When a moving car is brought to a stop with its breaks, its acceleration vector

Question

When a moving car is brought to a stop with its breaks, its acceleration vector is: A 2 000-kg sailboat experiences an eastward force of 3 000 N by the ocean tide and a wind force against its sails with magnitude fo 6 000 N directed toward the northwest (45 degree N of W). What is the magnitude of the resultant acceleration? A thrown stone hits a window, but doesn't break it. Instead it reverses direction and ends up on the ground below the window. In this ease, we know: A 140 g baseball traveling initially at 30 m/s is hit by a bat and leaves traveling at 36 m/s in the opposite direction. If the hall was in contact with the bat for 0.013 s, what average force did the bat exert on the ball? A 40,000 kg railroad car moving at 3.1 m/s collides with a second car of mass 55,000 kg that is initially at rest on the same track. The two cars couple together. What is their speed after the collision? An ideal gas occupies 12 liters at 20 degree C and 1 atmosphere (76 cm of Hg). It's temperature is now raised to 100 degree C and its pressure increased to 215 cm Hg. What is its new volume in liters?

Explanation / Answer

6.)
If car is brough to stop with it's breaks then this means car is deaccelerating and therefore
Acceleration vector is :- Opposite to the Velocity Vector.

7.)
m = 2000 Kg
F1 = 3000 i^ N
F2 = - 6000 * cos(45) i^ + 2000 * sin(45) j^
F2 = - 4243 i^ + 4243 j^ N

Net Force = sqrt[(-4243 + 3000)^2 + (4243)^2]
F = 4421 N

Force = Mass * Acceleration
a = F/m
a = 4421/2000
a = 2.2 m/s^2

please post seperate questions in seperate post.

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