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Anton [14]
3 years ago
9

Heater supplies 80 J of energy to a block of metal. The temperature of the block rises by 20 °C.

Physics
1 answer:
Grace [21]3 years ago
5 0

Answer:

Its internal energy decreases by 40 J.

Explanation:

The energy supplied to the metal block causes the temperature of the block to rise. Therefore,

Heat\ Supplied = mC\Delta T\\80\ J = mC(20^oC)\\mC = 4\ J/^oC\\

Now, we will use this value of mC to find out the energy change of block:

Energy\ Change = mC\Delta T\\Energy\ Change = (4\ J/^oC)(-10^oC)\\Energy\ Change = -40J\\

It shows that when the temperature of the metal block falls by 10°C,

<u>Its internal energy decreases by 40 J.</u>

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Answer:

1.628 \frac{m}{sec^{2} }

Explanation:

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In this case

Neil is initially on the surface of moon and has a velocity of 1.51 \frac{m}{sec} in upward direction.

⇒He has Kinetic energy= K_{i} = \frac{1}{2} m{v^{2} } J

But with respect to the surface of the moon,

where m=mass of moon

           v=velocity of Neil

He has Potential energy= P_{i}=0 J

At the highest point of his jump, his velocity =0

⇒ Kinetic energy=K_{f}=0 J

His Potential energy with respect to the surface of moon=P_{f}=m \times g\times h

where m=mass of moon

           g= gravitational acceleration on moon

           h=height from moon's surface

By Conservation Energy Principle

K_{i}+P_{i}=K_{f}+P_{f}

K_{i}+0=0+P_{f}

\frac{1}{2} m{v^{2} } = m \times g\times h

\frac{v^{2} }{2} =  g\times h

\frac{1.5^{2} }{2} J= g\times 0.7 m

⇒ g = \frac{1.14}{0.7} = 1.628 \frac{m}{sec^{2} }

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Answer:

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A steel plate weighing 180 lb with center of gravity at point G is supported by a roller at point A, a bar DE, and a horizontal
melamori03 [73]

Answer:

Therefore, the force supported  by the hydraulic cylinder is = -70.01 lb

Thus, the force supported by the bar = -233.84 lb

The reaction force supported by the reaction of the roller = 341.31 lb

Explanation:

The attached diagrams is shown in the file below:

From there; taking moments about point A

\sum M__A }=0

- 40 (180) - (80) F_E Cos 37° + 55  

-7200 + F_E (-80 Cos 37° + 55 sin 37° ) = 0

= - 7200 - 30.79  F_E

- 30.79  F_E = 7200

F_E = -\frac{7200}{30.79}

F_E  = -233.84 lb

Thus, the force supported by the bar = -233.84 lb

Taking the equilibrium of forces in the vertical direction

\sum f_y = 0

F_E sin 37 + F_A cos 20 - F_G = 0

- 233.84 sin 37 + F_A cos 20 - 180 = 0

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F_A = \frac{320.73}{cos 20}

F_A = 341.31 lb

The reaction force supported by the reaction of the roller = 341.31 lb

Taking the equilibrium of forces on the horizontal direction.

\sum f_y = 0

F_E cos 37 - F_{CB} + F_A sin 20° = 0

-233.84 cos 37 - F_{CB} + 341.31 sin 20° = 0  

-186.75 -  F_{CB} + 116.74 = 0

-  F_{CB} -70.01 = 0

-  F_{CB} = 70.01

F_{CB} = - 70.01 lb

Therefore, the force supported  by the hydraulic cylinder is = -70.01 lb

7 0
4 years ago
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