Emily uses a rifle to shoot a bullet at a target. The bullet has a mass of 13 grams. The rifle has a mass of 3,500 grams. When she shoots, the bullet accelerates 850 m/s2. According to Newton’s third law of motion, the bullet is exerting the same force on the rifle. Why doesn’t the rifle accelerate 850 m/s2?

The force of the bullet is exerted in the same direction, toward the target.
The mass of the rifle is much greater than the mass of the bullet.
The mass of the bullet is much greater than the mass of the rifle.
The force of the bullet is not equal to the force of the rifle.

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

Which safety measures should you follow during a thunderstorm? check all that apply. (a) avoid touching anything that conducts electricity. (b) avoid touching a person who has been struck by lightning. (c) go outside. (d) keep your computer turned off. (e) stay out of water. (f) stay inside.

Which of the following are considered noble gases? a. bromine b. neon c. argon d. chlorine