16. The trajectory of a rocket makes an angle of 200 degrees below the horizontal when it is moving at 5,400 m/s. The thruster engine gives it a constant horizontal acceleration of 6 m/s^2 and the downward acceleration is the acceleration due to gravity, Determine a. The rate at which the speed is changing b. The normal acceleration c. The radius of curvature
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
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![16. The trajectory of a rocket makes an angle of 200 degrees below the horizontal when it is moving
at 5,400 m/s. The thruster engine gives it a constant horizontal acceleration of 6 m/s^2 and the
downward acceleration is the acceleration due to gravity, Determine
a. The rate at which the speed is changing
b. The normal acceleration
c. The radius of curvature
17. A certain rifle has a muzzle velocity of 490 m/s. The rifle is pointed vertically upward and fired
from an automobile moving horizontally at a speed of 19.6 m/s
a. Determine the radius of curvature of the path of the bullet at its maximum altitude
b. How far has the car traveled at this instant
c. Where will the bullet strike the ground
18. A car starts from rest at a point A and increases its speed at a constant rate as it enters a curve.
The magnitude of the total acceleration of the car as it passes point B, which is 400/3m along
the curve from point A, is 2.5 m/s^2. The radius of curvature at point B is 200m
a. Determine the normal component of the acceleration at point B
b. Determine the tangential component of the acceleration at point B
c. If the tangential acceleration at point B is directed downward to the right at an angle of
36.87 degrees below the horizontal, and the normal acceleration is also directed
downward, determine the rectangular components of the acceleration at point B.
19. A particle which moves along the curved path shown decelerates at a rare proportional to the
distance, measured along the curve, from point 0. It passess point 0 with a speed of 10 m/s and
slow down to 8 m/s at point A in a distance of 12m, measured along the curve from point 0. The
magnitude of the total acceleration of the particle is 5 m/s^2 as it passes point A. Determine:
tangent line to the curve at point
path
3
a. The normal component of acceleration at point A
b. The tangential component of acceleration at point A
c. The radius of curvature of the pat at A
d. The rectangular components of the acceleration at point A
20. Determine the force P that will give the body an acceleration of 0.5g m/s^2/ The coefficient of
kinetic friction is 0.35](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d958234-6888-432d-97d8-e763bad29f71%2Fbb57ee53-9aeb-4d79-8ed4-c1b2a217b86a%2Fdzhrto_processed.png&w=3840&q=75)
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