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A ship A streams due north at 16 km/h and a ship B due west at 12 km/h. At a certain instant B is 10 km north east of A. Find the a. magnitude of velocity of A relative to b.
22
Sep
A ship A streams due north at 16 km/h and a ship B due west at 12 km/h. At a certain instant B is 10 km north east of A. Find the a. magnitude of velocity of A relative to b. A ship A streams due north at 16 km/h and a ship B due [...]
Two identical balls A and B lie on a smooth horizontal surface, which gradually merges into a curve to a height 3.2m. Ball A is given a velocity of 10m/s, to collide head-on with ball B, which then takes up the curved path. What is the minimum coefficient of restitution, e, for the collision between A and B in order that ball B reaches the highest point C of the curve.
22
Sep
Two identical balls A and B lie on a smooth horizontal surface, which gradually merges into a curve to a height 3.2m. Ball A is given a velocity of 10m/s, to collide head-on with ball B, which then takes up the curved path. What is the minimum coefficient of restitution, e, for the collision between [...]
Two solid spherical planets of equal radii R having masses 4M and 9M their centre are separated by a distance 6R. A projectile of mass m is sent from the planet of mass 4 M towards the heavier planet. What is the distance r of the point from the lighter planet where the gravitational force on the projectille is zero ?
22
Sep
Two solid spherical planets of equal radii R having masses 4M and 9M their centre are separated by a distance 6R. A projectile of mass m is sent from the planet of mass 4 M towards the heavier planet. What is the distance r of the point from the lighter planet where the gravitational force [...]
A steamer plies between two stations A and B on opposite banks of a river, always following the path AB. The distance between stations A and B is 1200 m. The velocity of the current
22
Sep
A steamer plies between two stations A and B on opposite banks of a river, always following the path AB. The distance between stations A and B is 1200 m. The velocity of the current A steamer plies between two stations A and B on opposite banks of a river always following the path AB. [...]
Three identical bodies of mass M are located at the vertices of an equilateral triangle of side L. They revolve under the effect of mutual gravitational force in a circular orbit, circumscribing the triangle while preserving the equilateral triangle. Their orbital velocity is
22
Sep
Three identical bodies of mass M are located at the vertices of an equilateral triangle of side L. They revolve under the effect of mutual gravitational force in a circular orbit, circumscribing the triangle while preserving the equilateral triangle. Their orbital velocity is circumscribing the triangle while preserving the equilateral triangle. Their orbital velocity is [...]
Three balls of masses m1,m2 and m3 are lying in a straight line. The first ball is moved with a certain velocity so that it strikes the second ball directly and itself comes to rest. The second ball collides with the third and is itself reduced to rest. If e is the coefficient of restitution for each ball, write down the relation of m3 in terms of m1 and m2.
22
Sep
Three balls of masses m1,m2 and m3 are lying in a straight line. The first ball is moved with a certain velocity so that it strikes the second ball directly and itself comes to rest. The second ball collides with the third and is itself reduced to rest. If e is the coefficient of restitution [...]
A man wants to reach point b on the opposite bank of a river flowing at a speed u as shown in Fig. 5.193. What minimum speed relative to water should the man have so that he
22
Sep
A man wants to reach point b on the opposite bank of a river flowing at a speed u as shown in Fig. 5.193. What minimum speed relative to water should the man have so that he A man wants to reach point b on the opposite bank of a river flowing at a speed [...]
A ball of mass 4 kg moving with a velocity of 12 m/s impinges directly on another ball of mass 8 kg moving with velocity of 4 m/s in the same direction. Find their velocities after impact and calculate the loss of KE due to impact if e = 0.5.
22
Sep
A ball of mass 4 kg moving with a velocity of 12 m/s impinges directly on another ball of mass 8 kg moving with velocity of 4 m/s in the same direction. Find their velocities after impact and calculate the loss of KE due to impact if e = 0.5. A mass m1 moves with [...]
The velocity of a swimmer (v) in still water is less than the velocity of water (u) in a river. Show that the swimmer must aim himself at an angle cos^-1(v/u) with upstream in order
22
Sep
The velocity of a swimmer (v) in still water is less than the velocity of water (u) in a river. Show that the swimmer must aim himself at an angle cos^-1(v/u) with upstream in order The velocity of a swimmer (v) in still water is less than the velocity of water (u) in a river. [...]
Three equal masses of 1 kg each are placed at the vertices of an equilateral ΔPQR and a mass of 2kg is placed at the centroid O of the triangle which is at a distance of root 2 m from each of the vertices of the triangle. Find the force (in newton) acting on the mass of 2 kg.
22
Sep
Three equal masses of 1 kg each are placed at the vertices of an equilateral ΔPQR and a mass of 2kg is placed at the centroid O of the triangle which is at a distance of root 2 m from each of the vertices of the triangle. Find the force (in newton) acting on the [...]