A special ladder used by firefighters is mounted on a hydraulic pump that permits the ladder to be rotated, tilted, and extended from a set of
controls on the fire engine. When a 70.0 kg firefighter is at the end of
the fully-extended ladder, and the ladder makes an angle of 10.0° with
the vertical, a torque of 7.08 x 10°N•m must be exerted by the ma-
chinery at the base of the ladder in order to keep the ladder from rotat-
ing. If the upward force exerted on the ladder at its base is 3.14 x 10° N,
what is the length of the ladder?

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?

You can melt ice by applying pressure because the solid/liquid line has a slope.

Suppose that two objects attract each other with a gravitational force of 16 units. if the distance between the two objects is double, what is the new force of attraction between the two objects?