State whether the following statement is true or false:
The first law of motion is also known as Galileo's law of inertia.

$A$ passenger in a moving car slips to one side of the seat when the car takes a sharp turn. Give the reason for this.

Write answers to the following:
$(i)$ Mention the direction in which the force of friction acts on a moving body. State its units.
$(ii)$ Name the property of bodies (or objects) to resist a change in their state of rest or of motion. Name the quantity that is a measure of this property.
$(iii)$ Name the physical quantity whose unit is $kg\, m s^{-1}$. Define this quantity.

$(i)$ Name the property of bodies to resist a change in their velocity.
$(ii)$ What is the relationship between force and acceleration?
$(iii)$ What name is given to the product of mass and velocity of a body?
$(iv)$ Which physical quantity corresponds to the rate of change of momentum?
$(v)$ Name the principle on which a rocket works.

$(a)$ State the law of conservation of momentum.
$(b)$ $A$ body of mass $2 \, kg$,initially moving with a velocity of $10 \, m s^{-1}$,collides with another body of mass $5 \, kg$ at rest. After the collision,the velocity of the first body becomes $1 \, m s^{-1}$. Find the velocity of the second body.

$A$ horse continues to apply a force in order to move a cart with a constant speed. Explain why?