Collision . The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200 m ahead on the same track ( Fig. P2.62 ). The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the passenger train immediately applies the brakes, causing a constant acceleration of 0.100 m/s 2 in a direction opposite to the train’s velocity, while the freight train continues with constant speed. Take x = 0 at the location of the front of the passenger train when the engineer applies the brakes, (a) Will the cows nearby witness a collision? (b) If so, where will it take place? (c) On a single graph, sketch the positions of the front of the passenger train and the back of the freight train.
Collision . The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200 m ahead on the same track ( Fig. P2.62 ). The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the passenger train immediately applies the brakes, causing a constant acceleration of 0.100 m/s 2 in a direction opposite to the train’s velocity, while the freight train continues with constant speed. Take x = 0 at the location of the front of the passenger train when the engineer applies the brakes, (a) Will the cows nearby witness a collision? (b) If so, where will it take place? (c) On a single graph, sketch the positions of the front of the passenger train and the back of the freight train.
Collision. The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200 m ahead on the same track (Fig. P2.62). The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the passenger train immediately applies the brakes,
causing a constant acceleration of 0.100 m/s2 in a direction opposite to the train’s velocity, while the freight train continues with constant speed. Take x = 0 at the location of the front of the passenger train when the engineer applies the brakes, (a) Will the cows nearby witness a collision? (b) If so, where will it take place? (c) On a single graph, sketch the positions of the front of the passenger train and the back of the freight train.
On a one lane road, a person driving a car at v1 = 58 mi/h suddenly notices a truck 1.1 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction.
1. Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2.
a = ( v2 - v1 )/Δt
Δt = ( 2 ) ( d )/( v1 - v2 )
2. Calculate the value of a in meters per second squared.
A rocket accelerates upward from rest, due to the first stage, with a constant acceleration of a1= 76 m/s^2 for t1= 47s. The first stage then detached and second stage fires, providing a constant acceleration of a2= 46 m/s^2 for the time interval t2= 109s. (A) Enter an expression for the rocket's speed, v1, at time t1 in terms of the variable provided. (B) Enter an expression for the rocket's speed, v2, at the end of the second period of acceleration, in terms of the variable provided in the problem statement. (C) Using your expression for speeds v1 and v2, calculate the total distance traveled, in meters by the rocket from launch until the end of the second piece of acceleration.
A cyclist is initially at rest at the origin. At t=0 she starts to accelerate at a constant rate, along a straight road reaching a velocity of 4.00 m/s after 12.0 seconds. 12.0 seconds after starting a prairie dog runs across her path and the cyclist hits the brakes, producing a new constant acceleration. 13.0 seconds after starting, the cyclist has a velocity of 1.50 m/s .
What is the acceleration, a1a1, of the cyclist in the first part of the motion, between t = 0 and 12s?
What is the acceleration of the cyclist, a_2 , in the second part of the motion between t = 12 and 13s?
What is her average acceleration in this 13-s interval?
What is the position of the cyclist at 13s, x_13?
Chapter 2 Solutions
University Physics with Modern Physics (14th Edition)
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