Welcome to your PHY SET - 5
1.
Initial velocity = î + 4ĵ; velocity at point B = ?
2.
Minimum speed to reach (30, 40)
3.
Inclined plane; v = 20 m/s, θ = 30°, component ⊥ to plane at strike?
4.
Momentum = 0 at which point: P (launch), Q (target), H (top)?
5.
Change in KE and momentum from point to diametrically opposite in circular motion
6.
Unit vector in direction of A = cosθ î + sinθ ĵ
7.
Car on circle of radius r, speed = V, acceleration = a ⇒ net acceleration?
8.
Component of A = 3î + 4ĵ perpendicular to B = î + ĵ in same plane
9.
Same as Q9 (horizontal v = 90 m/s; max height = 80 m), find angle
10.
Bullet fired in all directions ⇒ area of ground covered?
11.
Time of flight T → 2T; what happens to Range?
12.
Max = 17, Min = 7 ⇒ if at 90° angle, resultant = ?
13.
A = 10 m/s (along x), B = 20 m/s at 60° to x. Find B relative to A.
14.
Projectile with v = î + 2ĵ; path equation?
15.
1 kg stone on 1m string in vertical circle. Find tension at top.
16.
Range = 200 m, time = 5s ⇒ angle of projection?
18.
Projectile: θ = 60°, v = 147 m/s. When is direction 45°?
19.
Vectors P (120° w.r.t x), Q (30° w.r.t y) ⇒ resultant?
20.
Which of the following doesn't depend on coordinate system?
21.
u = ai + bj, v = pi + qj; figure shown. What’s correct about signs?
22.
Mass m moves in circle of r, speed v ⇒ Work done by centripetal force (½ circle)
23.
Position: r = 3i + 4j; velocity: v = 4i – 3j ⇒ Angular momentum?
24.
River flows W→E, speed = 4 m/min. Man can swim 8 m/min. Shortest time direction?
25.
Force = (3i + 4j), Displacement = (3i + 4j) ⇒ Work done?
26.
Ball projected at angle θ. After 1s, moves at 45°, after 2s horizontally. Find v?
27.
What causes normal component of circular acceleration?
28.
u = 3 m/s, accel 1 m/s² normal to u ⇒ velocity after 4 s?
29.
Vectors (A + B), (A – B) → resultant √(A² + B²), angle between them?
30.
Mosquito v(t) = 0.5i + 3tj + 9t²k; direction after 2s?
31.
Range = 200m, time = 5s ⇒ horizontal speed?
32.
Projectile’s max potential energy = ?
33.
Gun shoots shells at same speed, max range R ⇒ angle to hit target at R/2?
34.
If A and B > 1, what can’t be magnitude of A × B?
35.
Vectors a to f shown. Which statement is true?
36.
Two vectors A and B inclined at angle θ; resultant makes angle β with A. Directions interchanged ⇒ resultant has same?
37.
Cone with water in vertical circle (r = 4 m); water doesn't fall ⇒ max time period?
38.
Vectors u = ai + bj and v = pi + qj; based on orientation, which values positive?
39.
Ball released from truck moving with accel 5 m/s². Falls in 1s. Velocity on ground?
40.
A = B = C. If A + B = C → θ₁ between A & B = ?, and A + C = B → θ₂ = ?, find relation
41.
Particle tied to string of length l, mass m, tension = T. Net force toward center?
42.
Projectile fired at 30°, momentum = p. Change in KE on return to ground?
43.
Which operation makes no sense (scalars vs vectors)?
44.
Unit vector perpendicular to A and B, angle = θ?
45.
Two vectors A and B inclined at angle θ; resultant makes angle β with A. Directions interchanged ⇒ resultant has same?
