Physics College

1.5 A man with a mass of 90,6 kg walks to the back of a train at a velocity of 1m/s while the train moves at a constant velocity of 36 km/h in a easterly direction 1.5.1 The weight of the man 1.5.2 The velocity of the train in m/s 1.5.3 The resultant velocity of the man 1.5.4 The distance the train has travelled in ten (10) minutes (1) (1) (2) (2)

Answers

Answer 1

The weight of the man is approximately 888.6 Newtons.

The velocity of the train is approximately 10 m/s.

The resultant velocity of the man is 11 m/s.

The train has traveled a distance of 6000 meters in ten (10) minutes.

To solve this problem

1.5.1 The weight of the man can be calculated using the formula:

Weight = mass * acceleration due to gravity

Given:

Mass of the man (m) = 90.6 kg

Acceleration due to gravity (g) ≈ 9.8 m/s²

Weight of the man = 90.6 kg * 9.8 m/s² ≈ 888.6 N

Therefore, the weight of the man is approximately 888.6 Newtons.

1.5.2 The velocity of the train in m/s can be converted from its given velocity in km/h. Since 1 km/h is equal to 1000/3600 m/s, we can calculate:

Velocity of the train (v) = 36 km/h * (1000/3600) m/s ≈ 10 m/s

Therefore, the velocity of the train is approximately 10 m/s.

1.5.3 By taking into account the relative motion of the man and the train, it is possible to determine the man's final velocity. The resultant velocity will equal the vector sum of the man's walking velocity and the train's velocity because the man is traveling toward the rear of the train, which is moving eastward.

Given:

Velocity of the man relative to the train (v_man) = 1 m/s (backwards)

Resultant velocity of the man (v_resultant) = v_man + v_train

v_resultant = 1 m/s + 10 m/s = 11 m/s

Therefore, the resultant velocity of the man is 11 m/s.

1.5.4 The distance the train has traveled in ten (10) minutes can be calculated using the formula:

Distance = velocity * time

Given:

Time (t) = 10 minutes = 10 * 60 seconds = 600 seconds

Velocity of the train (v) = 10 m/s

Distance = 10 m/s * 600 seconds = 6000 meters

Therefore, the train has traveled a distance of 6000 meters in ten (10) minutes.

Learn more about velocity here : brainly.com/question/25905661

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