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xeze [42]
3 years ago
10

A 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps grain directly down into the freight ca

r. If the speed of the loaded freight car must not go below 3.0 m/s, what is the maximum mass of grain that it can accept?
Physics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

933. 3kg

Explanation:

We are given that

Mass,m=2000 kg

Initial speed,u=4.4 m/s

We have to find the maximum mass of grain if the speed of loaded freight car must not go below 3.0 m/s.

Final speed,v=3 m/s

By conservation of momentum

Initial momentum=Final momentum

mu=m'v

Substitute the values

2000\times 4.4=m'(3)

m'=\frac{2000\times 4.4}{3}

m'=2.93\times 10^3 kg

Mass of freight loaded car=2933.3 kg

Mass of grains=2933.3-2000=933.3 kg

Hence, the maximum  mass of grains that it can accept=933.3 kg

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You're driving down the highway late one night at 21 m/s when a deer steps onto the road 35 m in front of you. Your reaction tim
andreev551 [17]

Speed with which initially car is moving is 21 m/s

Reaction time = 0.50 s

distance traveled in the reaction time d = v t

d = 21 * 0.50 = 10.5 m

deceleration after this time = -10 m/s^2

now the distance traveled by the car after applying bakes

v_f^2 - v_i^2 = 2a d

0 - 21^2 = 2(-10)d

d = 22.05 m

so total distance moved before it stop

d = 22.05 + 10.5 = 32.55 m

so the distance from deer is 35 - 32.55 = 2.45 m

now to find the maximum speed with we can move we will assume that we will just touch the deer when we stop

so our distance after brakes are applied is d = 35 - 10.5 = 24.5 m

again by kinematics

v_f^2 - v_i^2 = 2 ad

0 - v^2 = 2(-10)(24.5)

v = 22.1 m/s

so maximum speed would be 22.1 m/s

5 0
3 years ago
Is a 3D parallel flow necessarily irrotational?
satela [25.4K]

Answer:

No

Explanation:

We know that

Rationality in 3D flow is given as follows

\omega =\omega _xi+\omega _yj+\omega _zk

If ω is equal to zero then flow will be irrotational and if ω is not equal to zero then flow will be rotational .

So if flow is ir-rotational it means that the component of ω in x-direction,in y-direction and in z-direction direction should be zero.

So it is not necessarily that 3D parallel flow will be irrotaional.

3 0
3 years ago
A person with a weight of 956 N runs up a 2.41 m staircase. If it takes 4.17 seconds to reach the top, how much power was genera
Solnce55 [7]

Answer: 552.5 watts

Explanation:

Given that,

Weight of man = 956 N

Height (h) = 2.41 m

Time taken (t) = 4.17 seconds

Power = ?

Recall that power is the rate of work done per unit time i.e Power = work/time

Thus, power = (mgh) / t

(Since weight = mass x acceleration due to gravity)

Power = (weight x height)/ time

Power = (956N x 2.41 m) / 4.17s

Power = 2303.96/4.17

Power = 552.5 watts

Thus, 552.5 watts of power is generated.

6 0
3 years ago
A 75 kg refrigerator is located on the 70th floor of skyscraper (300 meters above ground). What is the potential energy of the r
Anna71 [15]

Answer:

220,500 Joules

Explanation:

PE = (75 kg) x (9.8 m/s^{2}) x (300 m)

PE = (735) x (300)

PE = 220,500 Joules

6 0
3 years ago
Read 2 more answers
What is the shallowest part of the ocean ecosystem is called
bearhunter [10]

Answer:

intertidal zone.

the shallowest part of the ocean ecosystem, where the ocean floor os covered and uncovered as the tide goes in and out. Plankton. the organisms that float on the water in aquatic ecosystems and are unable to swim.

7 0
3 years ago
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