Consider the setup of a gun aimed at a target (such as a monkey) as shown in the

Question

Consider the setup of a gun aimed at a target (such as a monkey) as shown in the ?gure. The target is to be dropped from the point A at t = 0, the same moment as the gun is ?red. The bullet hits the target at a point P, which is at the same horizontal level as the gun. Let the initial speed of the bullet be v0 , let the angle between the vector ?v0 and the horizontal (x-) direction be ?, and OP = L and AP = h. The gravitational acceleration is g . Denote the time taken to hit the target by T . The acceleration of gravity is 9.8 m/s^2

A) Find the initial speed v0 (magnitude of the vector ?v0 ) which allows the pro jectile to meet the target at location P. (Hint: T de?ned in part 1 is also the time taken for the bullet to travel, following the pro jectile trajectory, from O to P ). Let the distance OP be L =2.81 m, the angle ? = 45?, and the time T = 0.757278 s. (Given g = 9.8 m/s^2).

B) Now the same setup is to take place at some planet where the gravitational acceleration is g? = g/4 . Keep v0 , ? and h to be the same as before. Find the new height; i.e., the y-coordinate
of the new point of collision. (Hint: you should convince yourself that for this new case, the time taken for the bullet to travel from O to the new point of collision P

Explanation / Answer

please put figure

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---