If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is v = mg c (1 − e−ct/m) where g is the acceleration due to gravity and c is a positive constant describing air resistance. (a) calculate lim t→∞ v. what is the meaning of this limit? it is the speed the object approaches as time goes on. it is the time it takes for the object to stop. it is the time it takes the object to reach its maximum speed. it is the speed the object reaches before it starts to slow down. (b) for fixed t, use l'hospital's rule to calculate lim c→0+ v. what can you conclude about the velocity of a falling object in a vacuum? the heavier the object is the faster it will fall in a vacuum. an object falling in a vacuum will accelerate at a slower rate than an object not in a vacuum. the velocity of a falling object in a vacuum is directly proportional to the amount of time it falls. the velocity of a falling object is proportional to its mass in a vacuum.

Aroll in a paper machine is powered by a separately excited dc machine. operating point 1 (under load): the roll typically operates at 764 rpm and must provide 301 nm of torque to oppose the load of the paper. the armature voltage is 230v for this operating point operating point 2 (no load): when the load is removed the speed of the roll increases to 900 rpm (the field characteristics are unchanged) la ea dev m (a) calculate the maximum torque (units of nm) that the motor can supply with this applied voltage (b) calculate the value of the armature resistance, ra (in ohms) (c) at operating point 1 (loaded condition), the field current, i, and the total input power (armature field), are measured to be to be 10 a and 28,600 w respectively. use this information to calculate the value of the field resistance, rf (in ohms). (d) (d) at operating point 1 (loaded condition), calculate the motor efficiency. express your answer as a percent to at least 2 significant digits. (d) if the field voltage is reduced by 1/2, calculate the new stall torque (in nm) of the motor (f). if the field voltage is reduced by 1/2, calculate the new no-load speed (in rad/sec)

According to newtons universal law of gravitation, which would change the parh of the ball so it traces out widest curved path possible?

What is the most useful equation for electric power?