Question

Мотоцикл масою 240 кг підіймається вгору по схилу з прискоренням 2 м/с2 схил утворює кут 30градусів з горизонтом, коефіцієнт тертя дорівнює 0,1. Яку силу тяги розвиває двигун мотоцикла? Будь-ласка допоможіть з розв'язанням відома відповідь: 1884 Н

Answer 1

Переводчик: Мотоцикл массой 240 кг взбирается вверх по склону с ускорением 2 м/с2 склон образует угол 30градусов с горизонтом, коэффициент трения равен 0,1. какую силу тяги развивает двигатель мотоцикла?        

Answer 2

To calculate the force developed by the motorcycle engine, we need to consider the forces acting on the motorcycle. These forces include the force of gravity, the force of friction, and the force of acceleration.

Given information:

- Mass of the motorcycle (m) = 240 kg - Acceleration (a) = 2 m/s^2 - Angle of the incline (θ) = 30 degrees - Coefficient of friction (μ) = 0.1

Calculating the force of gravity:

The force of gravity acting on the motorcycle can be calculated using the formula: F_gravity = m * g where g is the acceleration due to gravity (approximately 9.8 m/s^2).

Substituting the given values: F_gravity = 240 kg * 9.8 m/s^2

Calculating the force of friction:

The force of friction can be calculated using the formula: F_friction = μ * F_normal where F_normal is the normal force acting on the motorcycle.

The normal force can be calculated using the formula: F_normal = m * g * cos(θ) where θ is the angle of the incline.

Substituting the given values: F_normal = 240 kg * 9.8 m/s^2 * cos(30 degrees)

Substituting the value of F_normal into the formula for F_friction: F_friction = 0.1 * (240 kg * 9.8 m/s^2 * cos(30 degrees))

Calculating the force of acceleration:

The force of acceleration can be calculated using the formula: F_acceleration = m * a

Substituting the given values: F_acceleration = 240 kg * 2 m/s^2

Calculating the total force:

The total force acting on the motorcycle can be calculated by summing the forces of gravity, friction, and acceleration: F_total = F_gravity + F_friction + F_acceleration

Substituting the previously calculated values: F_total = (240 kg * 9.8 m/s^2) + (0.1 * (240 kg * 9.8 m/s^2 * cos(30 degrees))) + (240 kg * 2 m/s^2)

Now we can calculate the value of F_total.

Let me do the math for you.