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
Alex777 [14]
3 years ago
12

When a 4kg mass is hung vertically on a light spring, the spring stretches 2.5cm. A.) How far will the spring stretch if an addi

tional 1.5kg mass is hung on it? B.) If the 4 kg mass is removed, how far will the spring stretch if a 1.5 kg mass is hung on it? C.) How much work must be done on the spring to stretch the same spring 4 cm from its equilibrium position?
Physics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

Explanation:

The weight of the 4kg mass equals the force of the spring.

mg = kx

(4 kg) (9.8 m/s²) = k (0.025 m)

k = 1568 N/m

If an additional 1.5 kg is added, the spring stretches to:

(4 kg + 1.5 kg) (9.8 m/s²) = (1568 N/m) x

x = 0.034 m

x = 3.4 cm

If the 4 kg is removed, the spring stretches to:

(1.5 kg) (9.8 m/s²) = (1568 N/m) x

x = 0.0094 m

x = 0.94 cm

The work done to stretch a spring a distance x is:

E = 1/2 k x²

E = 1/2 (1568 N/m) (0.04 m)²

E = 1.3 J

You might be interested in
A 10- kilogram block is pushed across a horizontal surface with a horizontal force of 20 N against a friction force of 10 N. The
Temka [501]

Answer:

1m/s^2

Explanation:

Mass of block=10 kg

Applied horizontal force =F=20 N

Friction force=f=10 N

We have to find the acceleration of block.

Net force=Applied horizontal force-friction force

ma=F-f

Where F= Horizontal force

f=Friction force

m=Mass of object

a=Acceleration of object

10a=20-10=10

a=\frac{10}{10}=1 m/s^2

Hence, the acceleration of the block=1m/s^2

4 0
3 years ago
3.Three resistors of 25.0Ω, 30.0Ω, and 40.0Ω are in a series circuit with a 6.0-volt battery. What is the current in the circuit
AURORKA [14]

Answer:

Current = 0.063 Amperes

Explanation:

Let the three resistors be R1, R2, and R3 respectively.

Given the following data;

R1 = 25.0Ω,

R2 = 30.0Ω

R3 = 40.0Ω

Voltage = 6 Volts

First of all, we would determine the equivalent or total resistance;

Total resistance (in series) = R1 + R2 + R3

Total resistance = 25.0Ω + 30.0Ω + 40.0Ω

Total resistance = 95 Ω

Next, we find the current flowing through the circuit;

Voltage = current * resistance

Substituting into the formula, we have;

6 = current * 95

Current = 6/95

Current = 0.063 Amperes

5 0
3 years ago
A motion sensor emits sound, and detects an echo 0.0115 s after. A short time later, it again emits a sound, and hears an echo a
Mekhanik [1.2K]

Answer:

1.17 m

Explanation:

From the question,

s₁ = vt₁/2................ Equation 1

Where s₁ = distance of the reflecting object for the first echo, v = speed of the sound in air, t₁ = time to dectect the first echo.

Given: v = 343 m/s, t = 0.0115 s

Substitute into equation 1

s₁ = (343×0.0115)/2

s₁ = 1.97 m.

Similarly,

s₂ = vt₂/2.................. Equation 2

Where s₂ = distance of the reflecting object for the second echo, t₂ = Time taken to detect the second echo

Given: v = 343 m/s, t₂ = 0.0183 s

Substitute into equation 2

s₂ = (343×0.0183)/2

s₂ = 3.14 m

The distance moved by the reflecting object from s₁ to s₂ = s₂-s₁

s₂-s₁ =  (3.14-1.97) m = 1.17 m

7 0
3 years ago
Read 2 more answers
What is one disadvantage of a series circuit?
nlexa [21]

If one bulb goes out then all the others won't light up because electricity will be cut off. It's a disadvantage because in a parallel circuit if one bulb burns out all the others will still be on because they won't be affected. I hope I've helped you ☺


6 0
3 years ago
What would you do to increase resistance
ratelena [41]

Answer:

If this is electrical currents , make the wire longer, smaller diameter wires, heat it up

6 0
3 years ago
Read 2 more answers
Other questions:
  • romeo threw a small bundle toward Juliet on a balcony 10.0 m above him with a velocity of 5.0 m/s. The bundle stopped rising aft
    12·1 answer
  • Hint: This problem requires a train of logic. (1) Analyze force diagram, (2) use Newton’s Laws, and (3) solve the equations of m
    10·1 answer
  • What is the difference between 3.15 m and 2.006 m with the correct number of significant figures
    12·2 answers
  • if you place 0°c ice into 0°c water in an insulated container, what will happen? Will some ice melt, will more water freeze, or
    8·1 answer
  • A pickup truck has a width of 79.0 in. If it is traveling north at 42 m/s through a magnetic field with vertical component of
    12·1 answer
  • What is the efficiency of a 0.60 kg basketball that, one dropped from a 2.0 m height (from basket rim) , rebounds to 1.2 m in he
    5·1 answer
  • Why doesn’t a rocket in space need to use its engine to keep it moving??? Please help!
    13·2 answers
  • What is the total of a 10 ohm, 20 ohm, and 200 ohms resistors connected in a parallel
    15·1 answer
  • The table below shows the speed of sound waves from musical sound sources at 20°C. Which conclusion can be made based on the inf
    15·2 answers
  • If you run at 1.7 m/s FORWARD ,how does this affect the speed of a ball that you throw?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!