Question

Брусок масою 3 кг за допомогою пружини жорсткістю 60Н/м рівномірно тягнуть вздовж столаю. Чому дорівнює видовження пружини, якщо коефіцієнт тяртя між бруском і столом 0,2? завд. 2 По горизонтальному столі рівномірно тягнуть ящик масою 10 кг. Яку мінімальну силу вздовж стола потрібно при цьому прикладати, якщо коефіцієнт тертя ковзання між ящиком і столом дорівнює 0,3?

Answer 1

1) F=k*x
F=μmg
x=μmg/k
x=0.2*3*9.8/60=

2) F=μmg = 0.3*10*9.8=

Answer 2

Calculation of the Spring Extension

To calculate the extension of the spring, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the extension or compression of the spring. The formula for Hooke's Law is:

F = k * x

Where: - F is the force applied to the spring, - k is the spring constant (stiffness) of the spring, and - x is the extension or compression of the spring.

In this case, the force applied to the spring is the weight of the block, which is 3 kg * 9.8 m/s^2 (acceleration due to gravity) = 29.4 N.

The spring constant, k, is given as 60 N/m.

Using Hooke's Law, we can rearrange the formula to solve for x:

x = F / k

Substituting the given values, we get:

x = 29.4 N / 60 N/m = 0.49 m

Therefore, the extension of the spring is 0.49 meters.

Calculation of the Minimum Force Required to Slide the Box

To calculate the minimum force required to slide the box, we need to consider the force of friction between the box and the table. The formula for the force of friction is:

F_friction = μ * N

Where: - F_friction is the force of friction, - μ is the coefficient of friction, and - N is the normal force.

The normal force, N, is equal to the weight of the box, which is 10 kg * 9.8 m/s^2 = 98 N.

The coefficient of sliding friction, μ, is given as 0.3.

Using the formula for the force of friction, we can calculate the minimum force required to slide the box:

F_min = μ * N

Substituting the given values, we get:

F_min = 0.3 * 98 N = 29.4 N

Therefore, the minimum force required to slide the box along the table is 29.4 N.