Physics: :a 70 kg man and a 12 kg sled are on the frictionless ice of a frozen lake, 25 m apart but connected by a rope of negligible mass. the man exerts a horizontal 8.2 n force on the rope. how long (in seconds) does it take from the man’s initial position until they meet?

The correct answer would be a complex system.Explanation:...

:a 70 kg man and a 12 kg sled are on the frictionless

kayydee23

07.01.2022

x_1 = 3.74m

Explanation:

given,

mass of man = 70 kg

mass of sled = 12 kg

F = m a_s

$a_s = \dfrac{F}{m}$

$a_s = \dfrac{8.2}{12}$

$a_s = 0.68\ m/s^2$

F = m a_m

$a_m = \dfrac{F}{m}$

$a_m = \dfrac{8.2}{70}$

$a_m = 0.12\ m/s^2$

x_1+x_2 = 25

$\dfrac{1}{2}a_ct^2+ \dfrac{1}{2}a_mt^2 = 25$

(a_c+a_m)t^2=50

(0.12+0.68)t^2=50

$t = \sqrt{\dfrac{50}{0.8}}$

t = 7.90 s

$x_1 = \dfrac{1}{2}a_ct^2$

$x_1 = 0.5\times 0.12 \times 7.90^2$

x_1 = 3.74m

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