Anil has a two-wheeler that weighs 120 kg. After completing his work, he used to park his vehicle in the regular parking place which is in connected to the ground with a ramp of inclination `45^(@)`. If the length of ramp is 1 m, then calculate the work done by Anil to park the vehicle anginst gravity. (`(g=10ms^(-2))`

Options

A. 10500 J
B. 1005 J
C. 1050 J
D. 1500 J

Answer

C

Explanation

AC = 100, cm BC = BA ,` AC^(2) = AB^(2) + BC^(2)`
Since inclination is `45^(@) , AB BC `
Therefore, ` AC^(2) = 2 AB ^(2)`
`rArr AB = sqrt""(10000//2) = 50 xx 1. 4 = 70 cm = 0.7 m `
The work done by Anil to park the vehicle against gravity ` = mgh = mg xx AB ` (since h = AB)

` = 120 xx 10 xx 0.7`
= 1.050 J