a roller coaster (Mass=8000kg), starts from rest, rolls down an incline, and acq

Question

a roller coaster (Mass=8000kg), starts from rest, rolls down an incline, and acquires a kinetic energy of 580,000 joules during its downhill trip. What is its momentum at the bottom of the hill? a roller coaster (Mass=8000kg), starts from rest, rolls down an incline, and acquires a kinetic energy of 580,000 joules during its downhill trip. What is its momentum at the bottom of the hill? a roller coaster (Mass=8000kg), starts from rest, rolls down an incline, and acquires a kinetic energy of 580,000 joules during its downhill trip. What is its momentum at the bottom of the hill?

Explanation / Answer

mass of the roller , m=8000kg

kinetic energy gained, K.E=58*10^4 J

here,

K.E=1/2*m*v^2

58*10^4=1/2*8*10^3*v^2

====> speed v=12.04 m/sec

now,

momentum P=m*v

P=8*10^3*12.04

P=96.33*10^3 kg*m/sec

momentum, P=96.33*10^3 Kg*m/sec

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