What is the momentum of an automobile (weight = 9700 N) when it is moving at 36 m/s to the south?
momentum = mass * velocity
thus we first get the mass by dividing the weight by g.
m = W/g
m = 9700/9.81
m = 988.8 kg
thus,
momentum = p = mv
p = 988.8 * 36
p = 35596.8 kg*m/s
hope this helps~ :)
Thanks for all your help!
To calculate the momentum of an object, you need to multiply its mass by its velocity. However, in this case, we have been given the weight of the automobile instead of its mass.
To find the mass, we can use the formula Weight = mass × gravitational acceleration, which is given by the equation W = mg, where m represents the mass and g represents the acceleration due to gravity. The approximate value of the acceleration due to gravity on Earth is 9.8 m/s².
Given that the weight of the automobile is 9700 N, we can rearrange the formula to solve for the mass:
Weight = mass × gravitational acceleration
9700 N = mass × 9.8 m/s²
Dividing both sides of the equation by the gravitational acceleration, we get:
mass = 9700 N / 9.8 m/s²
Now we can calculate the mass of the automobile.
mass = 988.78 kg (rounded to two decimal places)
Next, we need to calculate the momentum using the formula:
Momentum = mass × velocity
Substituting the values into the formula, we get:
Momentum = 988.78 kg × 36 m/s
Calculating this equation gives us:
Momentum = 35,596.08 kg·m/s
Therefore, the momentum of the automobile when it is moving at 36 m/s to the south is approximately 35,596.08 kg·m/s.