What are some forces that would change the motion of a bicycle traveling along a road?
Friction, gravity, air resistance, and muscle.
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Some forces that would change the motion of a bicycle traveling along a road include:
- Friction between the tires and the road surface.
- Air resistance or drag acting against the bicycle's forward motion.
- Gravitational force exerted by the Earth, affecting the bicycle's downhill or uphill movement.
- Applied forces from the rider, such as pedaling or braking.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- If an object is moving at #24 m/s# over a surface with a kinetic friction coefficient of #u_k=6 /g#, how far will the object continue to move?
- A box with an initial speed of #3 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #2/5 # and an incline of #pi /4 #. How far along the ramp will the box go?
- An object with a mass of #6# #kg# is hanging from a spring with a constant of #12# #kgs^-2#. If the spring is stretched by # 2# #m#, what is the net force on the object?
- An object with a mass of # 14 kg# is lying still on a surface and is compressing a horizontal spring by #1 m#. If the spring's constant is # 7 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
- An object, previously at rest, slides #3 m# down a ramp, with an incline of #pi/6 #, and then slides horizontally on the floor for another #4 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
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