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A particle is projected up from a point ...

A particle is projected up from a point at an angle `theta` with the horizontal direction. At any time t'. if p is the linear momentum, y is the vertical displacement, x is horizontal displacement, the graph among the following which does not represent the variation of Kinetic energy KE of the particle-

A

Graph A

B

Graph B

C

Graph C

D

Graph D

Text Solution

Verified by Experts

The correct Answer is:
A
`KE = 1/2 mv^(2) = p^(2)/(2m)`
`KE prop P^(2)`
`KE = 1/2 mV^(2) =1/2 m(u^(2) + g^(2)t^(2) - 2ugt sin theta) (v = v_(x) hati + v_(y)hatj)`
`v^(2) = u^(2) - 2gy`
K.E `=1/2 m^(2)(u^(2) - 2gy)`
Intercept on y-axix `=1/2 mu^(2) = 1/2 m(x/t)^(2)`
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