Question

По выпуклому мосту с радиусом 50 м движется автомобиль со скоростью 72 км/ч. Масса автомобиля равна 1 т. Определить с какой силой автомобиль давит на мост и какое ускорение имеет автомобиль в верхней точке моста? РЕШИТЕ ПОЖАЛУЙСТА БУДУ очень благодарен)

Answer 1

Решил , вроде так :3

Answer 2

Calculation of the Force Exerted by the Car on the Bridge

To determine the force exerted by the car on the bridge, we need to consider the centripetal force acting on the car as it moves along the curved bridge. The centripetal force is responsible for keeping the car moving in a circular path.

The formula for centripetal force is:

F = (m * v^2) / r

Where: - F is the centripetal force - m is the mass of the car - v is the velocity of the car - r is the radius of the curved bridge

Given: - Mass of the car (m) = 1 ton = 1000 kg - Velocity of the car (v) = 72 km/h = 20 m/s - Radius of the curved bridge (r) = 50 m

Let's substitute the values into the formula to calculate the force:

F = (1000 kg * (20 m/s)^2) / 50 m

Calculating this expression, we find:

F = 8000 N

Therefore, the car exerts a force of 8000 Newtons on the bridge.

Calculation of the Acceleration of the Car at the Top of the Bridge

To determine the acceleration of the car at the top of the bridge, we can use the centripetal acceleration formula:

a = v^2 / r

Where: - a is the centripetal acceleration - v is the velocity of the car - r is the radius of the curved bridge

Given: - Velocity of the car (v) = 72 km/h = 20 m/s - Radius of the curved bridge (r) = 50 m

Let's substitute the values into the formula to calculate the acceleration:

a = (20 m/s)^2 / 50 m

Calculating this expression, we find:

a = 8 m/s^2

Therefore, the car has an acceleration of 8 meters per second squared at the top of the bridge.

Please note that the calculations provided are based on the given information and assumptions.