GO When a high-speed passenger train traveling at 161 km/h rounds a bend, the engineer is shocked to see that a locomotive has improperly entered onto the track from a siding and is a distance D = 676 m ahead (Fig. 2-32). The locomotive is moving at 29.0 km/h. The engineer of the high-speed train immediately applies the brakes. (a) What must be the magnitude of the resulting constant deceleration if a collision is to be just avoided? (b) Assume that the engineer is at x = 0 when, at t = 0, he first spots the locomotive. Sketch x ( t ) curves for the locomotive and high-speed train for the cases in which a collision is just avoided and is not quite avoided.
GO When a high-speed passenger train traveling at 161 km/h rounds a bend, the engineer is shocked to see that a locomotive has improperly entered onto the track from a siding and is a distance D = 676 m ahead (Fig. 2-32). The locomotive is moving at 29.0 km/h. The engineer of the high-speed train immediately applies the brakes. (a) What must be the magnitude of the resulting constant deceleration if a collision is to be just avoided? (b) Assume that the engineer is at x = 0 when, at t = 0, he first spots the locomotive. Sketch x ( t ) curves for the locomotive and high-speed train for the cases in which a collision is just avoided and is not quite avoided.
GO When a high-speed passenger train traveling at 161 km/h rounds a bend, the engineer is shocked to see that a locomotive has improperly entered onto the track from a siding and is a distance D = 676 m ahead (Fig. 2-32). The locomotive is moving at 29.0 km/h. The engineer of the high-speed train immediately applies the brakes. (a) What must be the magnitude of the resulting constant deceleration if a collision is to be just avoided? (b) Assume that the engineer is at x = 0 when, at t = 0, he first spots the locomotive. Sketch x(t) curves for the locomotive and high-speed train for the cases in which a collision is just avoided and is not quite avoided.
A red train travelling at 72 km/h and a green train
travelling at 144 km/h are headed toward each other
along a straight, level track. When they are 950 m apart,
each engineer sees the other's train and applies the
brakes. The brakes slow each train at the rate of 1.0 m s
2. Is there a collision?
If so, answer yes [in the first box] and give the speed of
the red train and the speed of the green train at impact,
respectively. [in the second and third box - give answers
as integers, and in units: m/s but without the units]
If not, answer no [in the first box] and give the distance
travelled by the red train and the distance travelled by
the green train when they stop, respectively. [in the
second and third box - give answers as integers in units
m but without the unit]
Two trains A and B of length 800 m each are moving on two parallel tracks with a uniform speed of 144 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 2 m s-2. If after 100 s, the guard of B just brushes past the driver of A, what was the original distance between them ?
An object is moving along the x axis and an 18.0 s record of its position as a function of time is shown in the graph.
х (m)
32
20
8
t (s)
3 6 9
12
15
18
(a) Determine the position x(t) of the object at the following times.
t = 0.0, 3.00 s, 9.00 s, and 18.0 s
x(t = 0) =
x(t = 3.00 s) =
m
x(t = 9.00 s) =
x(t = 18.0 s) =
(b) Determine the displacement Ax of the object for the following time intervals. (Indicate the direction with the sign of your answer.)
At = (0
→ 6.00 s), (6.00 s → 12.0 s), (12.0 s → 18.0 s), and (0 → 18.0 s)
Ax(0 → 6.00 s) =
Дx (6.00 s
→ 12.0 s) =
Ax(12.0 s → 18.0 s) =
%3D
Ax(0 → 18.00 s) =
E E E E
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