pls answer this question
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Answered by
46
Answer:
a) 30 m/s
b) 60 kg m/s
Explanation:
Given :
- Force acting on the body = 15 Newtons
- Mass of the object = 2 kg
- Time taken = 4 seconds
- Initial velocity = u = 0 m/s
To find :
- Velocity acquired by the body
- Change in momentum of the body
F = mass(final velocity - Initial velocity) /time
15 = 2(v-0)/4
60=2v
v = 60/2
v = 30 m/s
a) 30 m/s
Change in momentum = mv-mu
Change in momentum = 2×30 - 2×0
Change in momentum = 60-0
Change in momentum = 60 kg m/s
b) 60 kg m/s
Answered by
103
Answer:
Given:
- A force of 15 N acts on a body of mass 2Kg for 4s, Initally at rest.
Find:
Calculate:
- The velocity acquired by the body.
- Change in momentum of the body.
Know terms:
- Initial velocity = (u)
- Time taken = (t)
- Final velocity = (v)
- Mass = (M)
Using formula:
★ ![{\sf{\underline{\boxed{\orange{\sf{F = \dfrac{M(v - u)}{t}}}}}}} {\sf{\underline{\boxed{\orange{\sf{F = \dfrac{M(v - u)}{t}}}}}}}](https://tex.z-dn.net/?f=%7B%5Csf%7B%5Cunderline%7B%5Cboxed%7B%5Corange%7B%5Csf%7BF+%3D++%5Cdfrac%7BM%28v+-+u%29%7D%7Bt%7D%7D%7D%7D%7D%7D%7D)
Calculations:
⇒
⇒
⇒
⇒ ![{\sf{\underline{\boxed{\red{\sf{v = 30 \: m/s}}}}}} {\sf{\underline{\boxed{\red{\sf{v = 30 \: m/s}}}}}}](https://tex.z-dn.net/?f=%7B%5Csf%7B%5Cunderline%7B%5Cboxed%7B%5Cred%7B%5Csf%7Bv+%3D+30+%5C%3A+m%2Fs%7D%7D%7D%7D%7D%7D)
Using formula:
★ ![{\sf{\underline{\boxed{\orange{\sf{Momentum's \: change = mv - mu}}}}}} {\sf{\underline{\boxed{\orange{\sf{Momentum's \: change = mv - mu}}}}}}](https://tex.z-dn.net/?f=%7B%5Csf%7B%5Cunderline%7B%5Cboxed%7B%5Corange%7B%5Csf%7BMomentum%27s+%5C%3A+change+%3D+mv+-+mu%7D%7D%7D%7D%7D%7D)
Calculations:
⇒
⇒
⇒ ![{\sf{\underline{\boxed{\red{\sf{60 \: kg \: m/s}}}}}} {\sf{\underline{\boxed{\red{\sf{60 \: kg \: m/s}}}}}}](https://tex.z-dn.net/?f=%7B%5Csf%7B%5Cunderline%7B%5Cboxed%7B%5Cred%7B%5Csf%7B60+%5C%3A++kg+%5C%3A+m%2Fs%7D%7D%7D%7D%7D%7D)
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