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Ivanshal [37]
3 years ago
12

A 3.75 kg ball is lifted from the floor to a height of 1.5 m above the floor. What is its increase in potential energy?

Physics
1 answer:
inysia [295]3 years ago
4 0
<span>We can use a simple equation to calculate the increase in gravitational potential energy. PE = mgh m is the mass of the object g is the acceleration due to gravity h is the change in height PE = mgh PE = (3.75 kg) (9.80 m/s^2) (1.5 m) PE = 55.1 Joules The increase in gravitational potential energy is 55.1 Joules.</span>
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Determine the kinetic energy of a 625-kg roller coaster car that is moving with a speed of 10 m/s.
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Hi there!

Kinetic energy can be calculated using the following:

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KE = Kinetic energy (J)

m = mass (kg)

v = velocity (m/s)

Plug in the given values:

KE = \frac{1}{2}(625)(10^2) = \boxed{31250J}

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The most complex level of organization within large organisms, such as elephants, is the organ system.
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A horizontal circular platform (m = 119.1 kg, r = 3.23m) rotates about a frictionless vertical axle. A student (m = 54.3kg) walk
Murrr4er [49]

Answer:

\omega_2=5.1rad/s

Explanation:

Since there is no friction angular momentum is conserved. The formula for angular momentum thet will be useful in this case is L=I\omega. If we call 1 the situation when the student is at the rim and 2 the situation when the student is at r_2=1.39m from the center, then we have:

L_1=L_2

Or:

I_1\omega_1=I_2\omega_2

And we want to calculate:

\omega_2=\frac{I_1\omega_1}{I_2}

The total moment of inertia will be the sum of the moment of intertia of the disk of mass m_D=119.1 kg and radius r_D=3.23m, which is I_D=\frac{m_Dr_D^2}{2}, and the moment of intertia of the student of mass m_S=54.3kg at position r (which will be r_1=r=3.23m or r_2=1.39m) will be I_{S}=m_Sr_S^2, so we will have:

\omega_2=\frac{(I_D+I_{S1})\omega_1}{(I_D+I_{S2})}

or:

\omega_2=\frac{(\frac{m_Dr_D^2}{2}+m_Sr_{S1}^2)\omega_1}{(\frac{m_Dr_D^2}{2}+m_Sr_{S2}^2)}

which for our values is:

\omega_2=\frac{(\frac{(119.1kg)(3.23m)^2}{2}+(54.3kg)(3.23m)^2)(3.1rad/s)}{(\frac{(119.1kg)(3.23m)^2}{2}+(54.3kg)(1.39m)^2)}=5.1rad/s

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3 years ago
Which of the following is TRUE about inertia based on Galileo’s conception? A. Inertia is responsible for the continuous acceler
Arlecino [84]

Inertia is a property of all the objects. Galileo stated that inertia is proportional to mass. Therefore, the answer is D.

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