a) here we have a projectile shot from 45° north latitude,with a velocity V= 1000m/s
So the Coriolis force Fc is given as
Here is the rate of rotation of earth which is 7.26×10-5rad/s
The Coriolis acceleration ac =F_c/m is given as
Since the projectile is launched in northern hemisphere, it will deflect rightward i.e. towards eastward. So the direction of Coriolis force and Coriolis acceleration is eastward.
b) in order to determine the lateral displacement,we first need to calculate the time of flight of the projectile which is given as
We know that
Integrating above equation twice we get
Which we can clearly see,is same as d=at2/2 because
Therefore lateral displacement d is given as
Therefore lateral displacement=2140..48 m
4. A projectile is launched from a latitude 45 °N and travels 20 km to the...
A projectile is launched due north from a point in colatitude at an angle to the horizontal, and aimed at a target whose distance is y (small compared to Earth's radius R). Show that if no allowance is made for the effects of the Coriolis force, the projectile will miss its target by a distance Evaluate this distance if and y=40km. Why is it that the deviation is to the east near the north pole, but to the west both...
A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45◦ with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s^2. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s^2, where does the projectile land in relation to its starting position?
4.4.2 Two Rotations Before Projectile Launch A projectile will be launched from 68° north latitude. Before launch, the longitudinal axis (b) of the projectile is initially aligned with local south (e). by and b are likewise aligned with local east (e) and local vertical (ez), respectively. The projectile is then rotated twice: first, through an azimuth angle of y 45° toward the east next, through an elevation angle of θ 60° up. If the missile's velocity is EvB - 1000...
of 1) Consider a projectile launched at an angle 0 = 45°. The projectile travels a total distance in the x-direction and reaches a maximum height H. What is the ratio, D/H? H e You may neglect any drag forces in this problem. 2) The diagram shows the start of a roller coaster. A car with a total mass M is pulled up the first hill of height H. н. Start D If the chain pulling the car up the...
2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s?. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s", where does the projectile land in relation to its starting position?
2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s2. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s², where does the projectile land in relation to its starting position?
2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s?. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s”, where does the projectile land in relation to its starting position?
2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s?, where does the projectile land in relation to its starting position?
We will all rate if correct 2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s2. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s2, where does the projectile land in relation to its starting position?
A hiker travels 2 km due east of his starting point. Then he travels 1 km northwest. Finally, he travels 3 km due north. How far is the hiker from his starting point after the 3 displacements and in what direction? Draw the three displacement vectors to scale and add them graphically Find the magnitude and direction of A, B and A + B for A = -4i – 7j and B = 3i – 2j . Describe the following...