What is the momentum of an automobile (weight = 9800 N) when it is moving at 36 m/s to the south?
magnitude
The mass is M = W/g = 1000 kg
The momentum is M*V, and its direction is south.
M*V = 1000*36 = ___ kg m/s
36000
To find the momentum of an object, we can use the equation:
Momentum = mass × velocity
However, in this case, we are given the weight of the automobile, not its mass. To find the mass, we need to use the equation:
Weight = mass × gravity
Since the weight is given as 9800 N and the acceleration due to gravity on Earth is approximately 9.8 m/s², we can rearrange the equation to solve for mass:
mass = weight ÷ gravity
mass = 9800 N ÷ 9.8 m/s²
mass ≈ 1000 kg (approximate value)
Now we can calculate the momentum using the mass and velocity:
momentum = mass × velocity
momentum = 1000 kg × 36 m/s
momentum = 36000 kg·m/s
Therefore, the momentum of the automobile when it is moving at 36 m/s to the south is 36000 kg·m/s.
To find the momentum of an object, we need to multiply its mass by its velocity. In this case, we are given the weight of the automobile, which is the force exerted by gravity on the object. Weight is equal to mass multiplied by the acceleration due to gravity (9.8 m/s^2). Hence, we can calculate the mass of the automobile as follows:
Weight = mass * acceleration due to gravity
9800 N = mass * 9.8 m/s^2
Dividing both sides of the equation by 9.8 m/s^2, we find:
mass = 9800 N / 9.8 m/s^2
mass = 1000 kg
Now that we know the mass of the automobile, we can calculate its momentum using the formula:
momentum = mass * velocity
Substituting the given values:
momentum = 1000 kg * 36 m/s
momentum = 36000 kg·m/s
Therefore, the momentum of the automobile is 36000 kg·m/s.