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
polet [3.4K]
3 years ago
12

An ice cube of mass 50.0 g can slide without friction up and down a 25.0 degree slope. The ice cube is pressed against a spring

at the bottom of the slope, compressing the spring 0.100 m . The spring constant is 25.0 N/m . When the ice cube is released, how far will it travel up the slope before reversing direction? Express your answer numerically in meters to three significant figures. d = nothing m
Physics
1 answer:
lozanna [386]3 years ago
8 0

Answer:

0.6 m

Explanation:

When a spring is compressed it stores potential energy. This energy is:

Ep = 1/2 * k * x^2

Being x the distance it compressed/stretched.

When the spring bounces the ice cube back it will transfer that energy to the cube, it will raise up the slope, reaching a high point where it will have a speed of zero and a potential energy equal to what the spring gave it.

The potential energy of the ice cube is:

Ep = m * g * h

This is vertical height and is related to the distance up the slope by:

sin(a) = h/d

h = sin(a) * d

Replacing:

Ep = m * g * sin(a) * d

Equating both potential energies:

1/2 * k * x^2 = m * g * sin(a) * d

d = (1/2 * k * x^2) / (m * g * sin(a))

d= (1/2 * 25 * 0.1^2) / (0.05 * 9.81 * sin(25)) = 0.6 m

You might be interested in
A bridge is supported by two piers located 14 meters apart. Both the left and right piers provide an upward force on the bridge,
almond37 [142]

Answer:

4375 N, 7875 N

Explanation:

since the body is equilibrium

total upward force = total downward force

w weight of the bridge = FL + FR

when the car was introduced,

total downward force = total upward force

FL₁ + FR₁ = w + (m × acceleration due to gravity) with w = FL + FR

then FL₁ + FR₁  = FL + FR + Mcg

FL₁ + FR₁  - FL - FR = Mcg

ΔFL + ΔFR = 1250 × 9.8 = 12250 N

taken the left as the pivot point and using the principle of moment

ΔFR × 14 m = 12250 N × 5 m + (ΔFL × 0 m) since the left is the pivot point.

ΔFR = 61250 / 14 = 4375 N

but

ΔFL + ΔFR = 12250 N

ΔFL = 12250 - 4375 = 7875 N

5 0
3 years ago
A light beam which is amplified into a strong concetrated beam of light is known as A) a laser. B) a transistor. C) a microwave
murzikaleks [220]

The correct answer is A. a <em>Laser</em>.

4 0
3 years ago
Read 2 more answers
A 2 kg block slides on a rough horizontal surface with muk=0.6. It has an initial velocity of 5 m/s. Use g = 10 m/s2
Irina18 [472]

Answer:

360000

Explanation:

4 0
3 years ago
You have two balls of equal size and smoothness, and you can ignore air resistance. One is heavy, the other is much lighter. You
motikmotik

Answer:

They will hit the ground at the same time.

Explanation:

By ignoring the opposing forces i.e. air resistant, both the heavy and light balls will fall with same acceleration due to gravity (g=9.8 m/s²) and g is independent of mass of the objects. Thus both will hit the ground at the same time.

4 0
3 years ago
In a certain process, the energy change of the system is 250 \rm kJ. The process involves 480 \rm kJ of work done by the system.
alisha [4.7K]

Answer:

\Delta Q=-230kJ

Explanation:

Using the first law of thermodynamics:

\Delta U=\Delta Q-W

Where \Delta U is the change in the internal energy of the system, in this case  \Delta U=250kJ, \Delta Q is the heat tranferred, and W is the work,  W=-480kJ with a negative sign since the work is done by the system.

From the previous equation we solve for heat, because it is the unknown variable in this problem

\Delta Q=\Delta U +W

And replacing the known values:

\Delta Q=250kJ +(-480kJ)

\Delta Q=250kJ -480kJ

\Delta Q=-230kJ

The negative sign shows us that the heat is tranferred from the system into the surroundings.

3 0
3 years ago
Other questions:
  • Why is the gravitational potential energy of an object 1 meter above the moons surface less than its potential energy 1meter abo
    9·1 answer
  • The nucleus of an atom consists of protons and neutrons (no electrons). A nucleus of a carbon‑12 isotope contains six protons an
    10·1 answer
  • The force you have to overcome to start an object moving is _____
    8·1 answer
  • List and define 4-5 waste materials from copper ore processing
    10·1 answer
  • A tetherball is tied to the end of a string of negligible mass. The ball is struck so that it moves in uniform circular motion i
    12·2 answers
  • What atoms should be in the products of the chemical reaction?
    12·2 answers
  • When a permanent magnet picks up an iron nail, the nail also becomes a magnet. How does the magnetized nail differ from an elect
    11·1 answer
  • Mrs Harper has a cup full of paper clips some are made of metal and others are made of plastic she wants to separate the metal p
    12·1 answer
  • 2. Think about an activity you may have learned that involves muscle memory. Consider when you first learned the activity, how e
    15·1 answer
  • Energy is the capacity to do work or
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!