Question

При каком минимальном коофиценте трения между обувью и дорожкой спортсмен сможет побегать 100 метров за время 10сек начиная движение с нулевой скоростью ускоряясь только на первом участке S=20м.

Answer 1

Решение. S=0,5*a*t1^2+v*(t-t1);
a=k*g;
v=(2*k*g*S1)^0,5;
t1=(2*S1)/v;
S=0,5*k*g*(4*S1^2)/((2*k*g*S1)^0,5)+
((2*k*g*S1)^0,5)*(t-(2*S1)/((2*k*g*S1)^0,5)=....S=100;
S1=20;
 t=10;
 g=9,8;

Answer 2

Minimum Coefficient of Friction for Running 100 Meters in 10 Seconds

To calculate the minimum coefficient of friction required for a sportsman to run 100 meters in 10 seconds, starting from rest and accelerating only on the first part of the distance (S=20m), we can use the following formula:

S = ut + (1/2)at^2

Where: - S = distance covered (100m) - u = initial velocity (0 m/s, as the sportsman starts from rest) - t = time taken (10 seconds) - a = acceleration

By rearranging the formula, we get:

a = 2S / t^2

Substituting the given values: - S = 20m - t = 10s

We can calculate the acceleration (a) using the above formula. Once we have the acceleration, we can proceed to calculate the minimum coefficient of friction required for the given scenario.

Let's calculate the acceleration first.