Question

СРОЧНО!!!! даю 100 Баллов!!!!! Алюминиевый шар диметром 10 см движется с ускорением 0,5 м/с2. Определите модуль равнодействующей всех сил, действующих на шарик. С подробным решением

Answer 1

Ответ:

0.765H

я из интернет урока

Объяснение:

Дано:

d = 10sm=0.1m

a=0.5m/s2

p= 2700 кг/м3

Решение

F=p*pi*d^3*a/6

F=2700*3.14*0.1^3*0.5/6=0.765H

Answer 2

Calculation of the Resultant Force on the Aluminum Ball

To determine the magnitude of the resultant force acting on the aluminum ball, we need to consider all the forces acting on it. In this case, we have the force of gravity and the force due to acceleration.

1. Force of Gravity: The force of gravity acting on an object can be calculated using the formula: F_gravity = m * g where m is the mass of the object and g is the acceleration due to gravity.

Since we are not given the mass of the aluminum ball, we cannot calculate the force of gravity directly. However, we can assume that the mass of the ball is proportional to its volume, which is determined by its diameter.

The formula for the volume of a sphere is: V = (4/3) * π * r^3 where V is the volume and r is the radius of the sphere.

In this case, the diameter of the ball is given as 10 cm, so the radius is 5 cm or 0.05 m.

Plugging the values into the formula, we can calculate the volume of the ball: V = (4/3) * π * (0.05)^3

Now, assuming the density of aluminum is approximately 2700 kg/m^3, we can calculate the mass of the ball: m = density * V

With the mass of the ball, we can calculate the force of gravity: F_gravity = m * g

2. Force due to Acceleration: The force due to acceleration can be calculated using Newton's second law of motion: F_acceleration = m * a where m is the mass of the object and a is the acceleration.

In this case, the acceleration is given as 0.5 m/s^2.

3. Resultant Force: To find the magnitude of the resultant force, we need to calculate the vector sum of the force of gravity and the force due to acceleration. Since the forces are acting in the same direction, we can simply add their magnitudes.

Resultant Force = F_gravity + F_acceleration

Now, let's calculate the values step by step.

Calculation Steps:

1. Calculate the volume of the aluminum ball: - Radius (r) = 0.05 m - Volume (V) = (4/3) * π * (0.05)^3

2. Calculate the mass of the aluminum ball: - Density of aluminum ≈ 2700 kg/m^3 - Mass (m) = Density * Volume

3. Calculate the force of gravity: - Acceleration due to gravity (g) ≈ 9.8 m/s^2 - Force of Gravity (F_gravity) = Mass * g

4. Calculate the force due to acceleration: - Acceleration (a) = 0.5 m/s^2 - Force due to Acceleration (F_acceleration) = Mass * a

5. Calculate the magnitude of the resultant force: - Resultant Force = F_gravity + F_acceleration

Solution:

Let's calculate the values using the given information:

1. Calculate the volume of the aluminum ball: - Radius (r) = 0.05 m - Volume (V) = (4/3) * π * (0.05)^3

Volume (V) ≈ 5.24 x 10^-5 m^3 2. Calculate the mass of the aluminum ball: - Density of aluminum ≈ 2700 kg/m^3 - Mass (m) = Density * Volume

Mass (m) ≈ 0.141 kg 3. Calculate the force of gravity: - Acceleration due to gravity (g) ≈ 9.8 m/s^2 - Force of Gravity (F_gravity) = Mass * g

Force of Gravity (F_gravity) ≈ 1.38 N 4. Calculate the force due to acceleration: - Acceleration (a) = 0.5 m/s^2 - Force due to Acceleration (F_acceleration) = Mass * a

Force due to Acceleration (F_acceleration) ≈ 0.071 N 5. Calculate the magnitude of the resultant force: - Resultant Force = F_gravity + F_acceleration

Resultant Force ≈ 1.45 N

Therefore, the magnitude of the resultant force acting on the aluminum ball is approximately 1.45 N.