# Resulting Velocity of Astronaut/Equipment: 1,960N in 2s

• Makaroon
In summary, the question asks for the resulting velocity of an astronaut and equipment after firing a 100 N rocket backpack for 2.0 seconds while weightless in space, with a weight of 1,960.0 N on Earth. To find the velocity, we need to first calculate the mass and acceleration using the weight and force equations, then use the velocity equation to find the answer.
Makaroon

## Homework Statement

On Earth, an astronaut and equipment weight 1,960.0 N. While weightless inspace, the astronaut fires a 100 N rocket backpack for 2.0 s. What is the resulting velocity of the astronauts and equipment?

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## The Attempt at a Solution

t=2.0 s
w=mg

i am super lost...
idk which equation to use :S
i only know of
v=d/t :S

You know the weight, so figure the mass.

You know the force, so figure the acceleration. F = M*a after all.

You know the acceleration, you know the time ... you know the answer.

I would first clarify the units used in the given values. The weight of the astronaut and equipment is given in Newtons (N), which is a unit of force. The rocket backpack's thrust is also given in Newtons, which is the force it exerts in a specific direction. Time is given in seconds (s), which is a unit of time. In order to calculate velocity, we need to use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Since the astronaut and equipment are initially weightless in space, their initial velocity (u) is zero. The acceleration (a) can be calculated using Newton's second law, F=ma, where F is the net force and m is the mass. In this case, the net force is the thrust of the rocket backpack (100N) and the mass is the weight of the astronaut and equipment (1,960N). Therefore, a = (100N)/(1,960N) = 0.051 s^-2. Plugging in these values, we get v = 0 + (0.051 s^-2)(2.0 s) = 0.102 m/s. Therefore, the resulting velocity of the astronaut and equipment after firing the rocket backpack for 2 seconds is 0.102 m/s.

## 1. What is the formula for calculating resulting velocity?

The formula for calculating resulting velocity is v = (F/m) * t, where v is the resulting velocity, F is the force applied, m is the mass of the astronaut or equipment, and t is the time in which the force is applied.

## 2. How do you convert Newtons to kilograms?

To convert Newtons (N) to kilograms (kg), you can use the formula m = F/g, where m is the mass in kilograms, F is the force in Newtons, and g is the acceleration due to gravity (9.8 m/s^2). For example, if a force of 1,960N is applied, the resulting mass would be 200 kg.

## 3. What is the unit of measurement for resulting velocity?

The unit of measurement for resulting velocity is meters per second (m/s). This unit represents the distance traveled in meters divided by the time in seconds.

## 4. How does the resulting velocity change if the force applied is increased?

If the force applied to the astronaut or equipment is increased, the resulting velocity will also increase. This is because the force is directly proportional to the resulting velocity, as shown in the formula v = (F/m) * t. Therefore, a greater force will result in a greater velocity.

## 5. Is the resulting velocity affected by the mass of the astronaut or equipment?

Yes, the resulting velocity is affected by the mass of the astronaut or equipment. As shown in the formula v = (F/m) * t, the mass is in the denominator, meaning that a greater mass will result in a smaller velocity. This is because a greater mass requires a greater force to achieve the same resulting velocity.

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