1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rainbow [258]
3 years ago
15

A block is placed on a frictionless ramp at a height of 11.5 m above the ground. Starting from rest, the block slides down the r

amp. At the bottom of the ramp, the block slides onto a frictionless horizontal track without slowing down. At the end of the horizontal track, the block slides smoothly onto a second frictionless ramp. How far along the second ramp does the block travel before coming to a momentary stop, as measured along the incline of the ramp?After the block comes to a complete stop on the second ramp, it will then begin moving back down the second ramp. What is the speed of the block when it is 6.25 m, vertically, above the ground?

Physics
1 answer:
Dennis_Churaev [7]3 years ago
6 0

The image showing the inclined plane and and the angle has been attached.

Answer:

The speed of the block when it is 6.25 m, vertically, above the ground is 10.15 m/s

Explanation:

A) Distance the block travels before coming to a momentary stop;

The block will rise to the same height it started at. Hence, the distance along second ramp is;

D = 11.5/sin21.5° = 11.5/0.3665 = 31.38m

B) From the question the ramp is frictionless, and thus we can use conservation of potential and kinetic energy to determine the velocity at the bottom of the first ramp.

In conservation of energy,

K1 + U1 = K2 + U2

Where K1 = initial kinetic energy,

K2 = Final kinetic energy

U1 = Initial potential energy

U2 = Final potential Energy

At this first ramp, initial kinetic energy and final potential energy are both zero, thus U1 = K2

Initial Potential energy(U1) = Mgh

So, U1 = M x 9.81 x 11.5 = 112.82M

Final Kinetic Energy(K2) = ½Mv²

So, from equation of conservation of energy,

112.82M = ½Mv²

Now, M will cancel out,so,

112.82 = ½v²

Multiply both sides by 2 to get ;

225.64 = v²

Thus,

v = √225. 64

v = 15.02 m/s.

Since the, second ramp is also frictionless , we can use the equation of conservation of potential and kinetic energy used earlier to determine the velocity at a height of 6.25 m.

Thus,

Final Potential Energy(U2) = M x 9.81 x 6.25 = 61.81M

Now, for us to determine the block’s kinetic energy at this height position, we have to determine the change in Potential energy from the beginning on the first ramp and now on the second ramp

Thus,

KE = 112.82M – 61.81M = 51.51M

½Mv² = 51.51M

M will cancel out and thus,

½v² = 51.51

Multiply both sides by 2 to get;

v² = 51.51 x 2 = 103.02

v = √103.02 = 10.15 m/s

This is approximately 10.15 m/s.

You might be interested in
. A 13-g goldfinch has a speed of 8.5 m/s. What is its kinetic energy?
lesya692 [45]
PLEASE PRESS THE “Thanks!” BUTTON! :)
13 g —> 0.013 kg
KE = 1/2(m)(v)^2
KE = 1/2(0.013)(8.5)^2
KE = 0.47 J
3 0
2 years ago
Three cars (car F, car G, and car H) are moving with the same velocity when the driver suddenly slams on the brakes, locking the
Nastasia [14]

Answer:

Car H

Explanation:

Frictional force is a resistant force. It is given as:

F = u*m*g

Where u = coefficient of friction

m = mass

g = acceleration due to gravity

From the formula above, we see that frictional force is dependent on the mass of object and the coefficient of friction.

Since they all have the same tires, the coefficient of friction between the tire and the floor is the same for each car. Acceleration due to gravity, g, is constant.

The only factor that determines the frictional force of each car is the mass. Hence, the more the mass, the more the frictional force.

So, the most massive car will have the most frictional force and hence, will come to a stop quicker than the others. The least massive car will have the least frictional force and so, will take a longer time to stop.

5 0
2 years ago
A closed system consisting of 2 lb of a gas undergoes a process during which the relation between pressure and volume is pVn = c
vazorg [7]

Answer:

V1=<u>2.5ft3</u>

<u>V2=1ft3</u>

n=1.51

Explanation:

PART A:

the volume of each state is obtained by multiplying the mass by the specific volume in each state

V=volume

v=especific volume

m=mass

V=mv

state 1

V1=m.v1

V1=2lb*1.25ft3/lb=<u>2.5ft3</u>

state 2

V2=m.v2

V2=2lb*0.5ft3/lb=  <u> 1ft3</u>

PART B:

since the PV ^ n is constant we can equal the equations of state 1 and state 2

P1V1^n=P2V2^n

P1/P2=(V2/V1)^n

ln(P1/P2)=n . ln (V2/V1)

n=ln(P1/P2)/ ln (V2/V1)

n=ln(15/60)/ ln (1/2.5)

n=1.51

8 0
3 years ago
Calculating heat gained or lost requires mass, specific heat , and
Leto [7]
B. relative humidity
8 0
3 years ago
For questions 1-10 fill in the blank with the letter of the description that best matches the term
tigry1 [53]
B-Pitcher C-Catcher H-Strike I-Umpire G-Strike Zone E- Foul Ball F- Ball J- Pick-off D-Error A- Shortstop. I think (Sorry for them being out of order. I had to break them down)
4 0
3 years ago
Read 2 more answers
Other questions:
  • May you help me answer this​
    8·1 answer
  • A car accelerates at a constant rate from 0 to 50 mph in three fourths min. How far does the car travel during that​ time?
    7·1 answer
  • How large is theta? Please help!!!!
    10·1 answer
  • The greater the amplitude of a wave, the greater its
    8·1 answer
  • You are a surgeon operating on a broken bone. You find a large area, swollen with blood, that surrounds the break site. What is
    12·2 answers
  • 2.0 mol of monatomic gas A initially has 5000 J of thermal energy. It interacts with 3.0 mol of monatomic gas B, which initially
    7·1 answer
  • a 5.00 kg plane is speeding up on the ground with an applied force of 706 N. If the net force is 450 N, what would be the force
    6·1 answer
  • A hurricanes energy comes from?
    5·2 answers
  • Explain how the plants of a tropical rain forest contribute to the characteristic hot, humid weather associated with the area. U
    8·1 answer
  • Como se representa un intervalo de tiempo
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!