Question

Велосипедист, развив скорость 54 км/ч, пытается въехать разгона ( не работая педалями ) на гору высотой 10 м. Определить, сможет ли он это сделатьь. Трение не учитывать

Answer 1

54 км/ч=15 м/с
Минимальная скорость V=sqrt(2*g*h)=sqrt(2*10*10)=14,1 м/с Ответ: сможет.

Answer 2

Can a cyclist reach the top of a 10-meter hill without pedaling?

To determine if a cyclist can reach the top of a 10-meter hill without pedaling, we need to consider the cyclist's speed and the gravitational force acting on them.

Given that the cyclist is traveling at a speed of 54 km/h, we can convert this to meters per second by dividing by 3.6. This gives us a speed of approximately 15 m/s.

To calculate if the cyclist can reach the top of the hill without pedaling, we need to compare the kinetic energy of the cyclist at the bottom of the hill to the potential energy required to reach the top.

The kinetic energy of the cyclist can be calculated using the formula:

Kinetic Energy = 0.5 * mass * velocity^2

However, since we don't have information about the mass of the cyclist, we cannot calculate the exact kinetic energy.

Assuming the mass of the cyclist is constant, we can compare the kinetic energy at the bottom of the hill to the potential energy required to reach the top.

The potential energy can be calculated using the formula:

Potential Energy = mass * gravity * height

Since we are not considering friction in this scenario, we can ignore it.

If the kinetic energy at the bottom of the hill is greater than or equal to the potential energy required to reach the top, the cyclist will be able to reach the top without pedaling. Otherwise, they will not be able to make it to the top.

Unfortunately, without knowing the mass of the cyclist, we cannot provide a definitive answer.

Please note that this calculation assumes ideal conditions and does not take into account other factors such as air resistance or the efficiency of the bicycle.