Chapter 3 – Motion in a Plane
The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40ms^−1 can go without hitting the ceiling of the hall?
27
Nov
The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40ms^−1 can go without hitting the ceiling of the hall? The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with [...]
i and j are unit vectors along x- and y-axis respectively. What is the magnitude and direction of the vectors i + j and i− j ? What are the components of a vector A = 2i and 3j along the directions of i + j and i – j ? [You may use graphical method]
27
Nov
i and j are unit vectors along x- and y-axis respectively. What is the magnitude and direction of the vectors i + j and i− j ? What are the components of a vector A = 2i and 3j along the directions of i + j and i – j ? [You may use graphical [...]
An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10 s apart is 30^o , what is the speed of the aircraft ?
27
Nov
An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10 s apart is 30^o , what is the speed of the aircraft ? An aircraft is flying at a height of 3400 m above the ground. If the [...]
A fighter plane flying horizontally at an altitude of 1.5 km with speed 720 km/h passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed 600 ms^−1 to hit the plane ? At what minimum altitude should the pilot fly the plane to avoid being hit ? (Take g=10 ms^−2 )
27
Nov
A fighter plane flying horizontally at an altitude of 1.5 km with speed 720 km/h passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed 600 ms^−1 to hit the plane ? At what minimum altitude should the pilot fly the plane [...]
A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.5 m/s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?
27
Nov
A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.5 m/s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular [...]
Rain is falling vertically with a speed of 30ms^−1 . A woman rides a bicycle with a speed of 10ms^−1 in the north to south direction. What is the direction in which she should hold her umbrella ?
27
Nov
Rain is falling vertically with a speed of 30ms^−1 . A woman rides a bicycle with a speed of 10ms^−1 in the north to south direction. What is the direction in which she should hold her umbrella ? Rain is falling vertically with a speed of 30ms^−1 . A woman rides a bicycle with a [...]
Two particles are projected in air with speed v0 at angles θ1 and θ2 (both acute) to the horizontal, respectively. If the height reached by the first particle is greater than of the second, then tick the right choices.
31
Oct
Two particles are projected in air with speed v0 at angles θ1 and θ2 (both acute) to the horizontal, respectively. If the height reached by the first particle is greater than of the second, then tick the right choices. respectively. If the height reached by the first particle is greater than of the second then [...]
(b) Earth also moves in circular orbit around the sun once every year with an orbital radius of 1.5 x 10^11 m. What is the acceleration of the earth (or any object on the surface of the earth) towards the centre of the sun? How does this acceleration compare with g = 9.8 m/s^2 ?
31
Oct
(b) Earth also moves in circular orbit around the sun once every year with an orbital radius of 1.5 x 10^11 m. What is the acceleration of the earth (or any object on the surface of the earth) towards the centre of the sun? How does this acceleration compare with g = 9.8 m/s^2 ? [...]
(a) Earth can be thought of as a sphere of radius 6400 km. Any object (or a person) is performing circular motion around the axis of the earth due to the earth rotation (period 1 day). What is the acceleration of object on the surface of the earth (at equator) towards its centre? What is it at latitude theta ? How does these accelerations compare with g = 9.8 m/s^2?
31
Oct
(a) Earth can be thought of as a sphere of radius 6400 km. Any object (or a person) is performing circular motion around the axis of the earth due to the earth rotation (period 1 day). What is the acceleration of object on the surface of the earth (at equator) towards its centre? What is [...]
A fighter plane is flying horizontally at an altitude of 1.5 km with speed 720 km/h. At what angle of sight (w.r.t. horizontal) when the target is seen, should the pilot drop the bomb in order to attack the target than?
31
Oct
A fighter plane is flying horizontally at an altitude of 1.5 km with speed 720 km/h. At what angle of sight (w.r.t. horizontal) when the target is seen, should the pilot drop the bomb in order to attack the target than? A fighter plane is flying horizontally at an altitude of 1.5 km with speed [...]