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Juliette [100K]
3 years ago
15

If a roller coaster cart needs more Kinetic Energy to reach the top of the track, what are two ways to increase the amount of Ki

netic Energy the cart has? Provide evidence to support your answer.
Physics
1 answer:
Neko [114]3 years ago
3 0

Answer:

Increase the mass or velocity.

Explanation:

The formula of Kinetic Energy is Ek=1/2*m*v^2. So both increase the mass or velocity can increase the Ek.

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Explanation:

Terminal velocity is given by:

v_t=\sqrt{\frac{2mg}{\rho C_dA}}

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A=\frac{A_s}{2}=\frac{930cm^2}{2}=465cm^2\\465cm^2*\frac{1m^2}{10^4cm^2}=0.0465m^2\\560g*\frac{1kg}{10^3g}=0.56kg

Recall that drag coefficient for a horizontal skydiver is equal to 1 and air density is 1.28\frac{kg}{m^3}.

v_t=\sqrt{\frac{2(0.56kg)(9.8\frac{m}{s^2})}{(1.28\frac{kg}{m^3}(1)(0.0465m^2)}}\\v_t=13.58\frac{m}{s}

Without drag contribution the motion of the person is an uniformly accelerated motion, thus:

v_f^2=v_o^2+2gh\\v_f=\sqrt{2gh}\\v_f=\sqrt{2(9.8\frac{m}{s^2})(5m)}\\v_f=9.9\frac{m}{s}

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