Question

Хлопчик масою 50 кг біжить мостом зі швидкістю 3м/с. Визначе повну механічну енергію хлопчика, якщо його потенціальна енергія становить 315 Дж. Дякую!

Answer 1

E=Eк+Еп=Еп+mv2/2 E=315+50*9/2=

Answer 2

Calculation of the Total Mechanical Energy

To calculate the total mechanical energy of the boy, we need to consider both his potential energy and kinetic energy.

The potential energy (PE) of an object is given by the formula:

PE = mgh

where: - m is the mass of the object (in kilograms), - g is the acceleration due to gravity (approximately 9.8 m/s^2), - h is the height or vertical position of the object (in meters).

In this case, the potential energy of the boy is given as 315 J.

The kinetic energy (KE) of an object is given by the formula:

KE = (1/2)mv^2

where: - m is the mass of the object (in kilograms), - v is the velocity or speed of the object (in meters per second).

In this case, the boy is running with a speed of 3 m/s.

To calculate the total mechanical energy (ME) of the boy, we can add the potential energy and kinetic energy together:

ME = PE + KE

Let's calculate the total mechanical energy of the boy.

Calculation:

Given: - Mass of the boy (m) = 50 kg - Potential energy (PE) = 315 J - Speed of the boy (v) = 3 m/s

Using the formulas mentioned above, we can calculate the kinetic energy (KE) and the total mechanical energy (ME).

1. Calculation of Kinetic Energy (KE):

KE = (1/2)mv^2

Substituting the given values:

KE = (1/2)(50 kg)(3 m/s)^2

Simplifying the equation:

KE = (1/2)(50 kg)(9 m^2/s^2)

KE = 225 J

2. Calculation of Total Mechanical Energy (ME):

ME = PE + KE

Substituting the given values:

ME = 315 J + 225 J

Simplifying the equation:

ME = 540 J

Therefore, the total mechanical energy of the boy is 540 J.

Please note that the calculations provided above are based on the given information and assumptions.