# Physics

posted by .

A cyclist approaches the bottom of a gradual hill at a speed of 20 m/s. The hill is 4.4 m high, and the cyclist estimates that she is going fast enough to coast up and over it without peddling. Ignoring air resistance and friction, find the speed at which the cyclist crests the hill.

• Physics -

The initial kinetic energy (1/2)M V^2 must equal or exceed the potential energy change at the top of the "hill", which is M g H.

Therefore V > sqrt (2 g H)

• Physics -

4

## Similar Questions

A cyclist approaches the bottom of a gradual hill at a speed of 14 m/s. The hill is 4.9 m high, and the cyclist estimates that she is going fast enough to coast up and over it without peddling. Ignoring air resistance and friction, …
2. ### Physics

A cyclist approaches the bottom of a gradual hill at a speed of 14 m/s. The hill is 4.0 m high, and the cyclist estimates that she is going fast enough to coast up and over it without peddling. Ignoring air resistance and friction, …
3. ### Physics

A cyclist approaches the bottom of a gradual hill at a speed of 20 m/s. The hill is 4.4 m high, and the cyclist estimates that she is going fast enough to coast up and over it without peddling. Ignoring air resistance and friction, …
4. ### physics

The cart starts from rest at the top of a hill with height, H2. It rolls down the hill and at the bottom of the hill it has a speed of 10 m/s. Next it is at the top of same hill but pushed so that it starts at the top of the hill with …
5. ### physics

A cyclist approaches the bottom of a gradual hill at a speed of 12.4 m/s. The hill is 6.7 m high and the cyclist estimates she is going fast enough to coast up and over it without peddling. Ignoring air resistance and friction, find …
6. ### physics

Lauren is pedaling down a steep hill on her bicycle and wants to be able to coast up the next hill, which is 25 meters high, without pedaling up the hill at all. What would her speed at the bottom need to be?
7. ### physics

Lauren is pedaling down a steep hill on her bicycle and wants to be able to coast up the next hill, which is 25 meters high, without pedaling up the hill at all. What would her speed at the bottom need to be?
8. ### Physics

A cyclist starts from rest and coasts down a 6.5∘{\rm ^\circ} hill. The mass of the cyclist plus bicycle is 95kg{\rm kg} . The cyclist has traveled 270m{\rm m} .What was the net work done by gravity on the cyclist?
9. ### math

a cyclist bikes at a speed of 6 m/s after rolling down a hill in 3 s. Of the cyclist has a constant acceleration of 2 m/s during the descent, what was the velocity of the cyclist at the top of the hill?
10. ### biomechanics

A cyclist is coasting up a hill. At t=0, the cyclist has a velocity of 14.27 m/s. If the acceleration of the cyclist is constant at -1.67 m/s2, how long will it take the cyclist to come to a complete stop?

More Similar Questions