Question

In: Physics

A 34 kg cheetah waits to stalk its prey in the desert, tentatively watching a gazelle....

A 34 kg cheetah waits to stalk its prey in the desert, tentatively watching a gazelle.

A. Once he decides to attack, how much net force must the cheetah apply to itself to reach 29 m/s directly west in 3.1 seconds?

b. Shortly after reaching top speed, the cheetah must navigate around a tree. If the cheetah is now moving 23.5 m/s north, what is its change in momentum?

c. Realizing the gazelle he thought he saw was simply a mirage, the cheetah decides to change his course and go hunting elsewhere. Not in much of a hurry the cheetah now moves 23 degrees west of north at 13 m/s. what is the cheetah's new change in momentum?

Solutions

Expert Solution

------------------------------ Solution of part A ---------------------------------

mass of cheeta = 34 Kg

final velocity = 29 m/s

time taken = 3.1 s

and

So force required by cheeta is 318.065 N

------------------------------ Solution of part B ---------------------------------

change in momentum = fnal momentum - initial momentum

------------------------------ Solution of part C ---------------------------------

change in momentum = fnal momentum - initial momentum


Related Solutions

A cheetah spots a Thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to...
A cheetah spots a Thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of 30 m/sm/s, the highest of any land animal. However, a cheetah can maintain this extreme speed for only 15 ss before having to let up. The cheetah is 310 mm from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible reaction time, the gazelle heads directly away from the cheetah,...
Two friends Colby [mass mC = 34 kg] and Charlie [mass mCh = 42 kg] are...
Two friends Colby [mass mC = 34 kg] and Charlie [mass mCh = 42 kg] are avid swimmers. Colby is a master swimmer, while Charlie only swims recreationally. They both start on one side of pool (x = 0) at the same time (t = 0). The pool is separated into lanes along the “long course” so that the other end is at x = 50 m. Colby swims 2,500 m in 55 minutes; we assume that Colby and Charlie...
Two friends Colby [mass mC = 34 kg] and Charlie [mass mCh = 42 kg] are...
Two friends Colby [mass mC = 34 kg] and Charlie [mass mCh = 42 kg] are avid swimmers. Colby is a master swimmer, while Charlie only swims recreationally. They both start on one side of pool (x = 0) at the same time (t = 0). The pool is separated into lanes along the “long course” so that the other end is at x = 50 m. Colby swims 2,500 m in 55 minutes; we assume that Colby and Charlie...
Chapter One Assignment GAZELLE … OR TURTLE? Summit Software, Inc., recently celebrated its fifth year of...
Chapter One Assignment GAZELLE … OR TURTLE? Summit Software, Inc., recently celebrated its fifth year of business. Jim Mueller, the proprietor, started the software manufacturing and distribution company when he was still working as a professor at the local college, but now he enjoys being in the fast-paced technology industry. Growth and expansion were easy for Jim, thanks to his knowledge, his contacts, and the pool of readily available workers from which to choose. The company that originated in his...
What is the acceleration of the 62 kg block if θ  = 34, μ s = 0.4,...
What is the acceleration of the 62 kg block if θ  = 34, μ s = 0.4, and μ k = .3? Round your answer to three significant figures. If the block starts from rest at the position L = 25 m, how fast will it be traveling when it reaches the bottom of the incline? Round your answer to three significant figures.
A dockworker loading crates on a ship finds that a 34-kg crate, initially at rest on...
A dockworker loading crates on a ship finds that a 34-kg crate, initially at rest on a horizontal surface, requires a 73-N horizontal force to set it in motion. However, after the crate is in motion, a horizontal force of 50 N is required to keep it moving with a constant speed. Find the coefficients of static and kinetic friction between crate and floor
A company operates a solar installation in the desert in Western Australia. It is reviewing its...
A company operates a solar installation in the desert in Western Australia. It is reviewing its operating practices with a view to making them more efficient . a) The solar installation generates electric power from sunlight and incurs operating costs for cleaning the solar modules (sometimes called solar panels) and replacing solar modules that have failed. The annual revenue from the electric power is variable due to variable cloudiness and solar module failure and has a mean of $2.78m and...
A company operates a solar installation in the desert in Western Australia. It is reviewing its...
A company operates a solar installation in the desert in Western Australia. It is reviewing its operating practices with a view to making them more efficient. The solar installation generates electric power from sunlight and incurs operating costs for cleaning the solar modules (sometimes called solar panels) and replacing solar modules that have failed. a) The annual revenue from the electric power is variable due to variable cloudiness and solar module failure and has a mean of $2.78m and a...
Sarah Tynan's image of a hen harrier taking a Range Rover as its prey is clearly...
Sarah Tynan's image of a hen harrier taking a Range Rover as its prey is clearly a piece of wishful thinking--or, as Jeremy Deller called the exhibition in which it served as the focal point, English Magic. What is "magical" about it? Are you sympathetic with Deller's point of view? In the United States, wolves are protected by the Endangered Species Act, but wolves often come into conflict with ranchers who claim that they kill their livestock. If you could...
A kestrel dives from a stationary hover, 20 m above the ground, to catch its prey,...
A kestrel dives from a stationary hover, 20 m above the ground, to catch its prey, typically mice, on the ground. (a) If the kestrel’s acceleration toward the ground is due solely to free fall, calculate how long it takes to reach the ground. (3 points) (b) A field mouse can run at a top speed of 10 km/h, which it achieves starting from rest in 1 s. Assuming that the only way for the mouse to survive the kestrels...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT