
Как изменилась скорость автомашины m=1 т, если на ней в течении времени t=2 мин действовала сила
F=83,2 H?Начальная скорость машины V₀=36 км/ч.

Ответы на вопрос




Увеличится на 9,6м/с



Calculation of the Change in Speed
To calculate the change in speed of a car, we can use 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 car is given as 83.2 H (H being the unit of force), the mass of the car is 1 ton (m = 1 t), and the time during which the force acts is 2 minutes (t = 2 min).
To calculate the acceleration, we need to convert the force and mass to the appropriate units. The force can be converted from H to N (Newtons), and the mass can be converted from tons to kilograms (kg).
1 H = 1 N 1 t = 1000 kg
Converting the force and mass: - Force (F) = 83.2 H = 83.2 N - Mass (m) = 1 t = 1000 kg
Now, we can calculate the acceleration (a) using Newton's second law:
F = m * a
Rearranging the equation to solve for acceleration: a = F / m
Substituting the values: a = 83.2 N / 1000 kg
Calculating the acceleration: a = 0.0832 m/s^2
Now that we have the acceleration, we can calculate the change in speed using the initial velocity (V₀) and the time (t) during which the force acts. The initial velocity is given as 36 km/h, and the time is given as 2 minutes.
First, we need to convert the initial velocity from km/h to m/s:
1 km/h = 0.2778 m/s
Converting the initial velocity: V₀ = 36 km/h = 36 * 0.2778 m/s
Calculating the initial velocity: V₀ = 10 m/s
Now, we can calculate the change in speed (ΔV) using the formula:
ΔV = a * t
Substituting the values: ΔV = 0.0832 m/s^2 * 2 min
Note: We need to convert the time from minutes to seconds.
1 min = 60 s
Converting the time: t = 2 min = 2 * 60 s
Calculating the change in speed: ΔV = 0.0832 m/s^2 * 120 s
Simplifying the calculation: ΔV = 9.984 m/s
Therefore, the change in speed of the car is approximately 9.984 m/s.


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