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tresset_1 [31]
3 years ago
8

You, a 70 kg person, leap from a 10 m tall building and land feet first on a trampoline. The center of the trampoline where you

land sinks a total of 0.5 m before springing you back into the air. What is the spring constant for the trampoline?
Physics
1 answer:
Anon25 [30]3 years ago
4 0

Answer:

1373.4 N/m

Explanation:

Hooke's law states that the extension of a spring and force are related by the expression, F=kx where k is spring constant, x is extension of spring and F is the applied force. Making k the subject of the formula then

k=\frac {F}{x}

Also, F=gm hence the above formula is modified as

k=\frac {gm}{x}

Taking g as 9.81 m/s2 , x as 0.5 m and m as 70 kg then

k=\frac {9.81\times 70 kg}{0.5m}=1373.4 N/m

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The name of a sedimentary rock is usually based on:
tigry1 [53]

Answer:

C

Explanation:

The name of the rock is usually derived from the sediment grain size.

4 0
3 years ago
You have a rock sample and analyze it for the presence of radioactive isotopes in order to determine when it was formed. You fin
Firdavs [7]

Answer:

the decay of half of the nuclei only a half-life has passed ,  b) in rock time it is 1 108 years

Explanation:

The radioactive decay is given by

         N = N₀ e^{\lambda t}

If half of the atoms have decayed

       ½ N₀ = N₀ e^{\lambda t}

       ½ = e^{\lambda t} ₀

       Ln 0.5 = - λ t

       t = - ln 0.5 /λ

The definition of average life time is

      T_{1/2}= ln 2 / λ

       λ = ln 2 /  T_{1/2}

       λ = 0.693 / 100 10⁶

       λ = 0.693 10⁻⁸ years

We replace

       t = -ln 0.5 / 0.693 10⁻⁸

       t = 10⁸ years

We see that for the decay of half of the nuclei only a half-life has passed

b) in rock time it is 1 108 years

8 0
3 years ago
Theo mixes cake batter and places it in the oven at 350°F for 45 minutes. Explain what type of reaction baking a cake represents
Nataly_w [17]

Baking a cake creates a endothermic reaction. When heated, the baking soda/powder reacts, the eggs change form, and everything else follows suit. The baking soda/powder creates the rising of the cake.

4 0
3 years ago
Read 2 more answers
A distant galaxy has a redshift z = 5.82 and a recessional velocity vr = 287,000 km/s (about 96% of the speed of light.) Notice
vlabodo [156]

Answer: 4100 Mpc

Explanation:

Since H o = 70 km/s/Mpc

Redshift z = 5.82

Recessional velocity vr = 287,000 km/s

Then, the distance to the galaxy in light years will be:

= Recessional velocity / H o

= 287000 / 70

= 4100 Mpc

7 0
3 years ago
peach pie in a 9.00 in diameter plate is placed upon a rotating tray. Then, the tray is rotated such that the rim of the pie pla
zavuch27 [327]

Explanation:

It is given that,

Diameter of the peach pie, d = 9 inches

Radius of the pie, r = 4.5 inches

The tray is rotated such that the rim of the pie plate moves through a distance of 183 inches, d = 183 inches

Let \theta is the angular distance that the pie plate has moved through.

It is given by :

\theta=\dfrac{d}{r}

\theta=\dfrac{183}{4.5}  

\theta=40.66\ radian

Since, 1 radian = 57.29 degrees

\theta=2329.64\ degrees

Since, 1 radian = 0.159155 revolution

\theta=6.47124\ revolution

Hence, this is the required solution.

5 0
3 years ago
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