Questions and Answers
What is the total time lost in a journey when a train moves from 120 km/hr to 30 km/hr, travels at that speed, and then accelerates back to 120 km/hr, covering distances of 3 km, 5 km, and 2 km respectively?
What should the man's velocity in still water be if he crosses a river flowing at 3 m/s and reaches a point 60 m away in 15 seconds?
If A and B are projected simultaneously to collide at the highest point of particle '1', what value of V1 and V2 will be?
What will be the range of a projectile fired horizontally from a plane inclined at 45° with a speed of 50 m/s, if g = 10 m/s²?
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What distance will a particle travel in 4 seconds if its velocity is given by v = 3ti^ + 4tj^?
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What should be the velocity of a man in still water while crossing a river flowing at 3 m/s?
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What is the magnitude of horizontal forces F→1 and F→2 if the tension in the string between masses 1 and 2 is 60 N?
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What is the total time lost during the journey of a train that slows down from 120 km/hr to 30 km/hr, runs at that speed, and then accelerates back to 120 km/hr?
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If two particles A and B collide at the highest point of particle '1', what is the value of V2?
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What is the range measured along the incline for a projectile fired horizontally with a speed of 50 m/s from a plane inclined at 45°?
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What distance does a particle with velocity v = 3ti^ + 4tj^ travel in 4 seconds?
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What is the tension in the string between two points if it's 60 N?
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What are the magnitudes of horizontal forces F1 and F2 applied to hold a system in position?
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Study Notes
River Crossing Problem
- A man crosses a river flowing at a speed of 3 m/s.
- He reaches a point directly across the river at a distance of 60 m in 15 seconds.
- The velocity needed in still water can be calculated based on the man's travel time and river current.
Train Speed and Repairs
- A train travels at an initial speed of 120 km/h.
- The speed is reduced uniformly to 30 km/h over a distance of 3 km.
- The train runs at 30 km/h for a certain distance of 5 km.
- Finally, it accelerates back to 120 km/h over a distance of 2 km.
- Total time lost during the journey can be computed based on the distances and speeds involved.
Simultaneous Projectile Collision
- Two projectiles, A and B, are launched simultaneously.
- They collide at the highest point of particle '1'.
- The relationship between their velocities at this point can be expressed with simple values.
HorizontalProjectile from Inclined Plane
- A projectile is horizontally fired from a plane inclined at 45°.
- The speed of the projectile is 50 m/s.
- Given gravity (g) is 10 m/s², the range measured along the incline can be determined by applying kinematic equations.
Particle Velocity in X-Y Plane
- The velocity of a particle is expressed as v = 3ti^ + 4tj^.
- To find the distance traveled by the particle over 4 seconds, integrate the velocity equation over the given time interval.
Tension in a String
- A tension of 60 N exists in a string between two points (1 and 2).
- To maintain the system in a stable position, the magnitudes of horizontal forces F1 and F2 must be calculated, ensuring equilibrium.
River Crossing Problem
- A man crosses a river flowing at a speed of 3 m/s.
- He reaches a point directly across the river at a distance of 60 m in 15 seconds.
- The velocity needed in still water can be calculated based on the man's travel time and river current.
Train Speed and Repairs
- A train travels at an initial speed of 120 km/h.
- The speed is reduced uniformly to 30 km/h over a distance of 3 km.
- The train runs at 30 km/h for a certain distance of 5 km.
- Finally, it accelerates back to 120 km/h over a distance of 2 km.
- Total time lost during the journey can be computed based on the distances and speeds involved.
Simultaneous Projectile Collision
- Two projectiles, A and B, are launched simultaneously.
- They collide at the highest point of particle '1'.
- The relationship between their velocities at this point can be expressed with simple values.
HorizontalProjectile from Inclined Plane
- A projectile is horizontally fired from a plane inclined at 45°.
- The speed of the projectile is 50 m/s.
- Given gravity (g) is 10 m/s², the range measured along the incline can be determined by applying kinematic equations.
Particle Velocity in X-Y Plane
- The velocity of a particle is expressed as v = 3ti^ + 4tj^.
- To find the distance traveled by the particle over 4 seconds, integrate the velocity equation over the given time interval.
Tension in a String
- A tension of 60 N exists in a string between two points (1 and 2).
- To maintain the system in a stable position, the magnitudes of horizontal forces F1 and F2 must be calculated, ensuring equilibrium.
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Description
This quiz focuses on a scenario involving a man crossing a river with a current. It challenges the understanding of relative velocity and river crossing problems in physics. Calculate the man's velocity in still water based on the given data.
