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 (vnew) becomes 2v. The new momentum (pnew) can be calculated using the formula:
pnew = m⋅vnew
Substituting vnew= 2v into the equation:
pnew = m⋅2v
if the initial momentum (p) is given as 3000 units, the new momentum (pnew) can be expressed as:
pnew=2⋅p
Substituting p=3000, pnew=2⋅3000
pnew=6000
Therefore, if the velocity of the ball is doubled, the new momentum will be 6000 units.
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Question : A metal ball and a rubber ball, both having the same mass, strike a wall normally with the same velocity. The rubber ball rebounds and the metal ball does not rebound. It can be concluded that:
Option 1: The rubber ball suffers a greater change in momentum
Option 2: The metal ball suffers a greater change in momentum
Option 3: Both suffer the same change in momentum
Option 4: The initial momentum of the rubber ball is greater than that of the metal ball
Question : Planck's Constant has the dimensions of:
Option 1: Energy
Option 2: Linear momentum
Option 3: Angular momentum
Option 4: Force
Question : What is the Earth's escape velocity?
Option 1: 2.8 km/s
Option 2: 5.6 km/s
Option 3: 11.2 km/s
Option 4: 14 km/s
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Option 1: 3 : 5
Option 2: 5 : 8
Option 3: 4 : 5
Option 4: 3 : 8
Question : Find the length of the arc if the angle at the centre of the circle of radius 7 units is 60°.
Option 1: $4$ units
Option 2: $\frac{11}{4}$ units
Option 3: $\frac{22}{3}$ units
Option 4: $21$ units
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