Answer:
The mass of Laura and the sled combined is 887.5 kg
Explanation:
The total force due to weight of Laura and friction on the sled can be calculated as follows;
[tex]F_T = F_L+F_S[/tex]
= (400 + 310) N
= 710 N
From Newton's second law of motion, "the rate of change of momentum is directly proportional to the applied force.
[tex]F_T = \frac{(M_L+M_S)V}{t}[/tex]
where;
[tex]M_L[/tex] is mass of Laura and
[tex]M_S[/tex] is mass of sled
Mass of Laura and the sled combined is calculated as follows;
[tex](M_L+M_S) = \frac{F_T*t}{V}[/tex]
given
V = Δv = 4-0 = 4m/s
t = 5 s
[tex](M_L+M_S) = \frac{710*5}{4}\\\\(M_L+M_S) = 887.5 kg[/tex]
Therefore, the mass of Laura and the sled combined is 887.5 kg
