A rock of mass 0.5 kg is launched straight up. A constant upward force of 405 N acted on the rock while it moved 25 cm upward starting from rest. Ignore air resistance. a. Find the launce speed using the work-energy theorem [use g = 10 m/s2 ]. b. Using energy ideas, find the maximum height above the launch point (25 cm) the rock will reach.​

An electron and a proton have the same kinetic energy upon entering a region of constant magnetic field and their velocity vectors are perpendicular to the magnetic field. suppose the magnetic field is strong enough to allow the particles to circle in the field. note: you'll need to look up the masses for an electron and proton. 1) what is the ratio of the radii of their circular paths rp/re?

Determine the maximum r-value of the polar equation r =3+3 cos 0

(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?