Question

It takes a force of 150 newtons to move a 300 newton object up a ramp to a height of 3 meters. How could you reduce the amount of force needed to move an object?Select one:a. Make the ramp higher.b. Make the ramp longer.c. Make the ramp shorter.d. Lift the object without the ramp.

Answer 1

Step-by-step explanation

Step 1

Diagram:

Step 2

the work done by an object is defined as:

the product of the displacement of an object and the component of the applied force which is in the direction of the object's displacement:

`Work=force*distance*cos(angle)`

so,let

`\begin{gathered} displacement\text{ =}3m \\ force=\text{ 150 N} \end{gathered}`

therefore,l to reduce the amount of force needed , we need to affect the distnace or the angle

Step 3

let's check every option

A)Make the ramp higher.

as the distnace becomes greater the force must increase too, so this is not the rigth option,in other words , a higher distnace will neeed a stronger force

B)making the ramp longer will make the angle becomes smaller, and this makes the distance becomes greater,

C) when yuo make the ramp shorter ,you will need the same force because the displacementis vertical

when the angle becomes smaller, the work will be the same, but the distnace and force, change, cos

`\begin{gathered} Work=force*distance*cos(angle) \\ cos\text{ \lparen angle}\Rightarrow0)=1 \\ so,\text{ } \end{gathered}`

when the angle goes to 0° degrees the required force becomes smaller, so

the answer is

b. Make the ramp longer.

D)finally, if yuo lift the object witouth the ramp ( vertically) , the distnace becomes smaller, ( only 3 m),but the force is the total weigth of the object ( 300 N)

I hope this helps you