# Physics

posted by Pat

A bicyclist is coasting down a road that is sloped downward at an angle of 8°. The bicycle and bicyclist have a total mass of 80 kg. If the bicycle wheels roll freely, without any effect from friction or air resistance slowing the motion, how fast would the bicyclist accelerate?

1. Henry

Wc = mg = 80kg * 9.8N/kg = 784N. = Weight of bicyclist and bike.

Fc = 784N. @ 8deg.
Fp = 784sin8 = 109.1N.. = Force parallel to hill.

Fn = Fp = 1o9.1N.
Fn = ma,
a = Fn / m = 109.1 / 80 = 1.36m/s^2.

## Similar Questions

1. ### Physics/Math

A bicyclist travels in a circle of radius 35.0 m at a constant speed of 7.00 m/s. The bicycle-rider mass is 72.0 kg. Calculate the magnitude of the force of friction on the bicycle from the road. Calculate the magnitude of the net …
2. ### Physics/Math

A bicyclist travels in a circle of radius 35.0 m at a constant speed of 7.00 m/s. The bicycle-rider mass is 72.0 kg. Calculate the magnitude of the force of friction on the bicycle from the road. Calculate the magnitude of the net …
3. ### physics

a bicyclist is coasting on level ground at 32.35m/s. The bicyclist coasts up an incline of 20.5m at a 30degree angle. How fast is the bicyclist traveling when he grabs the limb?
4. ### physics

A bicyclist travels in a circle of radius 31.0 m at a constant speed of 5.00 m/s. The bicycle-rider mass is 88.0 kg. (a) Calculate the magnitude of the force of friction on the bicycle from the road. N (b) Calculate the magnitude of …
5. ### Physics

A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 85.0 kg, and the hill is inclined at 19.0° with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, …
6. ### Physics

A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 55.0 kg, and the hill is inclined at 16.0° with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, …
7. ### physics

A bicycle has wheels of radius 0.3 m. Each wheel has a rotational inertia of 0.088 kg× m2 about its axle. The total mass of the bicycle including the wheels and the rider is 79 kg. When coasting at constant speed, what fraction of …
8. ### Physics

A bicycle has wheels of radius 0.32 m. Each wheel has a roatational inertia of 0.080 kg•m^2 about its axle. The total mass of the bicycle including the wheels and the rider is 79 kg. When coasting at constant speed, what fraction …
9. ### physics

A bicyclist is pedaling along a road that is sloped upward with angle theta. At which of these road elevation angles must the bicycle wheels exert the greatest force back on the road to move the bicycle forward at the same constant …
10. ### Physics

A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 80 kg and the hill is inclines at 15 degrees with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, …

More Similar Questions