Question

Под действием некоторой силы тележка массой 200 г, двигаясь из состояния покоя прошла путь 32 см. Когда на тележку положили груз, то под действием той же силы за это время тележка прошла путь 24 см. Какова масса груза?

Answer 1

Calculation of the mass of the load

To calculate the mass of the load, we can use the concept of 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.

In this case, the force acting on the cart is the same in both scenarios (when it is empty and when the load is placed on it). Therefore, we can equate the force in both cases and solve for the mass of the load.

Let's denote the mass of the load as m.

When the cart is empty: - Mass of the cart (m1) = 200 g = 0.2 kg - Distance traveled by the cart (s1) = 32 cm = 0.32 m

When the load is placed on the cart: - Mass of the cart + load (m2) = 200 g + m - Distance traveled by the cart (s2) = 24 cm = 0.24 m

According to Newton's second law, the force acting on the cart is the same in both cases. Therefore, we can write the following equation:

Force1 = Force2

The force acting on the cart can be calculated using the formula:

Force = mass * acceleration

Since the cart starts from rest and moves with a constant force, the acceleration can be calculated using the formula:

Acceleration = (2 * distance) / (time^2)

Let's calculate the acceleration in both cases:

Acceleration1 = (2 * s1) / (t^2) Acceleration2 = (2 * s2) / (t^2)

Since the time taken to travel the distance is the same in both cases, we can equate the accelerations:

Acceleration1 = Acceleration2

Substituting the values, we get:

(2 * s1) / (t^2) = (2 * s2) / (t^2)

Simplifying, we get:

s1 = s2

Substituting the values, we get:

0.32 = 0.24

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