Abucket of mass m is being drawn up a well by a rope which exerts a steady force p on the bucket. initially the bucket is at rest and contains a total mass m of water, but this leaks out at a constant rate, so that after a time t, before the bucket reaches the top, the bucket is empty.

find the velocity of the bucket just at the instant it becomes empty. express your answer in terms of p, m, m, t, and g, the acceleration due to gravity

Aparticle initially moving east with a speed of 20.0 m/s, experiences an acceleration of 3.95 m/s, north for a time of 8.00 s. what was the speed of the particle after this acceleration, in units of m/s? give the answer as a positive number.

Which statement is best supported by the information in the chart? wave y is moving the fastest. wave x is moving the fastest. all of the waves are moving at the same speed. all of the waves have the same value of wavelengths per second.

(2) (a) you have a simple circuit that consists of only a battery (δvbat=1.5v) and two resistors with resistance r1=10ω and r2=5ω, connected in series with each other. what is the current running through the battery? (b) you re-arrange your circuit so now r2 is attached in parallel to r1 rather than in series. what is the current running through the battery? (c) you add an additional resistor r3=7ω on the same branch as r2. what is the current running through the battery? (d) what is the power dissipated in r3?