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qUESTIONS

The speed of sound in air is 330m/s and that in glass is 4500 m/s. What is theratio of the wavelength of sound of a givenfrequency in the two media?

A train is moving eastward at 10 m/sec. A waiter is walking eastward at 1.2m/sec; and a fly is flying toward the north across the waiter’s tray at 2 m/s. What is the velocity of the fly relative to Earth.

A car moves in a circle at the constant speed of 50 m/s and completes one revolution in 40 s. Determine the magnitude of the acceleration of the car.

09:26 A particle moves in a circle with constant speed of 15 m/s. The radius of the circle is 2 m. Determine the centripetal acceleration of the particle.

A projectile is thrown at an angle of 30° to the horizontal. What should be the range of initial velocity (u) so that its range will be between 40m and 50 m? Assume g = 10 m s⁻².

A particle is projected with speed v at angle θ to the horizontal on an inclined surface making an angle Φ to the horizontal. Find the range of the projectile along the inclined surface.

An aeroplane A, is travelling in a straight line with a velocity of 300 km/hr with respect to Earth. Another aeroplane B, is travelling in the opposite direction with a velocity of 350 km/hr with respect to Earth. What is the relative velocity of A with respect to B? What should be the velocity of a third aeroplane C moving parallel to A, relative to the Earth if it has a relative velocity of 100 km/hr with respect to A?

A stone is thrown with an initial velocity components of 20 m/s along the vertical, and 15 m/s along the horizontal direction. Determine the position and velocity of the stone after 3 s. Determine the maximum height that it will reach and the total distance travelled along the horizontal on reaching the ground. (Assume g = 10 m/s²)

An object of mass 50 g moves uniformly along a circular orbit with an angular speed of 5 rad/s. If the linear speed of the particle is 25 m/s, is the radius of the circle? Calculate the centripetal force acting on the particle.

A velocity-time graph is shown in the adjoining figure. Determine: 1. initial speed of the car 2. maximum speed attained by the car 3. part of the graph showing zero acceleration 4. part of the graph showing constant retardation 5. distance travelled by the car in first 6 sec.

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