A 500-kg roller coaster starts with a speed of 4.0 m/s at a P degree 45 m above

Question

A 500-kg roller coaster starts with a speed of 4.0 m/s at a P degree 45 m above the bottom of a dip (see the figure below). The speed of the roller coaster at the top of the next peak, which is 30 m above the bottom of the dip, is 10 m/s. Calculate the reaches the second peak. 2.1 Times 10^4J 4.8 Times 10^4 J 5.2 Times 10^4J 1.5 Times 10^5 7.4 Times 10^4 J none of the above When two bodies of different masses collide, the impulses they exert on each other are equal for all collisions. equal but opposite for all collisions. equal but opposite only for elastic collisions. equal but opposite only for inelastic collisions. equal but opposite only when the bodies have equal but opposite accelerations. A 6.0-kg object moving 5.0 m/s collides with and sticks to a 2.0-kg object. After the collision the composite object is moving 2.0 m/s in a direction opposite to the initial direction of motion of the 6.0-kg object. Determine the speed of the 2.0-kg object before the collision. 15 m/s 7.0 m/s 8.0 m/s 23 m/s 11 m/s none of the above

Explanation / Answer

Q6. E

If accelerations are in opposite directions, then impulse directions would be opposite

P6

From Law of conservation of momentum, we write

(m1v1+m2v2) = (m1+m2) V

(6*5+2*v2) = 8*(-2)

v2 = -23 m/s (negative indicate direction)

D is the answer

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