Home
Class 12
PHYSICS
A cannon fires successively two shells f...

A cannon fires successively two shells from the same point with velocity `V_(0)=250m//s`, the first at the angle `theta_(1)=60^(@)` and the second at the angle `theta_(2)=45^(@)` to the horizontal, the azimuth being the same. Neglecting the air drag, find the approximate time interval between firings leading to the collision of the shells `(g=9.8m//s^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`Deltat=(2v_(0)sin(theta_(1)-theta_(2)))/((gcos theta_(1)+cos theta_(2)))=10.7 sec`
Promotional Banner

Similar Questions

Explore conceptually related problems

A boy throws a stone with a speed of V_(0) = 10 m/sec at an angle of theta_(0)= 30^(@) to the horizontal Find the position of the stone wrt the point of projection just after a time t = 1/2 sec.

A body of mass 3 kg moving with velocity 10 m/s hits a wall at an angle of 60^(@) and returns at the same angle. The impact time was 0.2 s. Calculate the force exerted on the wall.

A ball is thrown at angle theta and another ball is thrown at an angle (90^(@)-theta) with the horizontal direction from the same point with velocity 39.2 ms^(-1) . The second ball reaches 50 m higher than the first ball. Find their individual heights. Take g = 9.8 ms^(-2) .

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are v_(1) and v_(2) at angles theta_(1) and theta_(2) respectively from the horizontal, then ansewer the following questions The trajectory of particle 1 with respect to particle 2 wil be

Two particles are projected in air with speed v_(0) at angles theta_(1) and theta_(2) (both acute) to the horizontal,respectively.If the height reached by the first particle greater than that of the second,then thick the right choices

Two particles are projected from the same point with the same speed at different angles theta_1 & theta_2 to the horizontal. They have the same range. Their times of flight are t_1 & t_2 respectily

Two particles are projected from the same point with the same speed at different angles theta_1 & theta_2 to the horizontal. They have the same range. Their times of flight are t_1 & t_2 respectfully

A particle of mass m=1kg is projected with speed u=20sqrt(2)m//s at angle theta=45^(@) with horizontal find the torque of the weight of the particle about the point of projection when the particle is at the highest point.

A ball is projected from the ground at angle theta with the horizontal. After 1 s , it is moving at angle 45^@ with the horizontal and after 2 s it is moving horizontally. What is the velocity of projection of the ball ?

Two identical shells are fired from a point on the ground with same muzzle velocity at angle of elevation alpha=45^(@) and beta=tan^(-1)3 towards top of a cliff, 20 m away from the point of firing. If both the shells reach the top simultaneously, then time interval between two frings is