Question

A single conservative force acts on a body of mass 1 kg that moves along the x-axis. The potential energy U(x) is given by U (x) = 20 + (x - 2)², where x is in meters. At x = 5.0 m the particle has a kinetic energy of 20 J, then the maximum kinetic energy of body is ______ J.

विकल्प

• 29

• 19

• 39

• 49

Answer 1

A single conservative force acts on a body of mass 1 kg that moves along the x-axis. The potential energy U(x) is given by U (x) = 20 + (x - 2)², where x is in meters. At x = 5.0 m the particle has a kinetic energy of 20 J, then the maximum kinetic energy of body is 29 J.

Explanation:

At x = 5 m,

U = 29 J and K = 20 J

∴ E = 49 J

Now, E = U_min + K_max

49 = 20 + K_max

49 - 20 = K_max

K_max = 29 J