Let x (m) be the length that the spring is compressed. We know that when we drop the mass from 4.84 m above and compress the springi, ts gravitational energy shall be converted to spring potential energy due to the law of energy conservation

$E_g = E_p$

$mgh = 0.5kx^2$

where h = 4.84 + x is the distance from the dropping point the the compressed point, and k = 24N/cm = 2400N/m is the spring constant, g = 9.81 m/s2 is the gravitational acceleration constant. And m = 4.8 kg is the object mass.

$4.8*9.81(4.84 + x) = 0.5 * 2400 * x^2$

$47.088x + 227.906 = 1200x^2$

$1200x^2 - 47.088x - 227.906 = 0$

$x = 0.456m$ or 45.6 cm

5 0

4 years ago

A 15-kg bicycle carrying a 50-kg boy is traveling at a speed of 5 m/s. What is the KE of the bicycle and the boy?

vovangra [49]

Together as one moving package, their mass is (15 + 50) = 65 kg.

   Kinetic energy = (1/2) (mass) (speed)²

   = (1/2) (65 kg) (5 m/s)²

   = (32.5 kg) (25 m²/s²)

   =    812.5 kg-m²/s² = 812.5 joules .

4 0

4 years ago

In the year 2090, and Burt is still alive! Well, he’s really just a brain connected to a “life machine.” Since Burt has no body,

VLD [36.1K]

The answer is b hard theory

5 0

3 years ago

What does the difference in force depend upon?

bija089 [108]

The magnetic force on a moving charge, depends on three four things: the magnitude of the charge, the velocity of the charge, the strength of the magnetic field, and the angle between the velocity and the magnetic field.

6 0

3 years ago