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Question: A body of 10 kg is acted by a force of 129.4 N if \(g = 9.8 \mathrm {~m} / \mathrm { sec } ^ { 2 }\...

A body of 10 kg is acted by a force of 129.4 N if g=9.8 m/sec2g = 9.8 \mathrm {~m} / \mathrm { sec } ^ { 2 } . The acceleration of the block is 10 m/s210 \mathrm {~m} / \mathrm { s } ^ { 2 } . What is the coefficient of kinetic friction

A

0.03

B

0.01

C

0.30

D

0.25

Answer

0.30

Explanation

Solution

Net force on the body = Applied force – Friction

ma=Fμkmgm a = F - \mu _ { k } m gμk=Fmamg=129.410×1010×9.8=0.3\mu _ { k } = \frac { F - m a } { m g } = \frac { 129.4 - 10 \times 10 } { 10 \times 9.8 } = 0.3