Question

Какую силу надо приложить, чтобы поднять по наклонной плоскости тело массой 7 кг с ускорением 2,4м/с² , если угол наклона плоскости к горизонту равен 15 градлусам? (трениπе не учитывать) помогите пожалуйста, срочно надо. Вместе с дано

Answer 1

Дано m=7 кг      a=2,4 м/с2    α=15°    Fтяг -   ?

Fтяг+m*g+N=m*a ( векторно)

ОX      Fтяг=m*a+m*g*sina=m*(g*sina+a)=7*(9,8*0,2588+2,4) Н

Answer 2

To calculate the force required to lift an object up an inclined plane, we can use the formula:

Force = Mass * Acceleration

Given: - Mass of the object (m) = 7 kg - Acceleration (a) = 2.4 m/s² - Angle of inclination (θ) = 15 degrees

To find the force, we need to resolve the weight of the object into two components: one parallel to the inclined plane and one perpendicular to it. The force required to lift the object is equal to the component of the weight parallel to the inclined plane.

Resolving the weight into components:

The weight of the object (W) can be calculated using the formula:

Weight = Mass * Gravity

where Gravity (g) is the acceleration due to gravity, approximately 9.8 m/s².

Weight = 7 kg * 9.8 m/s² = 68.6 N [[1]]

The component of the weight parallel to the inclined plane can be calculated using the formula:

Force_parallel = Weight * sin(θ)

where θ is the angle of inclination.

Force_parallel = 68.6 N * sin(15 degrees) = 17.6 N [[2]]

Therefore, the force required to lift the object up the inclined plane is approximately 17.6 Newtons.