A car of mass 542 kg is travelling with a constant speed of 53 km/hr on a wet ro

Question

A car of mass 542 kg is travelling with a constant speed of 53 km/hr on a wet road around a circular bend with radius 19 m. The coefficient of static friction s between the tires and the road is enough to prevent skidding. The coefficient of kinetic friction k, as usual, is less than s.Take g to be 9.81 m/s2. Select "True", "False", "Greater than","Less than" or "Equal to" to correctly complete or provide an answer to the statement.

1.The acceleration of the car is 11.41 m/s2 directed outwards.
2.There is a small package on the rear-bench-seat of the car. While the car is travelling round the bend, the package slides along the seat. The direction of the sliding is towards the outside of the bend.
3.After the skid has begun, the total force on the car is s mg.
4.The net (total) force on the car is 8151.16 N.

Explanation / Answer

1)The statement one is true

EXPALANATION: here velocity of car and radius are given the formula to find accerlation is

a=v2/r => (14.72)2/19 => 11.40m/s2 { here velocity is converted into m/s}

4)The statement 4 is false

Explanation: Total force ft=normal force(Fn)+frictional force(Ff)

Normal force (Fn) = ma => 542*11.40 = 6178,8N

frictional force (Ff) = UsN => 0.86*6178.8 = 5313.76N

Hence total force (Ft) = 11492.56N

3) statement 3 is true

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