The speed of the car at the bottom of the dip given the parameters in the equation is; v = 7 m/s
- Since the motion is circular, it means that the acceleration of the car will be acting towards the centre of the circle and as a result the acceleration will be acting upwards with the formula; a = v²/r
- Now, if the mass of a passenger is denoted as m, then the net force on the passenger will be;
F = mv²/r
- Also, in the roller coaster, two other forces are acting which are the force of gravity(F_g) acting downward and also the force of the seat(F_seat) acting upwards. Thus, from equilibrium of forces, we can say that;
F_seat - F_g= mv²/r
Where F_g= mg.
Thus; F_seat - mg mv²/r
1.5mg - mg mv²/r
divide through by m to get; 0.5g = v²/r
Plug in the relevant values;
0.5(9.8) = v²/10
v² = 0.5 x 9.8 × 10
v² = 49
v = 7
The speed of Car is 7 m/s
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