The magnitude of the force required to compress an imperfect horizontal spring a distance x is given by f=kx+bx3 where k = 120 n/m and b = 18 n/m3. if you use a 3.5-kg block to compress the spring a distance of 2.2 m and then let it go, what speed will the block have when it leaves the spring? assume the surfaces are smooth enough that any frictional forces can be neglected.

Abug is 12 cm from the center of a turntable that is rotating with a frequency of 45 rev/min . what minimum coefficient friction is required so that the bug stays on the turntable?

(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?

Auniform crate c with mass mc is being transported to the left by a forklift with a constant speed v1. what is the magnitude of the angular momentum of the crate about point a, that is, the point of contact between the front tire of the forklift and the ground