Problem 3 A block accelerates at a constant rate down a long inclined ramp. The coefficient...

Question

Question

Problem 3 A block accelerates at a constant rate down a long inclined ramp. The coefficient of kinetic friction between the b

science physics

Answer 1

Answer #1

from the figure

let the total distance is x

x = vi*t+1/2*a*t^2

here acceleration = a

from the figure

ma = mgsin40- $\mu$ mgcos40

a = 9.8sin40- $\mu$ *9.8cos40 = 6.301- $\mu$ 7.51

x = 1/2(6.301- $\mu$ 7.51)*10^2 = 315.05- $\mu$ *375.5

at the 5 sec

speed vf = ( 6.301- $\mu$ 7.51)*5 = 31.505- $\mu$ *37.55

for last 5 sec

200 = (31.505- $\mu$ *37.55)*5+1/2*(6.301- $\mu$ 7.51)*5^2

200 = 236.2875- $\mu$ *281.625

$\mu$ = 0.129 (answer for part B)

length of the ramp

x = 315.05-0.129*375.5 = 266.61 m (answer for part A)

Answer 2

Similar Homework Help Questions

2. a- A 1.5 kg block slides down an inclined ramp with u 0.4. If the...

2. a- A 1.5 kg block slides down an inclined ramp with u 0.4. If the ramp angle is 17.0° and the length of it is 30.0 m, assuming it started sliding at 5 m/s. Find the speed of the block as it reaches the end of the ramp b- a- A 3 kg block is pushed against a spring with negligible mass and force constant k 4500 N/m, compressing it 0.220 m. When the block is released, it moves...
A 15kg block slides up a 30∘ inclined plane at a constant velocity. The coefficient of...

A 15kg block slides up a 30∘ inclined plane at a constant velocity. The coefficient of friction between the block and the plane is μk=0.2. In order for the block to slide up the incline, someone must apply a force to the block. What is the magnitude of the applied force if it points parallel to the incline? What is the magnitude of the applied force if it points horizontally instead?
A 15kg block slides up a 30∘ inclined plane at a constant velocity. The coefficient of...

A 15kg block slides up a 30∘ inclined plane at a constant velocity. The coefficient of friction between the block and the plane is μk=0.2. In order for the block to slide up the incline, someone must apply a force to the block. Part A: What is the magnitude of the applied force if it points parallel to the incline? Part B: What is the magnitude of the applied force if it points horizontally instead?

A 500-kg block is placed on highest end of a 50° ramp that is 50-m long...

A 500-kg block is placed on highest end of a 50° ramp that is 50-m long and it immediately starts to slide down hill. Identify all the forces acting on the block and then determine total amount of work done on the block if it travels all way to the bottom of the ramp. The static and kinetic coefficient of friction are μs= 0.4 μk= 0.4 respectively.
A block with the mass of 2kg is pushed up a long ramp with a 30...

A block with the mass of 2kg is pushed up a long ramp with a 30 degree incline at 2m/s. If the block travels 2m up the ramp, what is the coefficient of friction?
A 8 kg block sits on a ramp inclined at 12 degrees that has a coefficient...

A 8 kg block sits on a ramp inclined at 12 degrees that has a coefficient of friction of 0.5. A string runs from the block over a pulley at the top of the ramp and then hangs straight down to a suspended weight. If the block slides up the ramp at constant velocity, find the mass of the suspended weight.

A 6 kg block slides down a ramp which is at an incline of 15°. If...

A 6 kg block slides down a ramp which is at an incline of 15°. If the frictional force is 5.40 N, what is the coefficient of friction? Assume g = 10 m/s2 At what incline (measured in degrees) will the box slide at a constant velocity?
A block of mass 1.00 kg and the surface of an inclined plane have a coefficient...

A block of mass 1.00 kg and the surface of an inclined plane have a coefficient of static friction of 0.7. If the angle of the incline is 37 degrees, will the block slide down the plane? Include a force vector diagram. State all equations you are using, and show your solution.
A block of mass m = 3.5 kg is on an inclined plane with a coefficient...

A block of mass m = 3.5 kg is on an inclined plane with a coefficient of friction μ1 = 0.31, at an initial height h = 0.53 m above the ground. The plane is inclined at an angle θ = 54°. The block is then compressed against a spring a distance Δx = 0.11 m from its equilibrium point (the spring has a spring constant of k1 = 39 N/m) and released. At the bottom of the inclined plane...

3. A block with a mass of 5kg is given a kick up a ramp angled...

3. A block with a mass of 5kg is given a kick up a ramp angled at 35º such that its initial speed is 7.8 m/s. The block travels up the ramp for 4.3m before it stops moving and starts to slide back down. a) Find the initial mechanical energy (K + U) of the block. b) Find the final mechanical energy of the block. c) The answer to (a) is bigger than the answer to (b). That means the...