Question

a body covers a distance of 4m under the force F=(17-14x) where x is the distance in meters the work done by the force is 9n then n=___​

Answer 1

Answer:

a body covers a distance of 4m under the force F=(17-14x) where x is the distance in meters the work done by the force is 9n then n=_17$\frac{1}{3}$__​

Explanation:

Let's write the necessary formulas below.

Work = Force × Distance

From the given information, we can calculate the force acting on the body.

F = 17 - 14x

x = 4 meters

F = 17 - 14 × 4 = -39 N

The negative sign indicates the direction of the force.

So, the force acting on the object is 39 N

Now we have that:

Force = 39 N

Distance = 4 m

Work = 39 × 4 = 156 Jouls

Given that work is equal to 9n, we equate the two as follows:

9n = 156

n = 156/9

n = 17$\frac{1}{3}$

Answer 2

a body covers a distance of 4m under the force F=(17-14x) where x is the distance in meters the work done by the force is 9n then

$\huge \tt n = \frac{52}{3}$

Explanation :-

Let's write the necessary formulas below.

Work = Force × Distance

From the given information, we can calculate the force acting on the body.

F = 17 - 14x

x = 4 meters

F = 17 - 14 × 4 = -39 N

The negative sign indicates the direction of the force.

So, the force acting on the object is 39 N

Now we have that:

Force = 39 N

Distance = 4 m

Work = 39 × 4 = 156 Jouls

Given that work is equal to 9n, we equate the two as follows:

9n = 156

n = 156/9

$\huge \tt n = \frac{52}{3}$