# How much work would it take to push a # 6 kg # weight up a # 12 m # plane that is at an incline of # pi / 4 #?

##### 1 Answer

Apr 2, 2016

51 Joules

#### Explanation:

Here,

Hypotenuse (h) = 12m

Angle of inclination (

Perpendicular (p) = ?

We have,

or,

or,

Hence, p = 8.5 m, which is the distance travelled.

Since work(W) is given by

W = F * S,

Where F = Force ( here weight) = 6 kg wt = 6 N

(Note kg wt, unlike kg, is same as Newton and is a unit of weight, not mass).

S is the distance traveled given by the perpendicular 8.5m

Therefore,