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vredina [299]
3 years ago
13

A 2,700-kg truck runs into the rear of a 1,000-kg car that was stationary. The truck and car are locked together after the colli

sion and move with speed 3 m/s. Compute how much kinetic energy was "lost" in this inelastic collision.
Physics
1 answer:
Leto [7]3 years ago
3 0

Answer:

6200 J

Explanation:

Momentum is conserved.

m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂

The car is initially stationary.  The truck and car stick together after the collision, so they have the same final velocity.  Therefore:

m₁ u₁ = (m₁ + m₂) v

Solving for the truck's initial velocity:

(2700 kg) u = (2700 kg + 1000 kg) (3 m/s)

u = 4.11 m/s

The change in kinetic energy is therefore:

ΔKE = ½ (m₁ + m₂) v² − ½ m₁ u²

ΔKE = ½ (2700 kg + 1000 kg) (3 m/s)² − ½ (2700 kg) (4.11 m/s)²

ΔKE = -6200 J

6200 J of kinetic energy is "lost".

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A person kicks a ball off of a 50m high cliff with a speed of 10 m/s. How long will it take the ball to hit the ground? * 7 poin
Musya8 [376]

Presumably, the ball is kicked parallel to the ground below the cliff, so its altitude <em>y</em> at time <em>t</em> is

y(t)=50\,\mathrm m-\dfrac12gt^2

where <em>g</em> = 9.80 m/s^2 is the acceleration due to gravity.

The ball hits the ground when <em>y</em> = 0:

0 = 50\,\mathrm m-\dfrac12gt^2

t^2=\dfrac{100\,\mathrm m}g

t=\dfrac{10}{9.80}\,\mathrm s\approx\boxed{3.2\,\mathrm s}

6 0
3 years ago
Many species cool themselves by sweating, because as the sweat evaporates, heat is transferred to the surroundings. A human exer
max2010maxim [7]

Answer:

70713

Explanation:

Because you need to multiply the amount of water lost (2430) by the time (29.1) which will equal 70713J/g needed to counter the loss.

Hope this helps:)

4 0
2 years ago
A skater of mass 60 kg has an initial velocity of 12 m/s. He slides on ice where the frictional force is 36 N. How far will the
Alexus [3.1K]

Answer:

d = 120 [m]

Explanation:

In order to solve this problem, we must use the theorem of work and energy conservation. Where the energy in the final state (when the skater stops) is equal to the sum of the mechanical energy in the initial state plus the work done on the skater in the initial state.

The mechanical energy is equal to the sum of the potential energy plus the kinetic energy.  As the track is horizontal there is no unevenness, in this way, there is no potential energy.

E₁ + W₁₋₂ = E₂

where:

E₁  = mechanical energy in the initial state [J] (units of Joules)

W₁₋₂ = work done between the states 1 and 2 [J]

E₂  = mechanical energy in the final state = 0

E₁ = Ek = kinetic energy [J]

E₁ = 0.5*m*v²

where:

m = mass = 60 [kg]

v = initial velocity = 12 [m/s]

Now, the work done is given by the product of the friction force by the distance. In this case, the work is negative because the friction force is acting in opposite direction to the movement of the skater.

W₁₋₂ = -f*d

where:

f = friction force = 36 [N]

d = distance [m]

Now we have:

0.5*m*v² - (f*d) = 0

0.5*60*(12)² - (36*d) = 0

4320 = 36*d

d = 120 [m]

7 0
2 years ago
Mass wasting is also commonly triggered by the vibrational waves associated with earthquakes. Explain how earthquakes can disrup
Law Incorporation [45]

Answer:

The vibrations will put the particles into suspension reducing the frictional forces between them.

Explanation:

The downslope movement of surface material under the direct influence of gravity is called "Mass Wasting." Mass wasting plays a vital role in transferring the products of weathering from their original sites to lower-lying places where the agents of erosion can pick them up for transporting a longer distance.

There are 2 main types of mass wasting;

1. rapid mass movements

2. slow mass movements.

Shearing of soil grains from S-waves rounds jagged corners reducing frictional resistance. Also, Shaking from the seismic waves increases the water content of the material.

Mass movements are part of a continuum of erosional processes between weathering and stream transport. Mass movement causes regolith and rock to move down-slope where sooner or later the loose particles will be picked up by another transporting agent and eventually moved to a site of deposition such as an ocean basin or lake bed.

Mass movement processes are occurring continuously on all slopes; some act very slowly, others occur very suddenly, often with disastrous.

How earthquake cause mass movement

1. Earthquake causes vibrations and this will put the particles into suspension reducing the frictional forces between them.

2. It also cause the shaking from the seismic waves increases the water content of the material.

5 0
3 years ago
(NEED HELP ASAP)
Mice21 [21]

Answer:

a = 0.98J

Explanation:

PE = mgh

PE = 0.1 x 9.8 x 1

PE = 0.98J

6 0
2 years ago
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