Question

ОЧЕНЬ НАДО Сила 60 Н сообщает телу ускорение 0.8 м/с в квадрате . какая сила сообщит этому телу ускорение 2 м на секунду в квадрате? каково центростремительное ускорение поезда движущего по загруглению радиусом 800 м со скоростью 20 м на секунду какие силы надо приложить к концам проволки жесткость которой 100 кН/м чтобы растинуть ее на 1 мм

Answer 1

Calculating the force required to achieve a given acceleration

To calculate the force required to achieve a certain acceleration, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. The formula is:

Force = Mass x Acceleration In the given scenario, we have a force of 60 N and an acceleration of 0.8 m/s². We need to find the force required to achieve an acceleration of 2 m/s².

Let's assume the mass of the object remains constant. Rearranging the formula, we can solve for the new force:

New Force = Mass x New Acceleration

Substituting the given values:

New Force = Mass x 2 m/s²

Since the mass is constant, the force required to achieve an acceleration of 2 m/s² would be twice the force required to achieve an acceleration of 0.8 m/s².

Therefore, the force required to achieve an acceleration of 2 m/s² would be 120 N.

Calculating the centripetal acceleration of a train moving on a curved track

To calculate the centripetal acceleration of a train moving on a curved track, we can use the formula:

Centripetal Acceleration = (Velocity²) / Radius In the given scenario, we have a train moving with a velocity of 20 m/s and a curved track with a radius of 800 m. We need to find the centripetal acceleration.

Substituting the given values into the formula:

Centripetal Acceleration = (20 m/s)² / 800 m

Calculating the centripetal acceleration:

Centripetal Acceleration = 400 m²/s² / 800 m

Simplifying the expression:

Centripetal Acceleration = 0.5 m/s²

Therefore, the centripetal acceleration of the train moving on the curved track is 0.5 m/s².

Calculating the force required to stretch a wire

To calculate the force required to stretch a wire, we can use Hooke's Law, which states that the force required to stretch or compress a spring-like object is directly proportional to the displacement from its equilibrium position. The formula is:

Force = Spring Constant x Displacement In the given scenario, we have a wire with a stiffness (spring constant) of 100 kN/m and we need to find the force required to stretch it by 1 mm (0.001 m).

Substituting the given values into the formula:

Force = 100 kN/m x 0.001 m

Converting kN to N:

Force = 100,000 N/m x 0.001 m

Calculating the force required to stretch the wire:

Force = 100 N

Therefore, the force required to stretch the wire by 1 mm is 100 N.

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