Find the Difference in Tension: Steel Cable & 20kg Block

There are two. The tension on the left end and the tension on the right end. The difference between the two is the NET force.In summary, a 90.0 N force applied to a massive steel cable causes a 20.0 kg block to reach a speed of 3.60 m/s in 2.40 s on a horizontal, frictionless surface. The difference in tension between the two ends of the cable is 30 N.
  • #1

Homework Statement


A massive steel cable drags a 20.0 kg block across a horizontal, frictionless surface. A 90.0 N force applied to the cable causes the block to reach a speed of 3.60 m/s in 2.40 s.
What is the difference in tension between the two ends of the cable?

Homework Equations



F=ma
a=v/t

The Attempt at a Solution



a=3.6/2.4= 1.5 m/s2

90N=m*1.5
m=60
m(block)=20kg
m(cable)=40kg

F=40*1.5=60

90-60=30

Just looking at the numbers it doesn't look right

Thanks all for your help
 
Last edited:
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  • #2
madskier8806 said:

Homework Statement


A massive steel cable drags a 20.0 kg block across a horizontal, frictionless surface. A 90.0 N force applied to the cable causes the block to reach a speed of 3.60 m/s in 2.40 s.
What is the difference in tension between the two ends of the cable?

Homework Equations



F=ma
a=v/t

The Attempt at a Solution



a=3.6/2.4= 1.5 m/s2yes

90N=m*1.5
m=60
m(block)=20kg
m(cable)=40kgyes

F=40*1.5=60 this is F_net

90-60=30no

Just looking at the numbers it doesn't look right

Thanks all for your help
looks like you isolated the rope and came up with the NET force on the rope. Try drawing a FBD of the block. Or identify all forces acting on the rope.
 

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