Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Rest and Motion Kinematics
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rest and Motion Kinematics
A ball is projected from a point on the floor at a speed of 15 m/s...
A ball is projected from a point on the floor at a speed of and an angle of 60^{}^{{}^{\circ}} with the horizontal. Decide whether it will hit a vertical wall away from the point of projection and perpendicular to the plane of projection without hitting the floor. Also determine if the answer will differ if the wall is away.
Options
- ANo, it will not hit the wall; No, the answer does not differ for the wall.
- BNo, it will not hit the wall; Yes, the answer differs for the wall.
- CYes, it will hit the wall; Yes, the answer differs for the wall.
- DYes, it will hit the wall; No, the answer does not differ for the wall.
Correct answer
C. Yes, it will hit the wall; Yes, the answer differs for the wall.
Step-by-step solution
The horizontal range of the projectile is given by .
Substituting the given values , \theta = 60^{}^{{}^{\circ}}, and :
R = \dfrac{(15)^2 \sin(120^{}^{{}^{\circ}})}{9.8} = \dfrac{225 \times \sqrt{3}}{2 \times 9.8} \approx 19.88 \text{ m}
Since the distance to the first wall is , which is less than the range (), the ball will hit the wall before hitting the floor. Thus, the answer for the wall is Yes.
For the second wall at , the distance is greater than the range (). The ball will hit the floor before reaching this wall. Thus, it will not hit the wall without hitting the floor first.
Therefore, it will hit the wall, and the answer differs for the wall.
Substituting the given values , \theta = 60^{}^{{}^{\circ}}, and :
R = \dfrac{(15)^2 \sin(120^{}^{{}^{\circ}})}{9.8} = \dfrac{225 \times \sqrt{3}}{2 \times 9.8} \approx 19.88 \text{ m}
Since the distance to the first wall is , which is less than the range (), the ball will hit the wall before hitting the floor. Thus, the answer for the wall is Yes.
For the second wall at , the distance is greater than the range (). The ball will hit the floor before reaching this wall. Thus, it will not hit the wall without hitting the floor first.
Therefore, it will hit the wall, and the answer differs for the wall.