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Blocks with masses of 1kg,2kgand3kgare lined up in a row on a frictionless table. All three are pushed forward by a 12Nforce applied to the 1kgblock.

a. How much force does the 2kgblock exert on the 3kgblock?

b. How much force does the 2kgblock exert on the1kgblock?

Short Answer

Expert verified

a. The 2kgblock exerts a force of 6Non the 3kgblock.

b. The 2kgblock exerts a force of10N on the 1kgblock.

Step by step solution

01

Part (a) Step 1 : Given information

Three blocks of 1kg,2kgand3kgare lined up in a row on a frictionless table. All three are pushed forward by a 12Nforce applied to the 1kgblock.

02

Part (a) Step 2 : Calculation

The force applied on the blocks is 12Nand the acceleration of the total system due to all masses is given by :-

localid="1650268035922" F=maa=F/m1+m2+m3a=12N/(1kg+2kg+3kg)a=12N/6kga=2m/s2

The 2kgmust push on the 3kgblock hard enough to accelerate it at 2m/s2and Force on 3 kg is given by :-

F=maF=3kg2m/s2F=6N

03

Part (a) Step 3 : Final answer

The 2kgblock exerts a force of 6Non the role="math" localid="1649451571902" 3kg block.

04

Part (b) Step 4 : Given information

Three blocks of 1kg,2kgand3kg are lined up in a row on a frictionless table. All three are pushed forward by a force of 12Napplied to the1kg block.

05

Part (b) Step 5 : Calculation

The total force on the 1kgblock would be 12-F. here force 'F' is the force 2kgblock exerted on the 1kgblock in backward direction.

Net force on 1 kg is given by :-

12-F=ma12-F=1kg2m/s2F=12-2F=10N

06

Part (a) Step 6 : Final answer

The 2kgblock exerts a force of localid="1650268222629" 10Non the 1kgblock.

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