Two students are assisting their teacher with a forcel/mpulse demonstration. One student sits on a large skate cart while the other student pushes him. Ignoring any effects of friction or air resistance, which of the following is true about the lotal momentum of this system? An object which is moving has zero momentum . This problem cannot be solved. The force multiplied by the time equals the mass multiplied by the change in velocity. It is greater before the collision than after the collision Momentum change equals Impulse multiplied by time, then divided by the force.

## Step 1<br />The problem involves the concept of momentum in physics. Momentum is a vector quantity, which means it has both magnitude and direction. It is defined as the product of an object's mass and its velocity.<br /><br />## Step 2<br />The law of conservation of momentum states that the total momentum of a closed system remains constant if no external forces act on it. In this case, the system is the student on the skate cart and the student pushing him. Since we are ignoring friction and air resistance, which are external forces, the total momentum of the system remains constant.<br /><br />## Step 3<br />The formula for momentum is given by:<br />### \( p = m \cdot v \)<br />where \( p \) is momentum, \( m \) is mass, and \( v \) is velocity.<br /><br />## Step 4<br />The formula for impulse is given by:<br />### \( J = F \cdot t \)<br />where \( J \) is impulse, \( F \) is force, and \( t \) is time.<br /><br />## Step 5<br />The change in momentum is equal to the impulse applied on the object. This can be represented by the equation:<br />### \( \Delta p = J \)<br />where \( \Delta p \) is the change in momentum and \( J \) is the impulse.<br /><br />## Step 6<br />The impulse is also equal to the force multiplied by the time, which can be represented by the equation:<br />### \( J = F \cdot t \)<br /><br />## Step 7<br />The change in momentum is also equal to the force multiplied by the time, which can be represented by the equation:<br />### \( \Delta p = F \cdot t \)