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8 votes
8 votes
Calculate the combined mass of the two people if the tension of the cable is 1205.4 N

User Hilborn
by
2.4k points

2 Answers

13 votes
13 votes

Answer:

Step-by-step explanation:

Given:

P = 1205.4 N

g = 9.8 m/s²

___________

m - ?

m = P / g

m = 1205.4 / 9.8 ≈ 123 kg

User Denis Bubnov
by
3.2k points
26 votes
26 votes

Answer:

Let

T

be the tension of the cable and m

g

be the force of gravity. If the upward direction is positive, then Newton’s second law is T−mg=ma, where a is the acceleration. Thus, the tension is T=m(g+a). We use constant acceleration kinematics (Table 2-1) to find the acceleration (where v=0 is the final velocity, v

0

=−12m/s is the initial velocity, and y=−42m is the coordinate at the stopping point). Consequently, v

2

=v

0

2

+2ay leads to

a=−

2y

v

0

2

=−

2(−42m)

−12m/s

=1.71m/s

2

We now return to calculate the tension:

T=m(g+a)

=(1600kg)(9.8m/s

2

+171m/s

2

)

=1.8×10

4

N

User JBernardo
by
3.0k points