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posledela
2 years ago
10

An instrument to measure the acceleration of gravity on Mars is constructed of a spring from which is suspended a mass of 0.4 kg

. At a place on earth where the local acceleration of gravity is 9.81 m/s2 , the spring extends 1.08 cm. When the instrument package is landed on Mars, it radios the information that the spring is extended 0.40 cm. What is the Martian acceleration of gravity?
Physics
1 answer:
Diano4ka-milaya [45]2 years ago
4 0

The Martian acceleration of gravity (as measured by this jury-rigged device) is

(0.4 cm/1.08 cm) x (9.81 m/s²)

That's  <em>3.63 m/s²</em> .

Google says  3.711 m/s², so I guess that's not too bad.  

Only about 2% wrong.

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A Porsche 944 Turbo has a rated engine power of 217hp . 30% of the power is lost in the drive train, and 70% reaches the wheels.
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Explanation:

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                F_{max} = \mu_{s} \times w

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Hence, the maximum acceleration is calculated as follows.

             a_{max} = \frac{2}{3} \mu_{s} \times g

                          = \frac{2}{3} \times 1.00 \times 9.8 m/s^{2}

                          = 6.53 m/s^{2}

Hence, the maximum acceleration of the Porsche on a concrete surface where μs = 1 is 6.53 m/s^{2}.

(b)  Since, 30% of the power is lost in the drive train. So, the new power is 70% of P_{max}.

That is,   new power = 0.7 \times P_{max}

Now, the expression for power in terms of force and velocity is as follows.

                      P = F_{max} \nu

              0.7 P_{max} = ma_{max} \nu

Therefore, speed of the Porsche at maximum power output is as follows.

            \nu = 0.7 \times \frac{P_{max}}{ma_{max}}

                      = 0.7 \times \frac{217 hp \times \frac{746 W}{1 hp}}{1500 kg \times 6.53 m/s^{2}}

                      = 11.568 m/s

                      = 11.57 m/s

Therefore, speed of the Porsche at maximum power output is 11.57 m/s.

(c)   The time taken will be calculated as follows.

             time = \frac{\text{velocity}}{\text{acceleration}}

                     = \frac{11.57 m/s}{6.53 m/s^{2}}

                     = 1.77 s

Therefore, the Porsche takes 1.77 sec until it reaches the maximum power output.

6 0
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Answer:

173psig

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3.701 kilometers hope that helps
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