Answer:
The pressure exerted by the girl is 245,000 N/m²
Explanation:
Given;
mass of the girl, m = 50 kg
area of the girl's shoe, A = 0.002 m²
The pressure exerted by the girl is calculated as follows;

Therefore, the pressure exerted by the girl is 245,000 N/m²
The specific heat of the metal, assuming no heat is exchanged with the surroundings is 2140 J/(kg•K).
<h3>
Specific heat capacity of the metal</h3>
The specific heat capacity of the metal is determined from the principle of conservation of energy.
energy lost by the metal = energy gained by aluminum + energy gained by water
Q = mcΔθ
where;
- m is mass (kg)
- c is specific heat capacity
- Δθ is change in temperature
0.425c(100 - 40) = 0.1(900)(40 - 15) + 0.5(4186)(40 - 15)
25.5c = 2250 + 52,325
c = 54,575/25.5
c = 2140 J/(kg•K)
Learn more about specific heat capacity here: brainly.com/question/21406849
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Answer:
The mass of the solid cylinder is 
Explanation:
From the question we are told that
The radius of the grinding wheel is 
The tangential force is 
The angular acceleration is 
The torque experienced by the wheel is mathematically represented as

Where I is the moment of inertia
The torque experienced by the wheel can also be mathematically represented as

substituting values


So


So

This moment of inertia can be mathematically evaluated as

substituting values

=> 
The force of gravity most likely
Answer:
The moment (torque) is given by the following equation:
![\vec{\tau} = \vec{r} \times \vec{F}\\\vec{r} \times \vec{F} = \left[\begin{array}{ccc}\^{i}&\^j&\^k\\r_x&r_y&r_z\\F_x&F_y&F_z\end{array}\right] = \left[\begin{array}{ccc}\^{i}&\^j&\3k\\0.23&0.04&0\\150&260&0\end{array}\right] = \^k((0.23*260) - (0.04*150)) = \^k (53.8~Nm)](https://tex.z-dn.net/?f=%5Cvec%7B%5Ctau%7D%20%3D%20%5Cvec%7Br%7D%20%5Ctimes%20%5Cvec%7BF%7D%5C%5C%5Cvec%7Br%7D%20%5Ctimes%20%5Cvec%7BF%7D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5C%5E%7Bi%7D%26%5C%5Ej%26%5C%5Ek%5C%5Cr_x%26r_y%26r_z%5C%5CF_x%26F_y%26F_z%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5C%5E%7Bi%7D%26%5C%5Ej%26%5C3k%5C%5C0.23%260.04%260%5C%5C150%26260%260%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5C%5Ek%28%280.23%2A260%29%20-%20%280.04%2A150%29%29%20%3D%20%5C%5Ek%20%2853.8~Nm%29)
Explanation:
The cross-product between the distance and the force can be calculated using the method of determinant. Since the z-components are zero, it is easy to calculate.