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Mike stands on a scale in an elevator. If the elevator is accelerating upwards with 4.9 m/s2, the scale reading is ____ times Mike's weight.

Sagot :

Answer:

F - M a      force exerted by scales on student

M a = M (9.8 + 4.9) m/s^2      upwards chosen as positive

a = 1.5 g        net acceleration of student  due to force of scales

W =M g       weight of student   (actual weight)

Wapp = M 1.5 * g      apparent weight (on scales) of student

In an elevator which is accelerating upwards with 4.9 m/[tex]s^{-2}[/tex], Mike's weight will be 1.5 times the actual weight.

In the question, it is given that the lift is accelerating upwards with 4.9 m/[tex]s^{-2}[/tex]

  • Let Mike's weight be "m", "g" is acceleration due to gravity and "a" be the upward acceleration
  • The upward acceleration of lift = 4.9 m/[tex]s^{-2}[/tex]
  • As the lift is accelerating upwards, the apparent weight (R) = m (g+a)
  • Apparent weight R = m*(9.8+4.9) N
  • Apparent weight R = m*(9.8+4.9)/9.8 Kgf
  • Apparent weight R = m*1.5

Hence, the apparent weight will be 1.5 times the real weight.

To know more about the relationship between an object accelerating upwards and the weight of the object, refer:

https://brainly.com/question/2293244

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