(a) Explanation Given information: The angle ( θ ) is 6 ° . The initial velocity of the bus ( v 1 ) is 80 km / hr . The final velocity of the bus ( v 2 ) is 100 km / hr . The time ( t ) still on the level section of the highway is 8 sec . Initially the time ( t ) is 0. The acceleration due to gravity ( g ) is 9.81 m / s 2 . Calculation: Show the impulse momentum diagram for accelerating on level ground as Figure (1). Convert the initial velocity of the bus ( v 1 ) from km / hr to m / s : v 1 = ( v 1 ) km / hr × ( 1000 m 1 km ) × ( 1 hr 3600 sec ) Here, ( v 1 ) km / hr is the initial velocity of the bus in km / hr . Substitute 80 km / hr for ( v 1 ) km / hr . v 1 = 80 × ( 1000 m 1 km ) × ( 1 hr 3600 sec ) = 22.222 m / s Convert the final velocity of the bus ( v 2 ) from km / hr to m / s : v 2 = ( v 2 ) km / hr × ( 1000 m 1 km ) × ( 1 hr 3600 sec ) Here, ( v 2 ) km / hr is the final velocity of the bus in km / hr . Substitute 100 km / hr for ( v 2 ) km / hr . v 2 = 100 × ( 1000 m 1 km ) × ( 1 hr 3600 sec ) = 27.778 m / s Consider the Impulse momentum in the x direction while on level ground. Calculate for initial momentum ( P 1 ) of the bus using the relation: P 1 = m v 1 Substitute 22.222 m / s for v 1 . P 1 = m ( 22.222 m / s ) = 22.222 m Calculate the final momentum of the bus ( P 2 ) using the relation: P 2 = m v 2 Substitute 27.778 m / s for v 2 . P 2 = m ( 27.778 m / s ) = 27.778 m The expression for the impulse acting upon the load while the bus comes to rest ( ∑ Imp ( 1 − 2 ) ) as follows: ∑ Imp ( 1 − 2 ) = ∫ 0 t F d t The expression for the impulse momentum as follows: P 1 + ∑ Imp ( 1 − 2 ) = P 2 Substitute 22 (b) To determine Find the time ( t ) when the speed is 60 km / h .

Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9780073398242

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 13.3, Problem 13.128P

(a)

To determine

Find the speed of the bus (v3) when t=10sec.

(b)

To determine

Find the time (t) when the speed is 60km/h.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.3, Problem 13.127P

Chapter 13.3, Problem 13.129P

Students have asked these similar questions

In anticipation of a long 7° upgrade, a bus driver accelerates at a constant rate of 3 ft/s2 while still on a level section of the highway. Knowing that the speed of the bus is 60 mi/h as it begins to climb the grade and that the driver does not change the setting of his throttle or shift gears, determine the distance traveled by the bus up the grade when its speed has decreased to 50 mi/h.

This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A motorist starts from rest at Point A on a circular entrance ramp when t = 0, increases the speed of her automobile at a constant rate and enters the highway at Point B. Her speed continues to increase at the same rate until it reaches 85 km/h at Point C. Determine the speed at Point B. (You must provide an answer before moving on to the next part.) The speed at Point B is km/h. Note: please show step by step solution. Hence, double check the solution. For correction purposes!. I require handwritten working out please!. Kindly, please meticulously, check the image for conceptual understanding and for extra information purposes!. Also on occasions, I receive wrong answers!!. Please go through the question and working out step by step when you finish them. Appreciate your time!.

Human centrifuges are often used to simulate different acceleration levels for pilots. When aerospace physiologists say that a pilot is pulling 9 g,s , they mean that the resultant normal force on the pilot from the bottom of the seat is nine times their weight. Knowing that the centrifuge starts from rest and has a constant angular acceleration of 1.5 RPM per second until the pilot is pulling 9 g's and then continues with a constant angular velocity, determine (a) how long it will take for the pilot to reach 9 g's (b) the angle 0 of the normal force once the pilot reaches 9 g’s. Assume that the force parallel to the seat is zero.

Chapter 13 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

Ch. 13.1 - Block A is traveling with a speed v0 on a smooth...Ch. 13.1 - A 400-kg satellite is placed in a circular orbit...Ch. 13.1 - Prob. 13.2P Ch. 13.1 - Prob. 13.3P Ch. 13.1 - A 500-kg communications satellite is in a circular...Ch. 13.1 - Prob. 13.5P Ch. 13.1 - 13.6 In an ore-mixing operation, a bucket full of...Ch. 13.1 - Prob. 13.7P Ch. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - Prob. 13.9P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Find the speed of the bus ( v 3 ) when t = 10 sec .

Solution Summary: The author shows the impulse momentum diagram for accelerating on level ground as Figure (1).