Cengage NEET by C.P Singh
A cart is moving horizontally along a straight line with constant speed 30ms^−1. A particle is to be fired vertically upwards from the moving cart in such a way that it returns to the cart at the same point from where it was projected after the cart has moved 80m. At what speed (relative to the cart) must the projectile be fired? (Take g=10ms^−2)
20
Oct
A cart is moving horizontally along a straight line with constant speed 30ms^−1. A particle is to be fired vertically upwards from the moving cart in such a way that it returns to the cart at the same point from where it was projected after the cart has moved 80m. At what speed (relative to [...]
Six particles situated at the corners of a regular hexagon of side a move at a constant speed v. Each particle maintains a direction towards the particle at the next corner. The time the particles will take to meet each other.
20
Oct
Six particles situated at the corners of a regular hexagon of side a move at a constant speed v. Each particle maintains a direction towards the particle at the next corner. The time the particles will take to meet each other. B B along BC C along CD and D along DA. At which time [...]
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to the initial horizontal velocity component, highest first.
20
Oct
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to the initial horizontal velocity component, highest first. Figure shows four paths for a kicked football. Ignoring the effects of air on the flight highest first. rank the paths according to the initial horizontal velocity [...]
Four particles A, B, C and D are situated at the vertices of a rectangle of sides d at t = 0. Each of the particle moves with constant speed v. A always has its velocity along AB, B along BC, C along CD and D along DA. At which time will the particles meet each other ?
20
Oct
Four particles A, B, C and D are situated at the vertices of a rectangle of sides d at t = 0. Each of the particle moves with constant speed v. A always has its velocity along AB, B along BC, C along CD and D along DA. At which time will the particles meet [...]
Two particles are projected simultaneously in the same vertical plane from the same point, with different speeds u1 and u2, making angles θ1 and θ2 respectively with the horizontal. The path followed by one, as seen by the other (as long as both are in flight), is
20
Oct
Two particles are projected simultaneously in the same vertical plane from the same point, with different speeds u1 and u2, making angles θ1 and θ2 respectively with the horizontal. The path followed by one, as seen by the other (as long as both are in flight), is as seen by the other (as long as [...]
A body thrown horizontally from the top of a building with a speed 20m/s, strikes the ground 40m away from the foot of tower. The height of the tower is
20
Oct
A body thrown horizontally from the top of a building with a speed 20m/s, strikes the ground 40m away from the foot of tower. The height of the tower is A body thrown horizontally from the top of a building with a speed 20m/s strikes the ground 40m away from the foot of tower. The [...]
A particle is thrown with speed u at an angle of projection θ with horizontal as shown. (i) The average velocity of particle from O to A is ucosθ (ii) The average velocity of particle from O to H (highest point) is u/21+3cos2θ−−−−−−−−−√ (iii) The average velocity of particle from J to K is u cos θ (iv) The angle between the velocity and the acceleration between O and H is greater than 90^∘, between H to A is less than 90^∘ and at highest point is 90^∘
20
Oct
A particle is thrown with speed u at an angle of projection θ with horizontal as shown. (i) The average velocity of particle from O to A is ucosθ (ii) The average velocity of particle from O to H (highest point) is u/21+3cos2θ−−−−−−−−−√ (iii) The average velocity of particle from J to K is u [...]
A point moves linearly with deceleration which is given by dv/dt = −αv√, where alpha is a positive constant. At the start v=v0. The distance traveled by particle before it stops will be
20
Oct
A point moves linearly with deceleration which is given by dv/dt = −αv√, where alpha is a positive constant. At the start v=v0. The distance traveled by particle before it stops will be A point moves linearly with deceleration which is given by dv/dt = −αv√ where alpha is a positive constant. At the start [...]
A body is projected vertically upwards. If t1 and t2 be the times at which it is at a height h above the point of projection while ascending and descending respectively, then h is
20
Oct
A body is projected vertically upwards. If t1 and t2 be the times at which it is at a height h above the point of projection while ascending and descending respectively, then h is A body is projected vertically upwards. If t1 and t2 be the times at which it is at a height h [...]
A stone dropped from a building of height h and it reaches after t second on the earth. From the same building if two stones are thrown (one upwards and other downwards) with the same speed and they reach the earth surface after t1 and t2 seconds, respectively, then
20
Oct
A stone dropped from a building of height h and it reaches after t second on the earth. From the same building if two stones are thrown (one upwards and other downwards) with the same speed and they reach the earth surface after t1 and t2 seconds, respectively, then Two particles are shown in figure. [...]