a torque of 100Nm is required to open a door. WHAT IS the minimum distance of the handle fromt he hinge. if the door is to be pulled open wth a force at handle not greater than 50N?

At least .

Explanation:

The torque that a force exerts on a lever is equal the product of the following:

.

The force in this question is (at most) . That is: .

is maximized when . In other words, the force on the door gives the largest-possible torque when that force is applied perpendicular to the door. When , .

If the force here is applied at a distance of meters away from the hinge (the fulcrum of this door,) the torque generated would be:

.

That torque is supposed to be at least . That is:

.

.

In other words, the force needs to be applied at a point a minimum distance of away from the hinge of this door.

b) phosphorus pentoxide

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles