a.)if a person is trying to throw and object with a mass of 2000kg, how much force must they use to lift it?
b.) in throwing it, the person accelerates the object from rest to 25m/s in 1.5 meters. How much force is used to do this?
a.) To lift an object, you need to apply a force equal to the weight of the object. The weight of an object can be calculated using the formula:
Weight = Mass x Acceleration due to gravity
The acceleration due to gravity is approximately 9.8 meters per second squared (m/s^2). Therefore, to lift an object with a mass of 2000 kg, you would need to apply a force equal to:
Force = Mass x Acceleration due to gravity
Force = 2000 kg x 9.8 m/s^2
Force = 19,600 Newtons
So, you would need to use a force of 19,600 Newtons to lift the object.
b.) To calculate the force used to accelerate an object, you can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration:
Force = Mass x Acceleration
In this case, the object starts from rest (initial velocity is 0 m/s) and accelerates to a final velocity of 25 m/s over a distance of 1.5 meters. To find the force, we need to find the acceleration first.
We can use the following equation to calculate acceleration:
(v^2 - u^2) = 2as
Where:
v = final velocity = 25 m/s
u = initial velocity = 0 m/s
s = distance = 1.5 m
Substituting the values into the equation:
(25^2 - 0^2) = 2a(1.5)
a = (25^2 - 0^2) / (2 * 1.5)
a = 12.5 m/s^2
Now, we can calculate the force:
Force = Mass x Acceleration
Force = 2000 kg x 12.5 m/s^2
Force = 25,000 Newtons
So, the force used to accelerate the object from rest to 25 m/s over a distance of 1.5 meters is 25,000 Newtons.