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Molodets [167]
3 years ago
7

To test the resiliency of its bumper during low-speed collisions, a 3 690-kg automobile is driven into a brick wall. The car's b

umper behaves like a spring with a force constant 8.00 106 N/m and compresses 3.86 cm as the car is brought to rest. What was the speed of the car before impact, assuming no mechanical energy is transformed or transferred away during impact with the wall?
Physics
1 answer:
Mariana [72]3 years ago
8 0

Answer:

1.8 m/s

Explanation:

m = mass of the automobile = 3690 kg

k = force constant of the spring = 8 x 10⁶ N/m

x = compression of the spring = 3.86 cm = 0.0386 m

v = speed of the car before impact

Using conservation of energy

Kinetic energy of automobile before impact = Spring potential energy of bumpers

(0.5) m v² = (0.5) k x²

(3690) v² = (8 x 10⁶) (0.0386)²

v = 1.8 m/s

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3 years ago
Isotopes _____ at very different rates.
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Answer:

i think its decay?

Explanation:

8 0
3 years ago
Describe the difference in shape of two ice pieces
Rasek [7]
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4 0
4 years ago
An 8 kg block is pushed across a horizontal surface by a horizontally oriented force whose magnitude varies in time. The instant
Naya [18.7K]

Answer:

4.5 m

Explanation:

We are given that

Mass of block,m=8 kg

P_push(t)=(4\frac{W}{s^3})t^3

Apply work energy theorem

Wdt=d(K.E)

Where W=4t^3

Integrating on both sides

\int_{0}^{t} 4t^3dt=\int d(K.E)

K.E=t^4

v=\sqrt{\frac{2K.E}{m}}

v=\sqrt{\frac{2t^4}{8}}=\frac{t^2}{2}

\frac{ds}{dt}=\frac{t^2}{2}

ds=\frac{1}{2}t^2dt

integrating on both sides

s=\int_{0}^{t}\frac{1}{2}t^2 dt

s=\frac{1}{6}t^3

Substitute t=3 s

s=\frac{1}{6}(3)^3=4.5 m

Hence, the displacement of the block after 3 s=4.5 m

3 0
3 years ago
Blank is anything that has mass and takes up space.
Papessa [141]
Answer = Matter.

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Other solutions may be :

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i really hope this helps you a lot , have a nice day : )
3 0
3 years ago
Read 2 more answers
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