Solution of problem D1 option 21 (D1-21) - Dievsky V.A.

Problem D1-21 is to determine the initial braking speed and stopping time of a car moving along a straight horizontal section of track when braking, if the braking distance is s = 17 m, and the magnitude of the motion resistance force is equal to 0.3 of the weight of the car.

To solve the problem it is necessary to use the laws of body dynamics. From the equation of uniformly accelerated motion:

s = (v^2 - u^2) / (2a),

where s is the braking distance, v is the final speed (equal to zero), u is the initial speed, a is the braking acceleration.

From the motion resistance force equation:

F_resistance = k * m * g,

where F_resistance is the force of resistance to movement, k is the drag coefficient, m is the mass of the car, g is the acceleration of free fall.

The force of resistance to movement is equal to 0.3 of the weight of the car, that is:

F_sopr = 0.3 * m * g.

Then the braking acceleration can be expressed as follows:

a = F_sopr / m = 0.3 * g.

Substituting this acceleration value into the equation of uniformly accelerated motion, we obtain:

u = sqrt(2as) = ​​sqrt(2 * 0.3 * 9.81 * 17) ≈ 16.22 m/s.

Thus, the initial braking speed of the car is about 16.22 m/s. To find the stopping time, you can use the equation:

t = (v - u) / a,

where v is the final speed (equal to zero). Substituting the known values, we get:

t = u / a = sqrt(2s / 0.3g) ≈ 5.39 sec.

Thus, the time elapsed before the car stops is approximately 5.39 seconds.

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This product is a solution to problem D1-21, which consists of determining the initial braking speed and stopping time of a car moving along a straight horizontal section of track when braking. The solution uses the laws of body dynamics, as well as the equation of uniformly accelerated motion and the equation of the force of resistance to motion.

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By purchasing a digital product - solution to problem D1 option 21 (D1-21) - Dievsky V.A., you get access to a complete and accurate solution to this problem. This product can be useful both for students studying physics and for teachers using this problem as teaching material.

The digital goods store presents a digital product - solution to problem D1 option 21 (D1-21) from the author V.A. Dievsky. This product is a complete and accurate solution to the problem, which is to determine the initial braking speed and stopping time of a car moving along a straight horizontal section of track when braking. The solution uses the laws of body dynamics, as well as the equation of uniformly accelerated motion and the equation of the force of resistance to motion.

By purchasing this product, you get access to a beautifully designed HTML document that allows you to conveniently view and study the solution to the problem. This product can be useful both for students studying physics and for teachers using this problem as teaching material. The solution was carried out by the author Dievsky V.A. and is a digital product that can be easily purchased in our store.

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The solution to problem D1 option 21 (D1-21) is an educational and methodological material developed by the author Dievsky V.A. to prepare for the mathematics exam in higher education institutions. This material presents a detailed solution to problem D1 option 21, which is included in the list of exam tasks. The solution to this problem contains step-by-step calculations and explanations that will help students better understand mathematical concepts and learn how to solve similar problems. Solving problem D1 option 21 (D1-21) is a useful tool for anyone who is preparing for a mathematics exam and wants to improve their level of knowledge in this area.

The solution to problem D1-21, proposed by the author V.A. Dievsky, is to determine the initial braking speed and the time elapsed before stopping a car that was moving along a straight horizontal section of the track and had a braking distance s = 17 m.

It is also known that the magnitude of the resistance to movement is 0.3 of the weight of the car. To solve the problem, you will likely need to use the laws of motion of a body, in particular the equation of uniformly accelerated motion, as well as the relationships between force, mass and acceleration.

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