Question

Автомобиль массой 1000 кг движется со скоростью 72км/ч по вогнутому мосту радиусом 80 м. С какой силой автомобиль действует на мост в нижней его точке?

Answer 1

72 км/ч= 20 м/с

F= m ( g+a)   a= V^2 / R        a= 400/ 80= 5 м/с^2

F= 1000* ( 10+5)= 15000 H

Answer 2

Calculation of the Force Acting on the Car

To calculate the force acting on the car at the bottom of the concave bridge, we need to consider the centripetal force acting on the car as it moves in a circular path. The centripetal force is the force that keeps an object moving in a curved path and is directed towards the center of the circle.

The formula for centripetal force is:

F = (m * v^2) / r

Where: - F is the centripetal force - m is the mass of the car (given as 1000 kg) - v is the velocity of the car (given as 72 km/h, which needs to be converted to m/s) - r is the radius of the circular path (given as 80 m)

Conversion of Velocity from km/h to m/s

To convert the velocity from km/h to m/s, we can use the following conversion factor:

1 km/h = 0.27778 m/s

Converting the given velocity of 72 km/h to m/s:

72 km/h * 0.27778 m/s = 20 m/s

Now that we have the velocity in m/s, we can proceed with the calculation.

Calculation

Substituting the given values into the centripetal force formula:

F = (1000 kg * (20 m/s)^2) / 80 m

Simplifying the equation:

F = (1000 kg * 400 m^2/s^2) / 80 m

F = 5000 N

Therefore, the force acting on the car at the bottom of the concave bridge is 5000 N.