Daily Practice Problems Motion in a Plane

Question 1:

Two forces of magnitudes 8 N and 6 N act at an angle of 60 degrees with each other. What is the magnitude of their resultant force?[Level: Moderate]

a) 2 N

b) 10 N

c) 14 N

d) 16 N

Question 2:

The displacement vector of a particle is given by D = 3i - 4j + 5k. What is the magnitude of the displacement?[Level: Moderate]

a) 3 units

b) 4 units

c) 5 units

d) 7 units

Question 3:

Two vectors A = 4i + 3j and B = 2i - 5j are added together. What is the direction of their resultant vector?[Level: Moderate]

a) 30 degrees with respect to the x-axis

b) 45 degrees with respect to the x-axis

c) 60 degrees with respect to the x-axis

d) 90 degrees with respect to the x-axis

Question 4:

The magnitude of two vectors A and B are 5 units and 12 units, respectively. If the angle between A and B is 120 degrees, what is the magnitude of their vector product (cross product)?[Level: Moderate]

a) 60 units

b) 30 units

c) 15 units

d) 20 units

Question 5:

If the dot product of two vectors A and B is zero, what can we say about the angle between them?[Level: Easy]

a) The angle between A and B is 90 degrees.

b) The angle between A and B is 0 degrees.

c) The angle between A and B is 45 degrees.

d) The angle between A and B is 180 degrees.

Question 6:

A projectile is launched with an initial velocity of 20 m/s at an angle of 30 degrees with the horizontal. What is the maximum height reached by the projectile? (Take g = 9.8 m/s²)[Level: Easy]

a) 10 meters

b) 15 meters

c) 20 meters

d) 25 meters

Question 7:

A stone is thrown horizontally from the top of a cliff with a velocity of 10 m/s. If the cliff is 40 meters high, how far from the base of the cliff does the stone strike the ground? (Take g = 9.8 m/s²)[Level: Difficult]

a) 20 meters

b) 30 meters

c) 40 meters

d) 50 meters

Question 8:

A projectile is launched with an initial velocity of 30 m/s at an angle of 60 degrees with the horizontal. What is the total time of flight of the projectile? (Take g = 9.8 m/s^2)[Level: Moderate]

a) 2 seconds

b) 4 seconds

c) 6 seconds

d) 8 seconds

Question 9:

A projectile is launched with an initial velocity of 25 m/s at an angle of 45 degrees with the horizontal. What is the horizontal range of the projectile? (Take g = 9.8 m/s^2)[Level: Easy]

a) 64 meters

b) 100 meters

c) 150 meters

d) 200 meters

Question 10:

A projectile is launched with an initial velocity of 15 m/s at an angle of 30 degrees with the horizontal. What is the vertical component of its velocity when it reaches the highest point of its trajectory? (Take g = 9.8 m/s^2) [Level: Moderate]

a) 5 m/s

b) 7.5 m/s

c) 10 m/s

d) 12.5 m/s

Question 11:

A car is moving in a circle of radius 20 meters with a uniform speed of 10 m/s. What is the magnitude of its centripetal acceleration?[Level: Easy]

a) 5 m/s^2

b) 10 m/s^2

c) 25 m/s^2

d) 50 m/s^2

Question 12:

A small car of mass 500 kg moves in a circular path of radius 100 meters with a constant speed of 20 m/s. What is the magnitude of the centripetal force acting on the car?[Level: Moderate]

a) 500 N

b) 1000 N

c) 2000 N

d) 5000 N

Question 13:

A particle moves in a circle of radius 10 meters with an angular speed of 2 rad/s. What is the magnitude of its linear velocity?[Level: Easy]

a) 5 m/s

b) 10 m/s

c) 15 m/s

d) 20 m/s

Question 14:

A ball is attached to a string and is swung in a horizontal circle with a radius of 2 meters. If the tension in the string is 100 N, what is the mass of the ball? (Take g = 9.8 m/s^2)[Level: Difficult]

a) 2.04 kg

b) 4.08 kg

c) 25 kg

d) 8.16 kg

Question 15:

A man runs at a speed of 8 m/s. When he starts running, rain starts falling vertically. He increases his speed to 12 m/s, and due to that, raindrops make an angle of 30 degrees with the vertical. What is the speed of the raindrops? (Take the velocity of raindrops as a vector.)[Level: Difficult]

a) 4 m/s

b) 8 m/s

c) 10 m/s

d) 12 m/s

Question 16:

A boat crosses a river of width 200 meters with a velocity of 8 m/s at an angle of 60 degrees upstream. If the river's speed is 4 m/s, what is the time taken by the boat to cross the river? (Take the velocity of the boat and river as vectors.) [Level: Moderate]

a) 20 seconds

b) 25 seconds

c) 30 seconds

d) 35 seconds

Question 17:

A swimmer swims with a velocity of 2 m/s in a river. He crosses the river and reaches the opposite bank at a distance of 50 meters from the starting point. If the speed of the river's flow is 1 m/s, what time does it take for the swimmer to cross the river? (Take the velocity of the swimmer and river as vectors.) [Level: Difficult]

a) 20 seconds

b) 22 seconds

c) 30 seconds

d) 35 seconds

Question 18:

A boat takes 4 hours to travel 36 km upstream and 3 hours to travel 48 km downstream in a river. What is the speed of the river's flow? [Level: Easy]

a) 6 km/h

b) 8.5 km/h

c) 3.5 km/h

d) 12 km/h

Question 19:

A man can swim at a speed of 5 m/s in still water. He wants to cross a river that is 80 meters wide. If the river flows at a speed of 3 m/s, at what angle should the man swim upstream to reach a point directly opposite to his starting point?[Level: Moderate]

a) 30 degrees

b) 45 degrees

c) 60 degrees

d) 72 degrees

Question 20:

A boat can travel at a speed of 8 m/s in still water. The boat crosses a river flowing at 4 m/s, taking 10 seconds to reach the opposite bank. What is the width of the river?[Level: Easy]

a) 40 meters

b) 60 meters

c) 80 meters

d) 100 meters

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Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic JEE Physics Motion in a Plane you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
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Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Motion in a Plane JEE Physics Online Tests at LearnoHub.com.
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In summary, problem-solving after learning a theoretical concept on CBSE Motion in a Plane JEE Physics is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on JEE Physics Motion in a Plane NCERT Chapter 4

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Physics Motion in a Plane NCERT Chapter 4 useful.

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