A 15-g bullet is fired from a rifle. It takes

$$2.50 \times 10 ^ { - 3 } \mathrm { s }$$

for the bullet to travel the length of the barrel, and it exits the barrel with a speed of 715 m/s. Assuming that the acceleration of the bullet is constant, find the average net force exerted on the bullet.

A 1580-kg car is traveling with a speed of 15.0 m/s. What is the magnitude of the horizontal net force that is required to bring the car to a halt in a distance of 50.0 m?

Two skaters, a man and a woman, are standing on ice. Neglect any friction between the skate blades and the ice. The woman pushes on the man with a certain force that is parallel to the ground. (a) Must the man accelerate under the action of this force? If so, what three factors determine the magnitude and direction of his acceleration? (b) Is there a corresponding force exerted on the woman? If so, where does it originate? Is this force related to the magnitude and direction of the force the woman exerts on the man? If so, how? The mass of the man is 82 kg and that of the woman is 48 kg. The woman pushes on the man with a force of 45 N due east. Determine the acceleration (magnitude and direction) of (a) the man and (b) the woman.

For the linear equations below: $\bullet$ find coordinates of the y-intercept of the graph. $\bullet$ find coordinates of the x-intercepts of the graph. $\bullet$ sketch the graph of all solutions. a. 3x + 2y = 6 b. 8y - 4x = 24

Draw a possible graph of a continuous function y = f(x) that satisfies the following three conditions: $\bullet$ f'(x) > 0 for 1 < x < 3 $\bullet$ f'(x) < 0 for x < 1 and x > 3 $\bullet$ f'(x) = 0 at x = 1 and x = 3

Replace each $\bullet$ with < , >, or = to make a true sentence. $15 \bullet-6$

A 12-g bullet leaves a rifle horizontally at a speed of $180 \mathrm{~m} / \mathrm{s}$.(a) What is the wavelength of this bullet?

Describe the range of floors included in each of the remaining bins shown on the horizontal axis. $\bullet$ 2nd bin: interval 20-30 $\bullet$ 3rd bin: interval 30-40 $\bullet$ 4th bin: interval 40-50 $\bullet$ 5th bin: interval 50-60

At the instant a bullet is fired from a gun, the bullet and the gun have equal and opposite momenta. Which object-the bullet or the gun-has the greater kinetic energy? Explain. How does your answer apply to the observation that it is safe to hold a gun while it is fired, whereas the bullet is deadly?

Replace each $\bullet$ with < , >, or = to make a true sentence. $|13| \bullet|-13|$

The speed of a bullet is measured to be 640 m/s as the bullet emerges from a barrel of length 1.20 m.Assuming constant acceleration, find the time that the bullet spends in the barrel after it is fired.

Replace each $\bullet$ with $<,>$, or $=$ to make each sentence true.

$$-\sqrt{\frac{1}{4}} \bullet-\frac{1}{4}$$

A 100-g bullet is fired from a rifle having a barrel $0.600 \mathrm{~m}$ long. Assuming the origin is placed where the bullet begins to move, the force (in newtons) exerted by the expanding gas on the bullet is $15000+10000 x-25000 x^2$, where $x$ is in meters. (a) Determine the work done by the gas on the bullet as the bullet travels the length of the barrel

Replace each $\bullet$ with <, >, or = to make a true sentence. $-9 \bullet -16$