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
svp [43]
3 years ago
15

A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. It ta

kes 3.7 J of work to compress the spring by 0.20 m . If the spring is compressed, and the mass is released from rest, it experiences a maximum acceleration of 12 m/s2 . Find the value of
(a) the spring constant and
(b) the mass.
Physics
2 answers:
bogdanovich [222]3 years ago
4 0

Answer:

(a) the spring constant is 185 N/m

(b) the mass is 3.083 kg

Explanation:

Given;

work done in compressing the spring, W = 3.7 J

extension of the spring, x = 0.20 m

acceleration of the spring, a =  12 m/s²

Part (a) the spring constant

W = ¹/₂kx²

where;

w is work done

k is the spring constant

x is the extension of the spring

k = 2W / x²

k = ( 2 x 3.7) / (0.2²)

k = 185 N/m

Part (b) the mass

From Newton's second law of motion;

F = ma

Also from Hook's law;

F = kx

Equate the two laws;

ma = kx

m = kx / a

m = (185 x 0.2) / (12)

m = 3.083 kg

Tomtit [17]3 years ago
3 0

Answer:

(a) 185 N/m

(b) 3.083 kg

Explanation:

(a)

Using,

E = 1/2ke²....................... Equation 1

Where E = work done to compress the spring, k = spring constant of the spring, e = compression of the spring.

make k the subject of the equation

k = 2E/e²............... Equation 2

Given: E = 3.7 J, e = 0.20 m

Substitute into equation 2

k = 2(3.7)/0.2²

k = 185 N/m.

(b)

Using,

F = ma.............. Equation 2

Where F = force applied to the spring, m = mass attached to the spring, a = acceleration of the spring.

But from hook's law,

F = ke................. Equation 3

substitute equation 3 into equation 2

ke = ma

make m the subject of the equation

m = ke/a................ Equation 4

Given: k = 185 N/m, e = 0.2 m, a = 12 m/s²

Substitute into equation 4

m = 185(0.2)/12

m = 3.083 kg

You might be interested in
A bullet is shot horizontally from shoulder height (1.5 m) with an initial speed 200 m/s. (a) How much time elapses before the b
daser333 [38]

Answer:

<h2>a) Time elapsed before the bullet hits the ground is 0.553 seconds.</h2><h2>b) The bullet travels horizontally 110.6 m</h2>

Explanation:

a)  Consider the vertical motion of bullet

We have equation of motion s = ut + 0.5 at²

        Initial velocity, u = 0 m/s

        Acceleration, a = 9.81 m/s²  

        Displacement, s = 1.5 m      

     Substituting

                      s = ut + 0.5 at²

                      1.5 = 0 x t + 0.5 x 9.81 xt²

                      t = 0.553 s

      Time elapsed before the bullet hits the ground is 0.553 seconds.

b) Consider the horizontal motion of bullet

We have equation of motion s = ut + 0.5 at²

        Initial velocity, u = 200 m/s

        Acceleration, a = 0 m/s²  

        Time, t = 0.553 s      

     Substituting

                      s = ut + 0.5 at²

                      s = 200 x 0.553 + 0.5 x 0 x 0.553²

                      s = 110.6 m

      The bullet travels horizontally 110.6 m

6 0
3 years ago
What happens to air as it warms ,expands and become less dense
AleksandrR [38]
Air expands as it warms. Therefore warm air is less dense than cool air. The warm air from the first floor apartments rises to the second floor. People on the second floor require less heating to keep their <span>apartments comfortable.
-Hope this helps </span>
6 0
3 years ago
A force acts on a body of mass 13 kg initially at rest. The force
PtichkaEL [24]

Answer:

Force that acted on the body was F = 13 N

Explanation:

If once accelerated, the body covers 60 meters in 6 seconds, then its velocity is 60/6 m/s = 10 m/s

When the force was acting (for 10 seconds) the object accelerated from rest (initial velocity vi = 0) to 10 m/s (its final velocity). therefore we can use the kinematic equation for the velocity in an accelerated motion given by:

v_f=v_i+a*t

which in our case becomes;

10\,m/s=0+a*(10\,s)

and we can solve for the acceleration as:

a = 10/10  m/s^2 = 1 m/s^2

Therefore the force acting on the body, based on Newton's 2nd Law expression: F = m * a is:

F = 13 kg * 1 m/s^2 = 13 N

4 0
3 years ago
If a proton were released in the electric field above, what direction would it move?
Afina-wow [57]

Answer:

d because the proton would move towards the negative plate

Explanation:

5 0
3 years ago
A weightlifter is attempting a biceps curl with a 200 n barbell. the moment arm of the barbell about the elbow joint is 40 cm. t
CaHeK987 [17]
Weight of the barbell W = 200 Ndistance of the joint is r = 40 cm = 0.4 mtorque created by the weight at the joint is                  τ = F*r                     = 200 N*0.4 m                     = 80 N.mat equilibrium condition ,    Στ = force*distance - 80 N.m = 0             F'*0.4 - 80 N.m = 0             F'*0.4 = 80          force F' = 200 N
4 0
3 years ago
Other questions:
  • Platinum has a density of 21 g/cm3. a platinum ring is placed in a graduated cylinder that contains water. the water level rises
    13·2 answers
  • Why evaporation are called surface phenomenon?
    11·2 answers
  • A hot spot is an area where material from deep within the mantle rises and melts through the crust above it. True or false need
    9·2 answers
  • A 12 oz can of soda is left in a car on a hot day. In the morning the soda temperature was 60oF with a gauge pressure of 40 psi.
    14·1 answer
  • A bottle of a certain type of salad dressing can be considered to be a mixture of olive oil and vinegar. The oil has a density o
    14·1 answer
  • T object]user: if you have a diagnostic x-ray, then you have been:
    11·2 answers
  • 10. At point A, a runner is jogging 5 m/s. Forty seconds later, at point B
    13·1 answer
  • A person pushes a 50kg box to the right with 100N of force at a constant velocity of 5m/s. Calculate the coefficient of friction
    14·1 answer
  • A tank has the shape of an inverted circular cone with height 16m and base radius 3m. The tank is filled with water to a height
    9·1 answer
  • A scientist adds different amounts of salt to 5 bottles of water. She then measures how long it takes for the water to boil. Wha
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!