Respuesta :
Given :-
- Mass of the object is 3kg .
- Its momentum is 1500kg m/s
To Find :-
- Its velocity .
Solution :-
As we know that , the amount of motion contained in a body is called momentum . Mathematically ,
[tex]\sf\twoheadrightarrow Momentum = mass * velocity\\\\[/tex]
[tex]\sf\twoheadrightarrow 1500kg\ m/s = 3kg * v\\\\ [/tex]
[tex]\sf\twoheadrightarrow v =\dfrac{1500kg\ m/s}{3kg}\\\\[/tex]
[tex]\sf\twoheadrightarrow \underline{\underline{\blue{ velocity = 500m/s}}}[/tex]
VELOCITY
Problem:
» An object whose mass is 3 kg is fired from an artillery cannon, giving it a forward momentum of 1050 kg•m/s . What is its velocity?
Answer:
- [tex] \color{hotpink} \bold{500 \: m/s} \\ [/tex]
— — — — — — — — — —
— To calculate the velocity of a momentum, use formula:
- [tex] \underline{ \boxed{ \tt v= \frac{p}{m} }} \\ [/tex]
where,
- v is the velocity measured in meters per second (m/s)
- p is the momentum in kg•m/s
- m is the mass measured in kilograms (kg)
Solution:
Since the givens are 3 kg mass, and 1050 kg•m/s momentum, then...
Using the formula/equation above, we get
- [tex] \tt \: v = \frac{p}{m}\\[/tex]
- [tex] \tt \: v = \frac{1500 \: kg \cdot m/s}{3 \: kg} \\[/tex]
- [tex] \tt v = \underline{ \boxed{ \blue{ \tt 500 \: m/s}}}\\[/tex]
[tex] \therefore \sf Its \: velocity \: is \: \: \bold{500 \: m/s}[/tex]
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