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.