Aspring (k = 190 n/m) is fixed at the top of a frictionless plane inclined at angle θ = 33 °. a 1.0 kg block is projected up the plane, from an initial position that is distance d = 0.60 m from the end of the relaxed spring, with an initial kinetic energy of 27 j. (a) what is the kinetic energy of the block at the instant it has compressed the spring 0.10 m? (b) with what kinetic energy must the block be projected up the plane if it is to stop momentarily when it has compressed the spring by 0.30 m?

Given the position vector of the particle r(t)=(t+1)i+(t^2−1)j+2t k, find the particle's velocity and acceleration vectors at t=1

By what factor does the drag force on a car increase as it goes from 65 to 110 km/h?

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 740 n/m. it is initially at rest on an inclined plane that is at an angle of theta= 26 with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is uk = 0.17. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. the block's initial mechanical energy is 9.472 j.b. if the spring pushes the block up the incline, what distance l in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.