Roller coaster’s motion is a type of motion. Here is a word problem to determine the velocity of moving roller coaster. Balanced or unbalanced forces when applied on any body there occur a motion and the speed at which the body moves is velocity of that body.
Topic : Velocity of Moving Body
Since Potential Energy is equal to Kinetic energy in the system, m*g*h = 1/2*m*v2 is the formula to find velocity of a body with mass m, height h and g is constant gravitational force.
Question : A roller coaster is 94.5 m high at its highest point. What is the maximum possible speed of the roller coaster? The roller coaster’s actual maximum speed is 41.1 m/s.?
Solution :
Height=94.5 metre
Actual maximum speed is 41.1 m/s.
The roller coaster reaches maximum speed when all of its gravitational potential energy has been converted to kinetic energy
Here PE = KE
M*g*h=1/2*m*v2
V2=2*g*h=2*9.8*94.5= 1852.2
V= 43.037 m/sec
The maximum possible speed of the roller coaster, V= 43.037 m/sec
Whenever you have to solve similar kind of question, like finding velocity or any unknown qantities, consider the same formula substitute the values and calculate.
If you have any kind of queries related to the above motion topic please do write to our physics help.
