Force and Motion Practice 2
Force and Motion: Practice Part 2 Number of MCQs: 31 Difficulty Level: High
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Category: Force & Motion Topical (FAM)
1. A bomb is dropped from an aeroplane flying horizontally. The path of the bomb as seen by the pilot will be (neglect air friction)
Explanation
The velocity of the bomb w.r.to the pilot, in horizontal direction = 0.
So, the pilot will see the bomb falling vertically downward as the bomb do not have any horizontal motion and only vertical motion w.r.to the pilot.
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2. Which of the following sets of factors will affect the horizontal distance covered by an athlete in a long–jump event
It is clear that range is proportional to the direction (angle) and the initial speed.
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3. A particle moves in a circular path with decreasing speed. Choose the correct statement
Angular momentum is a axial vector. It is directed always in a fix direction (perpendicular to the plane of rotation either outward or inward), if the sense of rotation remain same.
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4. In a projectile motion, velocity at maximum height is
Only horizontal component of velocity (ucosθ)
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5. The range of a particle when launched at an angle of 15° with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of 45° to the horizontal
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6. What determines the nature of the path followed by the particle?
Speed is scalar quantity and velocity are vector quantity. Speed has no direction so it will not determine the path followed by the particle. But in case of velocity it has a direction but it will also not determine the path followed by the particle because the body comes up in motion whenever some forces are applied.
If we change the direction of the path, we need to apply some forces and forces are directly proportional to the acceleration.
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7. The velocity of a projectile at the initial point of projection is (2i + 3j) m/s. Its velocity (in m/s) at landing point is:
From the figure, the X-component remains unchanged, while the Y-component is reversed. Then, the velocity at point B is (2i-3j) ms-1
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8. Neglecting the air resistance, the time of flight of a projectile is determined by:
Audio Explanation:
https://eprepare.org/wp-content/uploads/2024/05/WhatsApp-Ptt-2024-05-08-at-1.16.23-AM.ogg
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9. A ball is projected with velocity v0 at an angle of elevation 30°. Mark the correct statement.
Since horizontal component of velocity is constant, hence momentum is constant
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10. At the top of the trajectory of a projectile, the magnitude of the acceleration is
Acceleration through out the projectile motion remains constant and equal to g
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11. At the highest point of trajectory in the ground to the ground projectile, the angle between gravitational acceleration and momentum is
The velocity is perpendicular to the acceleration due to gravity at the highest point. So, the momentum is also perpendicular to the acceleration due to gravity at the highest point.
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12. In projectile motion, accelerations of the projectile when it is gaining height and losing height respectively are
The acceleration of the projectile is always equal to g in downward direction during the flight.
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13. In the motion of a projectile freely under gravity, its
An external force by gravity is present throughout the motion so momentum will not be conserved.
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14. An object is thrown along a direction inclined at an angle of 45 with the horizontal direction. The horizontal range of the particle is equal to
R=4H cotθ
if θ=45° then R=4H cot(45°)=4H
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15. Galileo, in his book Two new sciences, stated that for elevations that exceed or fall short of 45° by equal amounts, the ranges?
In his book Two New Sciences, Galileo stated that for projectile angles that exceed or fall short of 45° by equal amounts, the ranges are equal.
This means that if a projectile is launched at two angles that are complementary (e.g., 30° and 60°), the horizontal ranges will be the same, assuming the same initial speed and ideal conditions (no air resistance).
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16. A body is thrown horizontally with a velocity √(2gh)
from the top of a tower of height h. It strikes the level ground through the foot of the tower at a distance x from the tower. The value of x is:
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17. A moves with 65 km/h while B is coming back of A with 80 km/h. The relative velocity of B with respect to A is
Relative velocity of B w.r.t A
VBA = VB – VA
= 80 – (-65)
= 145 km/h
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18. A projectile thrown with a speed v at an angle θ has a range R on the surface of earth. For same v and θ, its range on the surface of moon will be (acceleration due to gravity on moon= g/6
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19. Path of a projectile as seen from another projectile :
The path of the projectile with respect to another projectile will be a straight line as the acceleration of both the projectiles will be same. So, they will have only a relative velocity with respect to each other.
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20. The horizontal range of a particle thrown from the ground is four times the maximum height. The angle of projection with the vertical is:
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21. The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is:
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22. A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following
Due to constant velocity along horizontal and vertical downward force of gravity stone will hit the ground following parabolic path
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23. A bullet is fired with a speed of 1000 m/sec in order to hit a target 100 m away. If g=10 m/s2 the gun should be aimed:
Bullet will take s=vt=> t=s/v 100/1000=0.1sec to reach target
During this period vertical distance (downward) travelled by the bullet
So the gun should be aimed 5 cm above the target.
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24. A bomb is dropped from an aeroplane moving horizontally at constant speed. When air resistance is taken into consideration, the bomb
Due to air resistance, it’s horizontal velocity will decrease so it will fall behind the aeroplane.
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25. If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will
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26. The range of a projectile for a given initial velocity is maximum when the angle of projection is 45°. The range will be minimum, if the angle of projection is
when θ=90°, R = 0 i.e. the body will fall at the point of projection after completing one dimensional motion under gravity.
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27. A projectile fired with initial velocity u at some angle θ has a range R. If the initial velocity be doubled at the same angle of projection, then the range will be
R=(u2sin2θ)/g ∴R∝u2. If initial velocity be doubled then range will become four times.
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28. A body projected with velocity u with an angle of projection θ . Change in velocity after the time (t) from the projection is:
The only change in velocity due to gravity acts vertically downwards. This change is independent of the initial velocity and angle of projection and is given by the acceleration due to gravity g multiplied by time t.
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29. Two bodies are projected with the same velocity. If one is projected at an angle of 30° and the other at an angle of 60° to the horizontal, the ratio of the maximum heights reached is
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30. A ball is projected with kinetic energy E at an angle of 45° to the horizontal. At the highest point during its flight, its kinetic energy will be
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