A particle whose mass is 3.0 kg is pushed along the x-axis with a time-varying force given by: F = 6.0 t2 − 2.0 t + 4.0. At t = 0, the particle is moving at a speed of 15 m/s. How fast (speed) is the particle moving at t = 3.0 s? ( F is in newton and t is in second)

Your 249 ml cup of coffee is too hot to drink when served at 82 degree celsius. what is the mass of an ice cube taken from a -21 degree celsius freezer, that will cool your coffee to a pleasant 54 degree celsius. specific heat of the water is 4190 j/kg c, specific heat of ice is 2090 j/kg c, heat of fusion of ice is 3.33 x 10^5 j/kg

The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].

Give an example in which the electrical energy changes to light energy