Question

тело массой 100г. движется со скоростью 1 м/с по шероховатой поверхности с коэффицентом трения 0.1. На тело действует сила 0,05 H, направленная по направлению движения. Сколько метров проедет тело до остановки?

Answer 1

Простая задача, решение на скриншоте, главное, учитывать правильное расположение минусов.

Answer 2

Calculation of Distance Traveled by the Body

To calculate the distance traveled by the body before coming to a stop, we need to consider the forces acting on it and the frictional force opposing its motion.

Given: - Mass of the body (m) = 100 g = 0.1 kg - Initial velocity (v) = 1 m/s - Coefficient of friction (μ) = 0.1 - Applied force (F) = 0.05 H (assuming H is the unit of force)

To find the distance traveled, we can use the equation of motion:

\[v^2 = u^2 + 2as\]

where: - v is the final velocity (which is 0 m/s when the body comes to a stop) - u is the initial velocity (1 m/s) - a is the acceleration (which can be calculated using the net force acting on the body) - s is the distance traveled

First, let's calculate the net force acting on the body:

The net force (F_net) can be calculated using the equation:

\[F_net = F - F_friction\]

where: - F is the applied force (0.05 H) - F_friction is the frictional force opposing the motion, which can be calculated using the equation:

\[F_friction = μ * m * g\]

where: - μ is the coefficient of friction (0.1) - m is the mass of the body (0.1 kg) - g is the acceleration due to gravity (approximately 9.8 m/s^2)

Let's calculate the frictional force:

\[F_friction = 0.1 * 0.1 * 9.8\]

Now, let's calculate the net force:

\[F_net = 0.05 - F_friction\]

Next, we can calculate the acceleration using Newton's second law of motion:

\[F_net = m * a\]

Substituting the values:

\[0.05 - F_friction = 0.1 * a\]

Now, we can solve for the acceleration (a):

\[a = \frac{{0.05 - F_friction}}{{0.1}}\]

Finally, we can use the equation of motion to calculate the distance traveled (s):

\[0 = (1)^2 + 2 * a * s\]

Simplifying the equation:

\[s = -\frac{{1^2}}{{2 * a}}\]

Let's calculate the values and find the distance traveled.