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Question: A body of mass 10kg at rest is acted upon simultaneously by two forces 4 N and 3N at right angles to...

A body of mass 10kg at rest is acted upon simultaneously by two forces 4 N and 3N at right angles to each other. The kinetic energy of the body at the end of 10 sec is

A

100 J

B

300 J

C

50 J

D

125 J

Answer

125 J

Explanation

Solution

Net force on body =42+32=5N= \sqrt { 4 ^ { 2 } + 3 ^ { 2 } } = 5 N

∴ a=F/m=5/10=1/2 m/s2a = F / m = 5 / 10 = 1 / 2 \mathrm {~m} / \mathrm { s } ^ { 2 }

Kinetic energy = 12mv2\frac { 1 } { 2 } m v ^ { 2 }