2)if a curved of radius 50m is banked at 30 degree will a car travelling at 60 km/hr along

the curve will safe?

you mean "be safe" ??

or maybe "stay safe" ?

when you have the coefficient of friction for the roadway and maybe the weight of the car come back and someone will help you

To determine whether a car traveling along a curved banked road at a certain speed will be safe, we need to consider the forces acting on the car. The main forces to consider are the gravitational force, the normal force, and the frictional force.

In this case, the road is banked at an angle of 30 degrees, and the car is traveling at a speed of 60 km/hr (which we will convert to m/s later). The radius of the curve is given as 50 meters.

First, let's determine the components of the forces acting on the car:

1) Gravitational force (mg):
The gravitational force acts vertically downwards, and its component perpendicular to the road surface is mg * cos(30), where m is the mass of the car and g is the acceleration due to gravity.

2) Normal force (N):
The normal force acts perpendicular to the road surface. It is given by mg * sin(30) + mv^2 / r, where v is the velocity of the car.

3) Frictional force (F):
The frictional force acts horizontally towards the center of the curve. It is given by μN, where μ is the coefficient of friction between the tires and the road surface.

Now, let's determine whether the car will be safe by considering these forces:

1) If the gravitational force component in the horizontal direction (mg * cos(30)) is greater than the frictional force (μN), the car will tend to move towards the center of the curve and will be safe.

2) If the gravitational force component in the horizontal direction is less than the frictional force, the car will tend to move away from the center of the curve and may skid or slide. In this case, the car will not be safe.

To calculate the speed of the car in m/s, we convert 60 km/hr to m/s:
60 km/hr = (60 * 1000 m) / (60 * 60 s) = 16.67 m/s

Now, we can substitute the values into the equations and determine whether the car will be safe.

Plz give me answer for this question