R15-4. The three freight cars A, B, and C have masses of10 Mg, 5 Mg, and 20 Mg, respectively. They are travelingalong the track with the velocities shown. Car A collideswith car B first, followed by car C. If the three cars coupletogether after collision, determine the common velocity ofthe cars after the two collisions have taken place.20 km/h5 km/h25 km/h

Given Data Initial speed of car A (VA)1=20 Km/h = 5.56 m/s Initial speed of car B (VB)1=5 Km/h =…

Answered: R15-4. The three freight cars A, B, and…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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3
A railroad car having a mass of 15000 kg is coasting at 1.5 m/s on a horizontal track. At the same time another car having a mass of 12000 kg is coasting at 0.75 m/s in the opposite direction. If the cars meet and couple together, determine the speed of both cars just after the coupling.
Determine the angular momentum Ho of the 4-kg particle about point O. 6 m/s 2 m 2 m 2 m 1.5 m 1.5 m 1 m 3 m 3 m
None
Show that the girl at A can throw the ball to the boy at B by launching it at equal angles measured up or down from a 45° inclination. If vA = 10 m/s, determine the range R if this value is 15°, i.e., 0, = 45° – 15° = 30° and 02 = 45° + 15° = 60°. Assume the ball is caught at the same elevation from which it is thrown. II VA = 10 m/s A B
The ball with a mass of 5 kg is attached to the rod (with negligible mass), which rotates about O in the horizontal plane. A couple moment M = 0.5 t2 N-m is applied to the system, where t is in seconds. Determine the speed of the ball at the instant t = 10 s starting from rest.
The 10 Mg truck hauls the 20 Mg trailer. If the truck-trailerstart from rest with constant acceleration achieves a velocity of20 km/h when it travels a distance of 200 m. Determine (a) thetension in the horizontal drawbar, (b) the tractive force betweenthe driving wheels of the truck and the road.
Box A is traveling down the smooth incline (0= 17°) and it hits box B, initially at rest, with the velocity of 5 m. Immediately after impact, box A moves up the incline with the velocity of 1 m. Determine the velocity of box B (in m) immediately after impact. Consider ma = 3 kg and mB = 18 kg. The positive direction is shown on the figure. VA В
The baseball player A hits the baseball at VA = 40 ft/s and θA = 60° from the horizontal. When the ball is directly overhead of player B he begins to run under it. Determine the constant speed at which B must run and the distance d in order to make the catch at the same elevation at which the ball was hit.
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An engineer is studying the impacts of frontal car collisions on the occupants.If a 1900-lb car with velocity vA = 30 mph collides head on with a 2800-lb car with velocity vb =20 mph, the coefficient of restitution of the impact is e = 0.15, then determine the velocities ofeach car after the collision. Assume car A and car B are on a flat surface, with car A traveling tothe right and car B traveling to the left.
2. Determine the kinetic energy of the 60-lb block A at this instant if the 40-ib block B is traveling uphill with a speed of 1.5 ft/s. Also calculate the kinetic energy of block B. 60° 30

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