Motion In A Plane

Question

A stone of mass 10 kg is placed on the horizontal floor and it is pulled by a force F acting at angle 45°. What is tension in the string when it breaks off from the ground? (g = 10m/s²).

Solution

Given,
Mass of the stone, m = 10kg
Angle at which the force is acting = 45^o
When vertical component of the applied force is equal to the weight of stone, the stone will lose contact.
i.e., F sin45^o = 100

rightwards double arrow space space straight F space equals space fraction numerator 100 over denominator sin space 45 to the power of straight o end fraction space equals space fraction numerator 100 over denominator begin display style bevelled fraction numerator 1 over denominator square root of 2 end fraction end style end fraction equals 100 square root of 2 space straight N

Therefore tension in string is

100 square root of 2 straight N.

Some More Questions From Motion in A Plane Chapter

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

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Motion In A Plane

A stone of mass 10 kg is placed on the horizontal floor and it is pulled by a force F acting at angle 45°. What is tension in the string when it breaks off from the ground? (g = 10m/s²).

Some More Questions From Motion in A Plane Chapter

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Motion In A Plane

A stone of mass 10 kg is placed on the horizontal floor and it is pulled by a force F acting at angle 45°. What is tension in the string when it breaks off from the ground? (g = 10m/s2).

Some More Questions From Motion in A Plane Chapter

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list: force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A stone of mass 10 kg is placed on the horizontal floor and it is pulled by a force F acting at angle 45°. What is tension in the string when it breaks off from the ground? (g = 10m/s²).

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.