Question : A ball possesses 3000 units of momentum. What would be the ball's new momentum if its velocity was doubled?
Option 1: 3000 units
Option 2: 6000 units
Option 3: 20000 units
Option 4: 9000 units
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Correct Answer: 6000 units
Solution : The correct option is 6000 units.
The momentum (p) of an object is given by the product of its mass (m) and velocity (v). Mathematically, it is expressed as:
p=m⋅v
If the velocity (v) of the ball is doubled, the new velocity (v new ) becomes 2v. The new momentum (p new ) can be calculated using the formula:
p new = m⋅v new
Substituting v new = 2v into the equation:
p new = m⋅2v
if the initial momentum (p) is given as 3000 units, the new momentum (p new ) can be expressed as:
p new =2⋅p
Substituting p=3000, p new =2⋅3000
p new =6000
Therefore, if the velocity of the ball is doubled, the new momentum will be 6000 units.
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