Question

The four balls have different masses and speeds.

Answer 1

Answer:

The balls whose velocity and mass is given and momentum of the balls are ranked as C, A, D, B from greatest to least.

Explanation:

Momentum is the quantity of physics. Momentum is the product of mass and velocity of the object. Rate of change in momentum is called as force, change in momentum is called impulse. The units of momentum is kg.m/s  

Momentum is represented as P which is given by the formula:

$P = m \times a$

Now to calculate the momentums of balls in which speed and mass was given,

Take Ball A:

Mass = $m_A$ = 0.7 kg, Speed = $a_A$ = 15.0 m/s

Momentum $(P_A)$ = 0.7 $\times$ 15.0

Therefore,

$P_A$ = 10.5 kg.m/s

Momentum of ball A is 10.5 kg.m/s

Take Ball B:

Mass = $m_B$ = 1.2 kg, Speed = $a_B$ = 5.5 m/s

Momentum $(P_B)$ = 1.2 \times 5.5

Therefore,

$P_B$ = 6.6 kg.m/s

Momentum of ball B is 6.6 kg.m/s

Take Ball C:

Mass = $m_C$ = 2.5 kg, Speed = $a_C$ = 5.0 m/s.  

Momentum $(P_C)$ = 2.5 \times 5

Therefore,

$P_C$ = 12.5 kg.m/s

Momentum of ball C is 12.5 kg.m/s

Take Ball D:

Mass = $m_D$ = 5.0 kg, Speed = $a_D$ = 1.5 m/s.

Momentum $(P_D)$ = 5.0 $\times$ 1.5

Therefore,

$P_D$ = 7.5 kg.m/s

Momentum of ball D is 7.5 kg.m/s

On comparing the values of momentum,

$C>A>D>B$

Answer 2

Answer:

C, A, D, B

Explanation:

You just need to calculate the momentum of each ball, by p=m*v

pA = 0.7kg*15m/s = 10.5 kg-m/s

pB = 1.2kg*5.5m/s = 6.6 kg-m/s

pC = 2.5kg*5m/s = 12.5 kg-m/s

pD 5kg*1.5 = 7.5 kg-m/s

Rankin them, we will have: C, A, D, B.