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4 years ago

An object weighs 42.53 newtons. What is its mass if a gravitometer indicates that g = 9.83 m/s2? Round to the nearest tenth.

2 answers:

6 0

<span>Scales give forces, F, that we convert to masses (m) using the relationship for the force of gravity F = m g. You have m = 42.53N / 9.83 m/s = mass in kg. Divide and conquer.</span>

enot [183]4 years ago

3 0

42.53/9.83 = 4.3265.... = 4.3

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2 years ago

A car traveling at 28.0 m/s hits a bridge abutment. A passenger in the car, who has a mass of 49.0 kg, moves forward a distance

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3 years ago

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3 years ago

Read 2 more answers

At what speed, as a fraction of c , is a particle's total energy twice its rest energy

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The rest energy of a particle is
$E_0=m_0 c^2$
where $m_0$ is the rest mass of the particle and c is the speed of light.

The total energy of a relativistic particle is
$E=mc^2 = \frac{m_0 c^2}{ \sqrt{1- \frac{v^2}{c^2} } }$
where v is the speed of the particle.

We want the total energy of the particle to be twice its rest energy, so that
$E=2E_0$
which means:
$\frac{m_0c^2}{ \sqrt{1- \frac{v^2}{c^2} } }=2m_0 c^2$
$\frac{1}{ \sqrt{1- \frac{v^2}{c^2} } }=2$
From which we find the ratio between the speed of the particle v and the speed of light c:
$\frac{v}{c}= \sqrt{1- (\frac{1}{2})^2 } =0.87$
So, the particle should travel at 0.87c in order to have its total energy equal to twice its rest energy.

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3 years ago