Question

Потенціальна енергія кульки на висоті 450 см дорівнює 18 Дж. Визначте масу кульки.​

Answer 1

Ответ:

m = 0,4

Объяснение:

Answer 2

Calculation of Potential Energy

The potential energy of an object at a certain height is given by the formula:

Potential Energy = mass * gravitational acceleration * height

In this case, the potential energy of the ball at a height of 450 cm is given as 18 J. We need to determine the mass of the ball.

Let's assume the mass of the ball is 'm' and the gravitational acceleration is 'g'.

Using the given information, we can set up the equation as follows:

18 J = m * g * 450 cm

To solve for the mass of the ball, we need to convert the height from centimeters to meters and the potential energy from joules to newton-meters (also known as joules).

Converting the height from centimeters to meters:

450 cm = 450/100 = 4.5 m

Converting the potential energy from joules to newton-meters:

18 J = 18 Nm

Now, we can rewrite the equation as:

18 Nm = m * g * 4.5 m

Calculation of Mass

To find the mass of the ball, we need to know the value of the gravitational acceleration 'g'. The standard value for gravitational acceleration on Earth is approximately 9.8 m/s^2.

Using this value, we can rearrange the equation to solve for the mass 'm':

18 Nm = m * 9.8 m/s^2 * 4.5 m

Simplifying the equation:

18 Nm = 44.1 m^2/s^2 * m

Dividing both sides of the equation by 44.1 m^2/s^2:

m = 18 Nm / 44.1 m^2/s^2

Calculating the mass:

m ≈ 0.408 kg

Therefore, the mass of the ball is approximately 0.408 kg.