Physics, 17.01.2020 07:31 kaylee2828

Acar is moving at 19 m/s along a curve on a horizontal plane with radius of curvature 49m.
the acceleration of gravity is 9.8 .
what is the required minimum coefficient of static friction between the road and the car’s tires to keep the car from skidding?

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Answer from: joel53

Minimum coefficient of static friction is 0.75

Given that;

Velocity of car = 19 m/s

Radius of curvature = 49 meter

Acceleration of gravity = 9.8 m/s²

Find:

Minimum coefficient of static friction

Computation:

Minimum coefficient of static friction = V² / rg

Minimum coefficient of static friction = 19² / [(49)(9.8)]

Minimum coefficient of static friction = 361 / [480.2]

Minimum coefficient of static friction = 0.7517

Minimum coefficient of static friction = 0.75

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Answer from: lifeofabe214

$\mu =0.75$

Explanation:

Frictional Force

When the car is moving along the curve, it receives a force that tries to take it from the road. It's called centripetal force and the formula to compute it is:

F_c=m.a_c

The centripetal acceleration a_c is computed as

$\displaystyle a_c=\frac{v^2}{r}$

Where v is the tangent speed of the car and r is the radius of curvature. Replacing the formula into the first one

$F_c=m.\frac{v^2}{r}$

For the car to keep on the track, the friction must have the exact same value of the centripetal force and balance the forces. The friction force is computed as

$F_r=\mu N$

The normal force N is equal to the weight of the car, thus

$F_r=\mu .m.g$

Equating both forces

$\displaystyle \mu .m.g=m.\frac{v^2}{r}$

Simplifying

$\displaystyle \mu =\frac{v^2}{rg}$

Substituting the values

$\displaystyle \mu =\frac{19^2}{(49)(9.8)}$

$\boxed{\mu =0.75}$

Answer from: Quest

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm. the wire diameter is d = 0.9 mm. the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2) in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

Answer from: Quest

Efficiency is an act of doing something

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