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ss7ja [257]
3 years ago
13

13. You push with 56 N on a 15-kg box, and there is a 23-N force of friction. How fast will the box accelerate?

Physics
1 answer:
Flura [38]3 years ago
4 0

Answer:

The acceleration is 2.2 m/s^2

Explanation:

In the attached image, we can see the free body diagram. And using the second law of Newton it will be possible to find the acceleration of the box.

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Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
natima [27]

The work done in stretching the spring from 50 cm to 80 cm is 67.5 J.

<h3>Hooke's Law</h3>

Hooke's law states that the force applied to an elastic material is directly proportional to its extension, provided its elastic limit is not exceeded.

To calculate the amount of work done by Hooke's law, first, we need to find the force constant of the spring.

Formula:

  • F = ke................. Equation 1

Where:

  • F = Force applied
  • k = Spring constant
  • e = extension

make k the subject of the equation

  • k = F/e................ Equation 2

From the question,

Given:

  • F = 450 N
  • e = 30 cm = 0.3 m

Substitute these values into equation 2

  • k = 450/0.3
  • k = 1500 N/m.

Finally, To find the work done in stretching the spring from 50 cm to 80 cm, we use the formula below.

  • W = ke²/2........... Equation 3

Where:

  • W = Work done
  • k = spring constant
  • e = extension

Also, From the question,

Given:

  • e = (80-50) = 30 cm = 0.3 m
  • k = 1500 N/m

Substitute these values into equation 3

  • W = 1500(0.3²)/2
  • W = 67.5 J.

Hence, The work done in stretching the spring from 50 cm to 80 cm is 67.5 J.

Learn more about Hooke's law here: brainly.com/question/12253978

5 0
2 years ago
A 300 gg bird flying along at 5.7 m/sm/s sees a 10 gg insect heading straight toward it with a speed of 29 m/sm/s (as measured b
liberstina [14]

Answer:

bird's speed  = 4.58 m/s

Explanation:

given data

mass of bird mb = 300 g

velocity of bird vb = 5.7 m/s

mass of insect mi = 10 g

velocity of insect vi = - 29 m/s

solution

here momentum of system is constant

we apply here conservation of momentum so

mb × v + mi × v = mb × vb + mi × vi   ....................1

v ( mb + mi ) = mb × vb + mi × vi  

put here value and we get

v ( 300 + 10 ) = { 300 × 5.7 }  +  { 10 × (-29) }

v = \frac{1710-290}{310}  

v = 4.58 m/s

8 0
3 years ago
How many inner shell electrons are there in Bohr model
Paha777 [63]

Answer:

10 is the correct answer

Explanation:

It is ten because the electrons that encircled the two orbit before the third orbit if the bohr model is 10. In bohr model, the electrons encircled the nucleus of an atom called orbit.

4 0
2 years ago
To maintain the same amount of torque due to a mass on a balance as the mass is increased, how should the position of the mass c
olasank [31]

Answer:

the mass should be bring closer to the point about which we are finding torque

Explanation:

τ = Σr × F = rmg

where m is the mass, g is acceleration due to gravity, and r is the distance

Torque is directly proportional to -

1.mass, m , of object

2. distance, r, of the mass from the point about which we are finding the torque.

So if we increase or decrease them then the torque will also increase or decrease.

So if we increase the mass the torque will increase but since we have to maintain same torque therefore we have to decrease the distance of mass from the point about which we are finding torque.

Therefore the mass should be bring closer to the point about which we are finding torque.

8 0
3 years ago
A 125 W motor accelerates a block along a level, frictionless surface at an average speed of 5.0
Lelu [443]

Answer:

25N

Explanation:

Given parameters:

Power of the motor = 125W

Average speed  = 5m/s

Unknown:

Force supplied to the motor = ?

Solution:

 Work done is the force applied to move a body through a particular distance;

         Work done  = Force x distance

Also,

        Work done  = Power x time

 

So;

             Force x distance = Power  x time

  since force is the unknown;

            Force  = \frac{Power x time}{distance}

         Speed  = \frac{distance }{time}

             Force  = \frac{Power}{speed}

Now solve;

                Force  = \frac{125}{5}    = 25N

3 0
3 years ago
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