# A box with an initial speed of #4 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #5/4 # and an incline of #(3 pi )/4 #. How far along the ramp will the box go?

The distance is

Consequently, the object's net force is

Newton's Second Law of Motion states

So

A deceleration is indicated by the negative sign.

Utilize the equation of motion.

By signing up, you agree to our Terms of Service and Privacy Policy

To find how far along the ramp the box will go, you can use the work-energy principle. First, calculate the work done by the kinetic friction force and the work done by the gravitational force parallel to the incline. Then, equate the total work done to the change in kinetic energy of the box. The distance along the ramp can be found using trigonometry.

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- An object with a mass of # 18 kg# is lying on a surface and is compressing a horizontal spring by #60 cm#. If the spring's constant is # 18 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
- An object, previously at rest, slides #6 m# down a ramp, with an incline of #(3pi)/8 #, and then slides horizontally on the floor for another #8 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
- A flower pot with a mass of 6.8kg is hanging by 4 wires that make an angle of 53° from the horizontal. If there were 7 wires connected to the pot instead of 4, what would the tension on each wire be?
- An object with a mass of #6 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 1+cotx #. How much work would it take to move the object over #x in [(pi)/8, (3pi)/8], where x is in meters?
- What is the cause of inertia?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7