Motion In A Plane

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The maximum range of a gun on horizontal terrain is 16 km if g=10m/s^2.What must be the muzzle velocity of the shell?

200 m/s

100 m/s

400 m/s

300 m/s

Solution

400 m/s

The velocity with which a bullet or shell leaves the muzzle of a gun.

We know that in projection of the particle for maximum range, θ = 45^o

Now maximum rang e R = \frac{μ^{2} \sin 2 θ}{g} R = \frac{μ^{2} \sin 90^{o}}{g} (\sin 90^{o} = 1) μ = \sqrt{Rg} . . . . . (1) Given : - R_{\max} = 16 km = 16 \times 10^{3} m g = 10 m / s^{2} Now from equation (1) μ = \sqrt{16 \times 10^{3} \times 10} = 400 m / s

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

The maximum range of a gun on horizontal terrain is 16 km if g=10m/s^2.What must be the muzzle velocity of the shell?

200 m/s

100 m/s

400 m/s

300 m/s

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.

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Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Motion In A Plane

The maximum range of a gun on horizontal terrain is 16 km if g=10m/s2. What must be the muzzle velocity of the shell? 200 m/s 100 m/s 400 m/s 300 m/s

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

The maximum range of a gun on horizontal terrain is 16 km if g=10m/s^2.What must be the muzzle velocity of the shell?

200 m/s

100 m/s

400 m/s

300 m/s

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.