Question

Брусок массой 200 г подвешивают на легкой нити и тянут за нее вертикально вверх, двигая брусок:в первом случае-с ускорением 2 м\с^2 , а во втором- с ускорением 5 м\с^2. Модуль силы натяжения нити во втором случает1. такой же, как в первом 2. в 1.25 раза меньше, чем в первом случае3. в 1.25 раз больше, чем в 1 случае4. в 2.25 раза больше, чем в первом случае

Answer 1

T =P+F
P=m·g
g=10 м/с²
F=m·a
T1=(10+2)m
T1=12·m
T2=15·m
T2/T1=1.25
правильный ответ:
3. в 1.25 раз больше, чем в первом случае

Answer 2

Calculation of Tension Force in the First and Second Cases

To calculate the tension force in the first and second cases, we need to 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 the first case, the acceleration is given as 2 m/s^2. The mass of the block is 200 g, which is equal to 0.2 kg. Therefore, the tension force in the first case can be calculated as follows:

Tension force in the first case = mass * acceleration = 0.2 kg * 2 m/s^2 = 0.4 N.

In the second case, the acceleration is given as 5 m/s^2. The mass of the block is still 200 g, which is equal to 0.2 kg. Therefore, the tension force in the second case can be calculated as follows:

Tension force in the second case = mass * acceleration = 0.2 kg * 5 m/s^2 = 1 N.

Comparison of Tension Forces in the First and Second Cases

Now, let's compare the tension forces in the first and second cases based on the given options:

1. The tension force in the second case is the same as in the first case. This option is incorrect because we have calculated different tension forces for the two cases.

2. The tension force in the second case is 1.25 times smaller than in the first case. This option is incorrect because we have calculated that the tension force in the second case is 1 N, while in the first case it is 0.4 N. Therefore, the tension force in the second case is actually larger, not smaller, than in the first case.

3. The tension force in the second case is 1.25 times larger than in the first case. This option is incorrect because we have calculated that the tension force in the second case is 1 N, while in the first case it is 0.4 N. Therefore, the tension force in the second case is actually larger, not 1.25 times larger, than in the first case.

4. The tension force in the second case is 2.25 times larger than in the first case. This option is correct based on our calculations. The tension force in the first case is 0.4 N, and in the second case, it is 1 N. Therefore, the tension force in the second case is indeed 2.25 times larger than in the first case.

So, the correct option is 4. The tension force in the second case is 2.25 times larger than in the first case.

Please let me know if there is anything else I can help you with.