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 2.0 m/s. After the collision, the 0.20-kg puck has a speed of 1.0 m/s at an angle of $\theta = 53 ^ { \circ }$ to the positive x-axis. Find the fraction of kinetic energy lost in the collision.

The $0.20 \mathrm{~kg}$ puck on the NT frictionless, the horizontal table in as we discussed earlier is connected by a string through a hole in the table to a hanging $1.20 \mathrm{~kg}$ block. With what speed must the puck rotate in a circle of radius $0.50$ $\mathrm{m}$ if the block is to remain hanging at rest?

A 20.0-kg toboggan with 70.0-kg driver is sliding down a frictionless chute directed 30.0$^ { \circ }$ below the horizontal at 8.00 m/s when a 55.0-kg woman drops from a tree limb straight down behind the driver. If she drops through a vertical displacement of 2.00 m, what is the subsequent velocity of the toboggan immediately after impact?

An initially stationary 2.0 kg object accelerates horizontally and uniformly to a speed of 10 m/s in 3.0 s. What is the instantaneous power due to that force at the end of the first half of the interval?

dichotomous key template

A block of mass 2.00 kg slides eastward along a frictionless surface with a speed of 2.70 m/s. A chunk of clay with a mass of 1.50 kg slides southward on the same surface with a speed of 3.20 m/s. The two objects collide and move off together. What is their velocity after the collision?

Write without a fraction. $\frac{6}{c^{11}}$

Solve the problem using the percent equation. Every day, school bus 101 carries 40 students to and from school. Fifteen of the students live more than 10 miles from school. What percent of the students live more than 10 miles from school?

A cue ball traveling at 4.00 m/s makes a glancing, elastic collision with a target ball of equal mass that is initially at rest. The cue ball is deflected so that it makes an angle of $30.0 ^ { \circ }$ with its original direction of travel. Find the angle between the velocity vectors of the two balls after the collision.

In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing suddenly drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a static coefficient of friction against steel in the range 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. What is the minimum rotational frequency, in rpm, for which the ride is safe?

A $0.20$-kg puck slides across a frictionless floor with a speed of $10$ m/s. The puck strikes a wall and bounces off with a speed of $10$ m/s in the opposite direction. $(a)$ The magnitude of the impulse on the puck is $\quad(A)$ $0$ kg $\cdot$ m/s. $\quad(B)$ $1$ kg $\cdot$ m/s. $\quad(C)$ $2$ kg $\cdot$ m/s. $\quad(D)$ $4$ kg $\cdot$ m/s. $(b)$ The net work done on the puck is $\quad(A)$ $-20$ $J$. $\quad(B)$ $-10$ $J$. $\quad(C)$ $0$ $J$. $\quad(D)$ $20$ $J$.

A 2.0-g particle moving at 8.0 m/s makes a perfectly elastic head-on collision with a resting 1.0-g object. Find the speed of each particle after the collision if the stationary particle has a mass of 10 g.

A puck with mass $0.16 \mathrm{~kg}$ slides along a frictionless horizontal surface at $5.5 \mathrm{~m} / \mathrm{s}$. It hits and sticks to the free end of a spring with $k=15 \mathrm{~N} / \mathrm{m}$ (Figure P7.64). Find the amplitude and period of the subsequent simple harmonic motion.

In a Broadway performance, an 80.0-kg actor swings from a 3.75-m-long cable that is horizontal when he starts. At the bottom of his arc, he picks up his 55.0-kg costar in an inelastic collision. What maximum height do they reach after their upward swing?