Numerade

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$At the peak of its trajectory, a 995 -g fireworks rocket is moving horizontally at $18.6 \mathrm{~m} / \mathrm{s}$. It's a dud, and instead of exploding gloriously, it bursts into two pieces. One of them, with mass $372 \mathrm{~g}$, continues in the original direction at $31.3 \mathrm{~m} / \mathrm{s}$. How much energy did the two pieces gain when the rocket burst?$

At the peak of its trajectory, a 995 -g fireworks rocket is moving horizontally at $18.6 \mathrm{~m} / \mathrm{s}$. It's a dud, and instead of exploding gloriously, it bursts into two pieces. One of them, with mass $372 \mathrm{~g}$, continues in the original direction at $31.3 \mathrm{~m} / \mathrm{s}$. How much energy did the two pieces gain when the rocket burst?

$A child is on a swing whose 3.2 -m-long chains make a maximum angle of $50^{\circ}$ with the vertical. What's the child's maximum speed?$

A child is on a swing whose 3.2 -m-long chains make a maximum angle of $50^{\circ}$ with the vertical. What's the child's maximum speed?

$A biophysicist grabs the ends of a DNA strand with optical tweezers and stretches it $26 \mu \mathrm{m}$. How much energy is stored in the stretched molecule if its spring constant is $0.046 \mathrm{pN} / \mu \mathrm{m} ?$$

A biophysicist grabs the ends of a DNA strand with optical tweezers and stretches it $26 \mu \mathrm{m}$. How much energy is stored in the stretched molecule if its spring constant is $0.046 \mathrm{pN} / \mu \mathrm{m} ?$

$The motor in a 1590 -kg Nissan Leaf electric car supplies energy to the wheels at the rate of $80.0 \mathrm{~kW}$. (a) What's the maximum speed for the Leaf when it's ascending an $11.8^{\circ}$ slope using only its electric motor? (b) What's the motor's power output in horsepower? Neglect air resistance.$

The motor in a 1590 -kg Nissan Leaf electric car supplies energy to the wheels at the rate of $80.0 \mathrm{~kW}$. (a) What's the maximum speed for the Leaf when it's ascending an $11.8^{\circ}$ slope using only its electric motor? (b) What's the motor's power output in horsepower? Neglect air resistance.

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Melissa Munoz

Numerade educator

calculate the velocity v(t) and acceleration a(t) of the follwing vector trajectory r(t)=(e^(sin(t)) / sin(t^2+t)

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Drew S.