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Strike441 [17]
2 years ago
12

A block with a mass of 6.0 kg is

Physics
1 answer:
Umnica [9.8K]2 years ago
5 0

(a) The normal force on the block is 50.92 N.

(b) The horizontal force on block keeping it in equilibrium is 29.4 N.

The given parameters;

  • <em>mass of the block, m = 6 kg</em>
  • <em>angle of inclination, θ = 30.0°</em>

The normal force on the block is calculated as follows;

F_n = W \times cos(\theta)

where;

  • <em>W is the weight of the block</em>

F_n = mg \times cos(\theta)\\\\F_n = 6 \times 9.8 \times cos(30)\\\\F_n = 50 .92 \ N

The horizontal force on block keeping it in equilibrium is calculated as follows;

F- F_x = 0\\\\F-mgsin\theta= 0\\\\F = mgsin\theta\\\\F = 6 \times 9.8 \times sin(30)\\\\F = 29.4 \ N

Learn more here:brainly.com/question/24860178

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3 years ago
A dart is loaded into a spring-loaded toy dart gun by pushing the spring in by a 
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Answer:

W'=\dfrac{W}{9}

Explanation:

The potential energy of the spring or the work done by the spring is given by :

W=\dfrac{1}{2}kd^2............(1)

k is the spring constant

d is the compression

When the spring is compressed a distance d' = d/3, let W' is the work is required to load the second dart. Then the work done is given by :

W'=\dfrac{1}{2}kd'^2

W'=\dfrac{1}{2}k(d/3)^2.............(2)

Dividing equation (1) and (2) :

\dfrac{W}{W'}=\dfrac{1/2kd^2}{1/2k(d/3)^2}

\dfrac{W}{W'}=9

W'=\dfrac{W}{9}

So, the work required  to load the second dart compared to that required to load the first is one-Ninth as much. Therefore, the correct option is (E).

7 0
3 years ago
A 10-kg object is dropped from rest. after falling a distance of 50 m, it has a speed of 26 m/s. what is the change in mechanica
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The change in mechanical energy caused by the dissipative resistance force is equal to, difference between the potential energy and kinetic energy of the object.

Potential energy of the object, P.E = mgh

m is mass of the object = 10 kg

g is acceleration due to gravity = 9.8 m/s²

h= height from which it is dropped =50 m

Substituting the value we get,

P.E = 10×9.8×50 = 4900 J

Kinetic energy of the object, K.E = \frac{1}{2}mv^{2}

v is the velocity of the object = 26 m/s²

K.E = (1/2)×10×(26)²

= 3380 J

Change in mechanical energy caused by dissipative force = P.E ₋ K.E

= 4900 ₋ 3380 = 1520 J

4 0
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Research indicates that an all have the same capacity for language as humans. true or false
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