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klemol [59]
3 years ago
12

I takes you 42 minutes to travel 32 miles to Ann Arbor. What was your speed getting there?

Physics
1 answer:
frez [133]3 years ago
3 0

Answer: 45.71 mi/h

Explanation:

Speed S is defined a:

S=\frac{d}{t}

Where:

d=32 miles is the traveled distance

t=42 min \frac{1 h}{60 min}=0.7 h is the time

Solving:

S=\frac{32 miles}{0.7 h}

S=45.71 mi/h This is the speed

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If a roller coaster car had 40,000 J of gravitational potential energy when at rest on the top of a hill how much kinetic energy
Inessa [10]

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K.E = 30,000 J

Explanation:

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The potential energy of the roller coaster car, P.E = 40000 J

The kinetic energy at height h/4, K.E = ?

According to the law of conservation of energy, the total energy of the system is conserved.

At height 'h', the total energy is,

                                    P.E = mgh

                                     K.E = 0

At height 'h/4', the total energy is

                                     P.E + K.E = mgh

                                     P.E = mgh/4

                                     K.E = 1/2 mv²

Therefore,

                                   mgh/4 + 1/2 mv² = mgh

                                    gh/4 + v²/2 = gh

Hence,

                                      v² = 3gh/2

Substituting in the K.E equation

                               K.E = 1/2 mv²

                                      = 1/2 m (3gh/2)

                                       = 3/4 mgh

                                        = 3/4 x 40000

                                         = 30000 J

Hence, the K.E of the roller coaster car is, K.E = 30000 J

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