Question

A block of mass 19.6 kg starts at rest at the top of a frictionless ramp...

A block of mass 19.6 kg starts at rest at the top of a frictionless ramp that makes an angle of 36.2 ^\circ ∘ below the horizontal. After it slides without friction down the entire 2.89 m length of the ramp, it begins to slide horizontally along a rough concrete surface with a coefficient of kinetic friction of \mu_kμ k = 0.503 until it slows to a complete stop. How far does the block slide horizontally along the concrete before it stops? [Note : this question may contain more information than is necessary to solve the problem.]

Homework Answers

Answer #1

Mass of block = m = 19.6 kg

Angle of ramp = = 36.2o below the horizontal

Length of ramp = L = 2.89 m

Height of ramp = h

Coefficient of kinetic friction on rough horizontal floor = k = 0.503

Velocity of block at the end of the ramp = V1

Final velocity of the block = V2 = 0 m/s (It slows to a complete stop)

From the figure,

Sin = h/L

Sin(36.2) = h/(2.89)

h = 1.706 m

The potential energy of the block at the top of the ramp is converted into kinetic energy at the bottom of the ramp

V1 = 5.785 m/s

From the free body diagram,

N = mg

f = kN

f = kmg

ma = f

ma = kmg

a = kg

a = (0.503)(9.81)

a = 4.93 m/s2

a = -4.93 m/s2 (Negative sign as the block is decelerating)

Distance the block slides horizontally before it stops = d

V22 = V12 + 2ad

02 = 5.7852 + 2(-4.93)d

d = 3.39 m

The block slides 3.39m horizontally along the concrete before it stops.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A block (4 kg) starts from rest and slides down a frictionless ramp #1 of height...
A block (4 kg) starts from rest and slides down a frictionless ramp #1 of height 9 m. The block then slides a horizontal distance of 1 m on a rough surface with kinetic coefficient of friction μk = 0.5. Next, it slides back up another frictionless ramp #2. Find the following numerical energy values: Initial gravitational potential energy on Ramp #1: U1G =  J Tries 0/3 Kinetic energy at bottom of Ramp #1 before traveling across the rough surface: K...
block 1 of mass m1 slides from rest along a frictionless ramp from an unknown height...
block 1 of mass m1 slides from rest along a frictionless ramp from an unknown height h and then collides with stationary block 2, which has mass m2 = 3m1 . The collision is an elastic one. After the collision, block 2 slides into a friction-filled region where the coefficient of kinetic friction is 0.5 and comes to a stop through a distance d = 10 m in that region. What is the height h?
There is a variable amount of friction between a block of mass m and a ramp...
There is a variable amount of friction between a block of mass m and a ramp at an angle θ above the horizontal. The kinetic and static coefficients of friction are equal but vary as µ=Ax, where x is measured along the ramp and x = 0 is the bottom of the ramp. The block is sent up the ramp with an initial speed v0, and comes to a stop somewhere on the ramp. In the following parts, take your...
A 10kg block rests at the top of a frictionless ramp. The ramp has an angle...
A 10kg block rests at the top of a frictionless ramp. The ramp has an angle of inclination of 37 degrees with respect to the horizontal surface, and a length of 10 meters. The coefficient of static friction between the block and the ramp is .37, the coefficient of kinetic friction is .25. a) Will the block move? b) If so, how long will it take to reach the end of the ramp. c) If so, how fast will it...
A block of mass 2.51 kg is moving at 6.6 m/s on a flat frictionless plane....
A block of mass 2.51 kg is moving at 6.6 m/s on a flat frictionless plane. It then starts to slide up an incline plane set at an angle of 35 degrees. What is the length ( the length of the incline) it slides before it stops ( in meters )?
A block of mass M sits at rest at the top of a frictionless curved ramp...
A block of mass M sits at rest at the top of a frictionless curved ramp of height h. After being released, the block is moving with speed 4v when it collides with a block of mass 1.5M at the bottom of the ramp. Immediately following the collision, the larger block has a speed 2v. The second block is attached to a vertical rope, and swings freely as a pendulum after the collision. The pendulum string has length L. a)...
A stationary block of mass 5 kg explodes into two pieces L and R that slide...
A stationary block of mass 5 kg explodes into two pieces L and R that slide across a frictionless floor. The left piece slides across the region with friction and stops, the right piece compresses a spring. Momentum is conserved during the explosion. Piece L has a mass of 2 kg and encounters a flat surface with coefficient of kinetic friction µL = 0.4 and slides to a stop in distance dL = 0.5 m. Piece R slides across the...
A.Your mass m=11 kg block slides down a frictionless ramp having angle theta=0.51 radians to the...
A.Your mass m=11 kg block slides down a frictionless ramp having angle theta=0.51 radians to the horizontal. After sliding down the ramp a distance L=16 m the block encounters a spring of spring constant k=551 N/m. The spring is parallel to the ramp. Use g=9.74 m/s/s for the acceleration of gravity. Calculate the maximum compression of the spring, in meters. Include labeled diagrams showing the initial and final configurations, and a discussion of the solution method based on energy conservation....
Block 1, with mass m1 and speed 5.4 m/s, slides along an x axis on a...
Block 1, with mass m1 and speed 5.4 m/s, slides along an x axis on a frictionless floor and then undergoes a one-dimensional elastic collision with stationary block 2, with mass m2 = 0.65m1. The two blocks then slide into a region where the coefficient of kinetic friction is 0.56; there they stop. How far into that region do (a) block 1 and (b) block 2 slide?
A 25.0 kg block slides down a ramp that is elevated at 36.0° a distance of...
A 25.0 kg block slides down a ramp that is elevated at 36.0° a distance of 5.00 m. The coefficient of kinetic friction is 0.220. (a) What is the potential energy of the block before it begins to slide? (b) What is the work done by friction as the block slides down the ramp (said energy being converted into heat)? (c) What is the speed of the block when it reaches the bottom? Please explain why we need to use...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal...
    asked 9 minutes ago
  • what type of graph is best suitable for data obtained from customer ratings. The ratings are...
    asked 12 minutes ago
  • Determine the cumulative 15-year 18 kip ESAL’s in the design lane for 2-lane highway for the...
    asked 20 minutes ago
  • Q: Dr.Grimace, the evil dentist, is trying to find out if his patients suffer from periodontal...
    asked 20 minutes ago
  • After collecting data on 19283 dogs, you find that male vallhunds have an average weight of...
    asked 22 minutes ago
  • Research Target Corporation and assess your satisfaction with the company you researched and make recommendations about...
    asked 23 minutes ago
  • Evidence suggests that 70% of FSU students like turtles. Suppose we randomly sampled 15 FSU students....
    asked 23 minutes ago
  • Ulrich challenges the appropriateness of the nearly universal symbolism of the spinning wheel as the marker...
    asked 24 minutes ago
  • Differential Equations: Please try to computer type, if not possible be clear and organize. Thank you...
    asked 24 minutes ago
  • In your opinion, what are the three (3) most important benefits an employer can give to...
    asked 30 minutes ago
  • In a test of the effectiveness of garlic for lowering​ cholesterol, 81 subjects were treated with...
    asked 32 minutes ago
  • How does the 95% confidence interval correspond to the reported conclusion at a 0.05 significance level?...
    asked 33 minutes ago