Question

Лыжник массой 50 кг движется со скоростью 36км/ч по вогнутому участку дороги с радиусом кривизны 20м . Определите вес лыжника в средней части вогнутого участка

Answer 1

Дано:  
m=50 кг      
V=36 км/ч=10 м/с    
P- ?
При движении по выпуклой поверхности ускорение направлено вниз
P=m*g- m*a=m*(g-V^2/R)=50*(10 -100/20)=250 Н 

Answer 2

Calculation of Centripetal Force:

To determine the weight of the skier at the midpoint of the concave section of the road, we need to calculate the centripetal force acting on the skier. The centripetal force is the force that keeps an object moving in a circular path.

The formula to calculate centripetal force is:

F = (m * v^2) / r

Where: - F is the centripetal force - m is the mass of the skier - v is the velocity of the skier - r is the radius of curvature of the road

Given: - Mass of the skier (m) = 50 kg - Velocity of the skier (v) = 36 km/h = 10 m/s - Radius of curvature of the road (r) = 20 m

Substituting the given values into the formula, we can calculate the centripetal force:

F = (50 kg * (10 m/s)^2) / 20 m

Calculating the above expression, we find:

F = 250 N

Therefore, the centripetal force acting on the skier is 250 Newtons.

Determining the Weight of the Skier:

The weight of an object is the force exerted on it due to gravity. It is given by the formula:

Weight = mass * gravitational acceleration

The gravitational acceleration on Earth is approximately 9.8 m/s^2.

Substituting the mass of the skier (m = 50 kg) into the formula, we can calculate the weight of the skier:

Weight = 50 kg * 9.8 m/s^2

Calculating the above expression, we find:

Weight = 490 N

Therefore, the weight of the skier is 490 Newtons.

Conclusion:

The weight of the skier at the midpoint of the concave section of the road is 490 Newtons.