a toy car of 100 g mass is located at the flat part of the track with h = 10 m w

Question

a toy car of 100 g mass is located at the flat part of the track with h = 10 m when the car rolls down the track and reaches the peak point A of the circle part of the track whose radius R=3 m, will the car stay in contact witg the car, justify mathematically and eguch firces are applied to the track. magnitude and direction? neglect friction a toy car of 100 g mass is located at the flat part of the track with h = 10 m when the car rolls down the track and reaches the peak point A of the circle part of the track whose radius R=3 m, will the car stay in contact witg the car, justify mathematically and eguch firces are applied to the track. magnitude and direction? neglect friction a toy car of 100 g mass is located at the flat part of the track with h = 10 m when the car rolls down the track and reaches the peak point A of the circle part of the track whose radius R=3 m, will the car stay in contact witg the car, justify mathematically and eguch firces are applied to the track. magnitude and direction? neglect friction

Explanation / Answer

here,

h= 10 m

R = 3 m

let the speed of car at the top be v

using conservation of energy

0.5 * m * v^2 = m * g * ( h - 2 *r)

0.5 * v^2 = 9.8 * ( 10 - 6)

v = 8.85 m/s

the centripital accelration at the top , ac = v^2 /r

ac = 8.85^2 /3 = 26.1 m/s^2

as, the centripital accelration is greater than gravity

the car stay in contact at the peak point of the track

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