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 36km/h in a easterly direction. what is the weight of the man
1. There is no vertical motion, so no vertical acceleration.
2. The velocities are constant anyway, again no acceleration.
So
weight = m g = about 90.6 * 9.81 Newtons
Someone is trying to confuse you.
To find the weight of the man, we need to consider the gravitational force acting on him. The weight of an object can be calculated using the formula:
weight = mass * acceleration due to gravity
Since the problem does not specify the location, let's assume it is on Earth. The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
First, we convert the velocity of the train from km/h to m/s:
36 km/h = 36 * (1000 m/1 km) / (3600 s/1 h) = 10 m/s
Now let's determine the velocity of the man relative to the ground. Since the man walks towards the back of the train, we need to subtract the man's velocity from the velocity of the train:
Velocity of the man relative to the ground = Velocity of the train - Velocity of the man
Velocity of the man relative to the ground = 10 m/s - 1 m/s = 9 m/s
Now we can calculate the weight of the man using the formula:
weight = mass * acceleration due to gravity
weight = 90.6 kg * 9.8 m/s^2
weight ≈ 888.7 N
Therefore, the weight of the man is approximately 888.7 Newtons.
To determine the weight of the man, we need to understand the concept of weight and how it relates to mass.
Weight is the force exerted on an object due to gravity. It is calculated using the formula:
Weight = mass × acceleration due to gravity
First, let's convert the mass of the man from kilograms to Newtons using the formula:
Weight (in Newtons) = mass (in kilograms) × acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s². Therefore:
Weight (in Newtons) = 90.6 kg × 9.8 m/s²
Weight (in Newtons) = 886.68 N
So, the weight of the man is approximately 886.68 Newtons.