Question

Два бруска покоятся на гладкой горизонтальной плоскости.Между ними находится сжатая пружина.связанная нитью.После пережигания нити пружина полностью распрямляется и бруски начинают двигаться поступательно со скоростями 4м/с и 2 м/с.Вычислите потенциальную энергию,которая была запасена в пружине,если суммарная масса брусков 6 кг.

Answer 1

дано m1+m2=6 кг    V1=4 м/с   V2=2 м/с   E - ?
m1*V1 - m2*V2 = 0
m1*4 - (6-m1)2=0
4*m1 -12 +2m1=0
6*m1=12  
m1=2 кг  m2=4 кг
E = E1 +E2=m1*V1^2/2 +m2*V2^2/2=16+8=24 Дж

Answer 2

Calculation of Potential Energy Stored in the Spring

To calculate the potential energy stored in the spring, we can use the formula:

Potential Energy = (1/2) * k * x^2

Where: - k is the spring constant - x is the displacement of the spring from its equilibrium position

In this scenario, the spring is compressed and connected to two blocks. After the thread is burnt, the spring is fully extended, and the blocks start moving with velocities of 4 m/s and 2 m/s.

To calculate the potential energy, we need to find the spring constant and the displacement of the spring.

Finding the Spring Constant (k)

To find the spring constant, we need additional information about the system, such as the force constant of the spring or the force applied to compress the spring. Unfortunately, the given information does not provide any details about the spring constant.

Without the spring constant, we cannot calculate the potential energy stored in the spring.

Please provide additional information or clarify the problem statement so that we can proceed with the calculation.