if a force of 163 newtons is applied to the end of the jack handle the end moves down 15 cm. If lifting part of the jac raises the car bumper 1.75 cm what force is the jack exerting on the bumper
To find the force exerted by the jack on the car bumper, we can use the principle of mechanical advantage. The mechanical advantage is the ratio of the output force (the force on the car bumper) to the input force (the force applied to the end of the jack handle).
First, let's calculate the mechanical advantage of the jack. We know that the lifting part of the jack raises the car bumper 1.75 cm, while the end of the jack handle moves down 15 cm. The mechanical advantage of the jack can be determined by dividing the distance the bumper moves by the distance the handle moves:
Mechanical Advantage = Distance moved by bumper / Distance moved by handle
Mechanical Advantage = 1.75 cm / 15 cm
Next, we can calculate the force exerted on the car bumper by multiplying the mechanical advantage by the force applied to the end of the jack handle:
Force on bumper = Mechanical Advantage × Force on handle
Force on bumper = Mechanical Advantage × 163 N
By substituting the value of the mechanical advantage calculated earlier and the force applied to the end of the jack handle, we can find the force exerted on the car bumper.