To pass a physical fitness test, massimo must run 1250 m at an average rate of 2.0 m/s. he runs the first 1150 m in 500 s. can he pass the test? if so, determine at least how fast he must run the last 100 m.

If he runs the first 1150 m in 500 s he will pass the test.

  He need to run remaining 100 m at 0.8 m/s to pass the test

Explanation:

   We know the equation of motion , where s is the displacement, u is the initial velocity, t is the time taken and a is the acceleration.

   When he runs 1150 m in 500 s, s = 1150 m, t = 500 s and a = 0 .

    Substituting

     So his speed is more than 2 m/s, so he can pass the test.

 If massimo is covering  1250 m at an average rate of 2.0 m/s, time taken by him.

So he need to cover remaining 100 m in (625-500) = 125 seconds.

 Speed required = Distance /Time = 100/125 = 0.8 m/s.

  So he need to run remaining 100 m at 0.8 m/s to pass the test.

energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j