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Nookie1986 [14]

3 years ago

9

Zach, whose mass is 85 kg, is in an elevator descending at 8 m/s. The elevator takes 3.2 s to brake to a stop at the first floor

.What is Zach's weight while the elevator is braking?

1 answer:

Solnce55 [7]3 years ago

6 0

Explanation:

acceleration = 8/3.2 = 2.5m/s² ( acceleration due to gravity = g ).

mass = 85 kg.

weight = mg = 85×2.5 = 212.5N .

hope this helps you.

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A mass of 267 g is attached to a spring and set into simple harmonic motion with a period of 0.176 s. If the total energy of the

Gnoma [55]

Answer:

(a) 7.1 m /sec

(b) 339.9 N/m

(c) 19.91 cm

Explanation:

We have given mass m = 267 gram = 0.267 kg

Time period T = 0.176 sec

Total energy of the oscillating system = 6.74 J

We know that energy is given by

(a) $Ke=\frac{1}{2}mv_{max}^2$

$6.74=\frac{1}{2}\times 0.267\times v_{max}^2$

$v_{max}=7.1m/sec$

(b) Now $\omega =\frac{2\pi }{T}=\frac{2\times 3.14}{0.176}=35.681rad/sec$

We know that $\omega =\sqrt{\frac{k}{m}}$

$35.68=\sqrt{\frac{k}{0.267}}$

$k=339.9N/m$

(c) We know that energy is given by

$E=\frac{1}{2}KA^2$

$6.74=\frac{1}{2}\times 339.9\times A^2$

$A=19.91cm$

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