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svetoff [14.1K]
4 years ago
7

Two children weighing 17 and 25 kilograms are sitting on opposite sides of a seesaw, both 2 meters from the axis of rotation. wh

ere on the seesaw should a 10-kilogram child sit in order to achieve equilibrium?
Physics
1 answer:
Over [174]4 years ago
8 0
The principle of moments states that for a system at equilibrium the clockwise moments is equal to the anticlockwise moments.
Moments is given by force × perpendicular distance
Moments one one side of the seesaw will be 340Nm and on the other will be 500Nm, for balanced or equilibrium to be achieved the two moments should be equal.
Difference is 160 Nm, thus with a child 10 kg to balance the system, then,
Distance will be 16 nm/ 100N = 1.6 m
Threfore, a child of 10 kg should sit at a  distance of 1.6m from the pivot on the side with 17 kg child for the system to balance.
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Determine the kinetic energy of 650 kg roller coaster car that is moving with a speed of 20.0 miles per second?
mestny [16]

Answer:Ek=673.109 kJ

Explanation:

Use equation for Kinetic energy: Ek=m*V²/2

m=650 kg (mass of roller coaster)

V=20.0Miles/s=20.0*1.609m/s=32.18m/s

Ek=m*V²/2

Ek=650kg*(32.18m/s)²

Ek=(650kg*1053.55m²/s²)/2

Ek=673 108.8 J

Ek=673.109 kJ

4 0
3 years ago
0.3-L glass of water at 20C is to be cooled with ice to 5C. Determine how much ice needs to be added to the water, in grams, i
abruzzese [7]

Answer:

a. m_i_c_e=54.6g\\b. m_i_c_e=48.7g\\m_c_o_l_d_w_a_t_e_r=900g

Explanation:

First we need to state our assumptions:

Thermal properties of ice and water are constant, heat transfer to the glass is negligible, Heat of ice h_i_f=333.7KJkg

Mass of water,m_w=\rho V =1\times0.3=0.3Kg.

Energy balance for the ice-water system is defined as

E_i_n-E_o_u_t=\bigtriangleup E_s_y_s\\0=\bigtriangleup U=\bigtriangleup U_i_c_e+\bigtriangleup U_w

a.The mass of ice at 0\textdegree C is defined as:

[mc(0-T_1)+mh_i_f+mc(T_2-0)]_i_c_e+[mc(T_2-T_1)]_w=0\\\\m_i_c_e[0+333.7+418\times(5-0)]+0.3\times4.18\times(5-20)=0\\m_i_c_e=0.0546Kg=54.6g

b.Mass of ice at 20\textdegree C is defined as:

[mc(0-T_1)+mh_i_f+mc(T_2-0)]_i_c_e+[mc(T_2-T_1)]_w=0\\\\m_i_c_e[2.11\times(0-(20))+333.7+4.18\times(5-0)]+0.3\times4.18\times(5-20)=0\\\\m_i_c_e=0.0487Kg=48.7g

c.Mass of cooled water at T_c_w=0\textdegree C

\bigtriangleup U_c_w+\bigtriangleup U_w=0

[mc(T_2-T_1)]_c_w+[mc(T_2-T_1)]_w=0\\m_c_w\times4.18\times(5-0)+0.3\times4.18\times(5-20)\\m_c_w=0.9kg=900g

8 0
3 years ago
Answer the following questions regarding the equation:
scoundrel [369]

Explanation:

1) This is a synthesis reaction (two or more reactants combine to form a single product).

2) The coefficients are added to balance the reaction.

3) Adding the states of matter (solid, liquid, gas) will make the reaction more precise.

5 0
4 years ago
Show that liquid pressure is directly<br>proportional to height of liquid in a vessel.​
Norma-Jean [14]

Answer:

P=F/A where F is the weight of the water and A is the area on which it is resting. The weight of the water is mg. The mass of the water is dv where d is the density and v is the volume. Finally, the volume of the water in a vessel is equal to the area of the base of the vessel times the height of the vessel. (v=Ah)

Plugging everything in we get:

P = dAhg/A

So

P=dhg

So we have shown that liquid pressure is directly  proportional to height of liquid in a vessel.​

7 0
3 years ago
This is a type of friction experienced within liquids and gases. It depends on:__________.
Aleksandr-060686 [28]

Answer:

(1) how thick the fluid is <u>viscosity</u>

Explanation:

This is a type of friction experienced within liquids and gases. It depends on:__________.

(1) how thick the fluid is_______?

(2) how the shape of the object?

(3) how the speed of the object?

the thickness of a fluid is known as viscosity. the more viscous a fluid is the more frictional force is exerted on an object by the fluid

frictional force is an opposing force that resist the movement of two surfaces in contact, there are to types 0f frictional force

1. static frictional force

2. dynamic frictional force

4 0
3 years ago
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