Question

Тело массой 5кг за промежуток времени 3с изменило скорость с 2м/с до 4м/с Определитеa)ускорение телаb)модуль равнодействующей силы c)импульс силы ,действующей на телоc)перемещение тела за время,в течение которого произошло изменение скоростиd)импульс силы действующий на тело

Answer 1

Ответ:

Объяснение:

Импульс силы

Answer 2

Calculation of Acceleration (a):

To calculate the acceleration of the body, we can use the formula:

Acceleration (a) = (Change in velocity) / (Time taken)

Given that the change in velocity is from 2 m/s to 4 m/s and the time taken is 3 seconds, we can substitute these values into the formula:

Acceleration (a) = (4 m/s - 2 m/s) / 3 s

Simplifying the equation, we get:

Acceleration (a) = 2 m/s / 3 s

Therefore, the acceleration of the body is 0.67 m/s².

Calculation of Resultant Force (F):

To calculate the magnitude of the resultant force acting on the body, we can use Newton's second law of motion:

Resultant Force (F) = Mass (m) × Acceleration (a)

Given that the mass of the body is 5 kg and the acceleration is 0.67 m/s², we can substitute these values into the formula:

Resultant Force (F) = 5 kg × 0.67 m/s²

Simplifying the equation, we get:

Resultant Force (F) = 3.35 N

Therefore, the magnitude of the resultant force acting on the body is 3.35 N.

Calculation of Impulse (J):

The impulse of a force is defined as the change in momentum of an object. It can be calculated using the formula:

Impulse (J) = Force (F) × Time (t)

Given that the force acting on the body is 3.35 N and the time taken is 3 seconds, we can substitute these values into the formula:

Impulse (J) = 3.35 N × 3 s

Simplifying the equation, we get:

Impulse (J) = 10.05 N·s

Therefore, the impulse of the force acting on the body is 10.05 N·s.

Calculation of Displacement (s):

To calculate the displacement of the body during the time interval, we can use the formula:

Displacement (s) = Average Velocity (v) × Time (t)

Since the average velocity is the average of the initial and final velocities, we can calculate it as:

Average Velocity (v) = (Initial Velocity + Final Velocity) / 2

Given that the initial velocity is 2 m/s, the final velocity is 4 m/s, and the time taken is 3 seconds, we can substitute these values into the formula:

Average Velocity (v) = (2 m/s + 4 m/s) / 2

Simplifying the equation, we get:

Average Velocity (v) = 3 m/s

Now, we can calculate the displacement using the average velocity and time:

Displacement (s) = 3 m/s × 3 s

Simplifying the equation, we get:

Displacement (s) = 9 m

Therefore, the displacement of the body during the time interval is 9 meters.

Calculation of Impulse on the Body:

The impulse on the body can be calculated using the formula:

Impulse (J) = Change in Momentum (Δp)

Since impulse is equal to the change in momentum, we can calculate it as:

Impulse (J) = Mass (m) × Change in Velocity (Δv)

Given that the mass of the body is 5 kg and the change in velocity is from 2 m/s to 4 m/s, we can substitute these values into the formula:

Impulse (J) = 5 kg × (4 m/s - 2 m/s)

Simplifying the equation, we get:

Impulse (J) = 10 kg·m/s

Therefore, the impulse on the body is 10 kg·m/s.

Please let me know if there's anything else I can help you with!