill at 7.0 m/s, the horizontal component of his velocity vector was 5.1 m/s. What was the vertical component of Jeff’s velocity?
A) 4.8 m/s
B) 4.3 m/s
C) 3.8 m/s
D) 3.4 m/s
A) 4.8 m/s
Use Pythagorean Theorem to calculate Y component of vector
12) Express (4.3 × 106)-1/2 in scientific notation.
A.
4.8 × 10-4 (-½ power is = 1/x-2)
(-2 power = square root)
13) The length and width of a rectangle are 1.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be written as
C.
0.682 m2 (least sig figs is 0.606 with 3 sig figs)
14) The following exact conversion equivalents are given: 1 m = 100 cm , 1 in = 2.54 cm, and 1ft = 12 in. If a computer screen has an area of 1.27 ft2, this area is closest to
C) 0.118 m2 ( 1.27 ft2 ) (144in2/1ft2) (6.45cm2/1in2) (1m2/10000cm2)
15) In addition to 1 m = 39.37 in
If a particle has a velocity of 8.4 miles per hour,its velocity, in m/s, is closest to
(1mile = 5280ft, 1ft = 12in, 1 hr = 60min, 1min = 60sec)
A) 3.8 m/s. ( 8.4 mile/hr) (5280ft/1mile)(12in/1 ft)(1m/39.97in) = 13315.6 m/hr
13315.6m/hr (1hr/60min)(1min/60 sec) = ~ 3.8m/s pro tip: 1 hr = 3600 seconds
16) A weight lifter can bench press 171 kg How many milligrams (mg) is this?
A) 1.71 × 108 mg (171kg) (1000g/kg)(1000mg/1g) or (1.71x102)(1x106)
17) How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7x107 calculations per second?
A) 15 ns 1 sec/6.7x107calc = 1.5x10-8 sec/1calc.
(1 sec = 1x10-9 nano sec)
18) The shortest wavelength of visible light is approximately 400 nm. Express this wavelength in centimeters.
A) 4 × 10-5 cm (400nm = 400x10-9m or 4x10-7m)
4x10-7m (100 cm/1m)
19) Convert a speed of 4.50 km/h to units of ft/min. (1.00 m = 3.28 ft)
D) 246 ft/min 4.5km/hr = (4500m/hr)(3.28 ft/1m) = 14760ft/hr(1hr/60min)
20) Which of the following quantities has units of a displacement? (There could be more than one correct choice.)
A) 32 ft/s2 vertically downward
B) 40 km southwest
C) 9.8 m/s2
D) -120 m/s
E) 186,000 mi
B and E
(units of displacement involve a magnitude of distance covered only)
C and A ) are units of acceleration
D) is a unit of velocity
21) When is the average velocity of an object equal to the instantaneous velocity?
C) when the velocity is constant
(this makes sense if you are always traveling 4 m/s then your average velocity will also be 4m/s)
22) Suppose that a car traveling to the west begins to slow down as it approaches a traffic light. Which of the following statements about its acceleration is correct?
A) The acceleration is toward the east.
(there is no such thing as deceleration only acceleration in the opposite direction “east” of the direction traveled “west”)
23) An object moving in the +x direction experiences an acceleration of +2.0 m/s2. This means the object
D) is increasing its velocity by 2.0 m/s every second.
(acceleration is change in velocity/time, +2.0 m/s2 acceleration would be an increase in velocity of 2 m/s per s = 2m/s2)
24) Suppose that an object is moving with a constant velocity. Which statement concerning its acceleration must be correct?
D) The acceleration is equal to zero.
(at constant velocity there is no acceleration because there is no change in velocity/time)
(future priming if a=0, then there is no force,F = m(a), F =m(0) therefore F=0)
25) When a ball is thrown straight up with no air resistance, the acceleration at its highest point
B) is downward
(acceleration is g=9.8m/s2)
g is the force of gravity pulling the ball back down to earth, always points down
which is why the higher the ball goes the slower (decrease in velocity) it goes until it finally stops (v=0) and begins to return to the earth with the same acceleration (g) now going with the balls movement and not against it.
if g were 0 the ball would just stay stuck in the air and never come down
this would be shitty