Question

In a harbour, wind is blowing at the speed of 72 km/h and a flag on the mast of a boat anchored in the harbour flutters along the N-E direction. If the boat starts moving at a speed of 51 km/h to the north, what is the direction of the flag on the mast of the boat?

Solution

Let east be taken along X-axis and north along Y-axis.

Velocity of wind is,

stack straight v subscript straight w with rightwards arrow on top space equals space 72 space km divided by hr space along space NE space direction

equals 72 space cos space 45 degree space straight i with hat on top space plus space 72 space sin space 45 degree space straight j with hat on top

equals 50.9 straight i with hat on top space plus space 50.9 straight j with hat on top

Velocity of boat,

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equals 51 straight j with hat on top

The flag flutters in the direction of relative velocity of wind relative to boat.
The relative velocity of wind w.r.t. the boat is,

straight v with rightwards arrow on top subscript wb equals straight v with rightwards arrow on top subscript straight w minus straight v with rightwards arrow on top subscript straight b equals 50.9 straight i with hat on top minus 0.1 straight j with hat on top

Since Y component of velocity is approximately zero, hence the flag will flutter almost due east.

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Motion In A Plane

In a harbour, wind is blowing at the speed of 72 km/h and a flag on the mast of a boat anchored in the harbour flutters along the N-E direction. If the boat starts moving at a speed of 51 km/h to the north, what is the direction of the flag on the mast of the boat?

Some More Questions From Motion in A Plane Chapter

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.

What are axial vectors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Motion In A Plane

In a harbour, wind is blowing at the speed of 72 km/h and a flag on the mast of a boat anchored in the harbour flutters along the N-E direction. If the boat starts moving at a speed of 51 km/h to the north, what is the direction of the flag on the mast of the boat?

Some More Questions From Motion in A Plane Chapter

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.

What are axial vectors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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.