A dart is loaded into a spring-loaded toy dart gun by compressing the spring by a distance of $d$ . For the next loading, the spring is compressed by a distance $2d$ . How much faster does the second dart leave the gun compared to first?

Q. A dart is loaded into a spring-loaded toy dart gun by compressing the spring by a distance of $d$ . For the next loading, the spring is compressed by a distance $2d$ . How much faster does the second dart leave the gun compared to first?

Q. If it take a force of $95N$ to compress the spring of a toy Pop gun $0.175m$ to load a $0.160kg$ ball,with what speed will the ball leave the gun if fired horizontally?

Q.

A toy train moves due north at a constant speed 2 m/s along a straight track which is parallel to the wall of a room. The wall is to the east of the track at a distance 4m. There is a toy dart gun on the train with its barrel fixed in a plane perpendicular to the motion of the train. The gun points at an angle ${60}^{\circ }$ to the horizontal. There is a vertical line drawn on the wall, stretching from floor to ceiling, and the dart gun is fired at the instant when the line is due east of the gun. If the dart leaves the gun at speed 8 m/s relative to the gun, find the distance by which the dart misses the vertical line. That is, find how far north or south of the vertical line is the point at which the dart hits the wall.

Q. A ball of mass is fired from a spring loaded gun that is mounted on a table.If ball strikes to point B on ground. then find out initial compression of the spring (Assume table is smooth and spring constant of spring is k):

Q. The time period of a light loaded spring is $3.5$ seconds. On changing the load by $1$ kg, the period decreases by $0.5$ seconds. The initial load on the spring is