Mechanics | Relativity Answers

2200 kg car moving at 40 km/h collides head on with an 1800 kg car moving at 20 km/h. find the velocity of the combined cars after the collision.

A bullet of mass 0.0600 kg is fired into a block of wood.
If the bullet is moving at 330 m/s as it enters the block and takes 0.15 s to stop, find the average force required to stop the bullet and the impulse exerted by the wood on the bullet.

Q-1 A uniform solid sphere of mass M and radius R hangs from a string of length R/2. Suppose the sphere is released from an initial position making an angle of 45 with the vertical
a) Calculate the angular velocity of the sphere when it swings through the vertical position.
b) Calculate the tension in the string at this instant.
Q-2 Two automobiles both of 1200kg and both trvelling at 30km/h collide on a frictionless icy road.They were initially moving on parallel paths in opposite directions, with a center -to -center distance of 1.0m. In the collision, the moment of inertia of this body about its center of mass is 2.5*10 power 3 kgm power 2.
a)Calculate the angular velocity of yhe wreck.
b) Calculate the kinetic energy before and after the collision. What is the change in Kinetic Energy?

The benches of a gallery in a cricket stadium are 1m wide & 1m high. A batsman strikes the ball at a level one mete above the ground & hits a mammoth sixer . The ball starts at35m/s at an angle of 53 degree with thehorizontal. T he benches are perpendicular to the plain of motion & the first bench is 110m from the batsman. On which bench the ball hit.

A 50 kg body is applied with a force for 8 sec. After that the force is removed but the body continous in the motion for 5 sec and cover a displacement of 50m. Find the force.

Water is shooting at the same speed out of the three tubes placed on the ground at different angles of 60°, 45°, and 30° to the horizon. Find the ratio of the greatest heights the streams can reach andthe ratio of distances from the mouths of the tubes the points where the streams hit the ground.

A plane is flying in a straight line at an unchanging height and unchanging speed. The pilot must drop an object onto a target in front of the plane. At what angle must the pilot see the target at the moment of dropping the object? At that moment, what is the distance between the target and the plane’s projection onto the ground? Disregard air resistance.

A stone is dropped from a height h. Simultaneously another stone is thrown up from the ground with such a velocity that it can reach a height 4h. Find the time when two stone cross each other?

A car body of mass M has four disc wheels each of mass m.
It rolls on a horizontal track having uniform velocity of mass centre of car is V.
Determine the total work done by the system to move the car by 1metere.

A 1500 kg car is moving westward with a acceleration of 2 m/s2 and a 3000 kg track is travelling east with a acceleration of 1.6 m/s2 from the same position starting from the rest. Find the position, velocity and acceleration of the center of mass of the system from their starting point after 1 hour.