How does the velocity of the two carts combined compare to the initial velocity when the carts have equal mass?

How does the velocity of the two carts combined compare to the initial velocity when the carts have equal mass?

2 Answers. For a perfectly elastic collision, the final velocities of the carts will each be 1/2 the velocity of the initial velocity of the moving cart. For a perfectly inelastic collision, the final velocity of the cart system will be 1/2 the initial velocity of the moving cart.

What is the velocity of the two carts after the collision?

Now we consider a perfectly inelastic collision, in which the two carts stick together after collision. This means that the carts have a common final velocity, and m1v1i + m2v2i = (m1 + m2)vf. If one cart is initially at rest, say m2, then we have m1v1i = (m1 + m2)vf, and vf = m1v1i/(m1 + m2).

How to find the velocity of the combined carts after collision?

After the collision, the combined (vector sums, use correct signs) of the two carts’ momentum must equal the incoming momentum. Since you have the mass and velocity of one of the two cars, and the mass of the other, you should be able to find the missing velocity: p = mrivri = mrfvrf + mbfvbf.

What was the original speed of the 6 kg cart?

The original speed of the 6 kg cart was -5 m/s, or 5 m/s to the left. The original speed of the 6 kg cart can be calculated using the law of conservation of momentum. According to this law, the total momentum of a system before a collision is equal to the total momentum after the collision.

How to find velocity?

Determine the object’s original velocity by dividing the time it took for the object to travel a given distance by the total distance. In the equation V = d/t, V is the velocity, d is the distance, and t is the time.

When two carts having the same mass and the same speed collide and bounce?

Both momentum and kinetic energy are conserved quantities in elastic collisions. Suppose two similar trolleys are traveling toward each other with equal speed. They collide, bouncing off each other with no loss in speed. This collision is perfectly elastic because no energy has been lost.

What is the velocity of the 3 kg ball after the collision?

The velocity of the 3 kg ball is 4 m/s after the collision.

What is the formula for before collision and after collision?

Before the collision, one car had velocity v and the other zero, so the centre of mass of the system was also v/2 before the collision. The total momentum is the total mass times the velocity of the centre of mass, so the total momentum, before and after, is (2m)(v/2) = mv.

What is the formula for velocity after elastic collision?

Conservation of Momentum: The equation for conservation of momentum during an elastic collisions is: ( m 1 ) ( v 1 i ) + ( m 2 ) ( v 2 i ) = ( m 1 ) ( v f 1 ) + ( m 2 ) ( v 2 f ) , where the velocities before and after are described by their labeling where v 1 i , v 2 i represent the initial velocities and v 1 f , v 2 …

What is the formula for head on collision?

In head on collision of two point particles,loss in kinetic energy is given by. ΔK=m1m22(m1+m2)|→u1−→u2|2(1−k2)

What is the formula for initial velocity?

Let us take a quick look at those formulas. The first formula to find initial velocity is u = v – at.

What is the velocity of center of mass before and after collision?

Since, there is no external force acting on the system, the velocity of center of mass remains same before and after the collision.

When two carts having the same mass and the same speed collide and stick together they stop is momentum conserved?

Two objects that have equal masses head toward each other at equal speeds and then stick together. The two objects come to rest after sticking together, conserving momentum but not kinetic energy after they collide. Some of the energy of motion gets converted to thermal energy, or heat.

How does changing mass affect the velocity of the cart?

The weighted cart decreases in velocity because, as you add masses to it, it still has the same initial force that gives it motion (the explosion). Since this same force has to move a larger mass that has more inertia, the cart moves more slowly.

What happens when two objects with the same mass collide?

When two objects with the same mass collide, Newton’s laws tell us that they will accelerate the same amount but in opposite directions. Recall that force, velocity, and acceleration have both magnitude and direction. We use positive and negative signs to indicate the direction of each of these quantities.

How can two carts have the same momentum but different mass?

The product of their mass and velocity must be equal in magnitude. So whichever cart has the smallest mass must be moving with a greater velocity in order to have the same momentum. In fact, the cart which has one-half the mass must have two-times the velocity.