Physics, 16.11.2019 01:31 dezmondpowell

Afreight car with a mass of 10 metric tons is rolling at 108 km/h along a level track when it collides with another freight car, which is initially at rest. if the speed of the cars after they couple together is 36 km/h, what is the mass of the second car?
question options:

40 metric tons

20 metric tons

10 metric tons

5 metric tons (incorrect answer)

Answers: 1

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Answer from: daebreonnakelly

m = 20 metric ton

Explanation:

Given,

The mass of the freight car, M = 10,000 kg

The velocity of the car before the collision, U = 105 km/h

The mass of another freight car, m = ?

The velocity of another freight car before the collision, u = 0 km/h

The velocity of the coupled car after the collision, V = 36 km/h

According to the conservation of momentum

MU + mu = MV + mV

mV = MU - MV ∵ mu = 0

m = M(U - V)/V

= 10,000 (108 - 36) / 36

= 20,000 kg

Hence, the mass of the another freight car is, m = 20,000 kg

Answer from: Quest

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance (d) = 3 feet

time taken to lift (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

1 h.p = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

h.p = (force × distance)/ time

= (10 × 3)/ 10

= 30/10

= 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts

Answer from: Quest

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2

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