A 0.30-kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.20-kg puck that is initially moving along the x-axis with a velocity of 7.7 m/s. After the collision, the 0.20-kg puck has a speed of 4.6 m/s at an angle of

θ = 53°

to the positivex-axis.

(a) Determine the velocity of the 0.30-kg puck after the collision.

magnitude m/s
direction ° from the positive x-axis

(b) Find the fraction of kinetic energy lost in the collision.

|ΔKE|
KEi

Write the correct abbreviation for each metric unit

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j

Four identical lab carts each have a mass of 200 kg. different masses are added to the carts and the velocities are measured. all carts move to the right.