An object of mass 3.2 kg is allowed to fall from rest under the force of gravity for 3.5 s. What is the change in its momentum? Ignore air resistance.
To calculate the change in momentum of an object, you need to know the mass of the object and the time for which the force is acting on it. In this case, the mass of the object is given as 3.2 kg, and the time for which the force of gravity is acting on it is given as 3.5 s.
The formula to calculate momentum is:
Momentum = mass × velocity
Since the object is falling under the force of gravity, its velocity will increase with time. The velocity of an object falling under gravity can be calculated using the formula:
Velocity = acceleration × time
In this case, the object is falling from rest, so its initial velocity is zero. The acceleration due to gravity is approximately 9.8 m/s^2 (assuming the object is near the surface of the Earth).
Using the formula, we can calculate the final velocity of the object:
Velocity = 9.8 m/s^2 × 3.5 s
Now that we have the final velocity, we can calculate the momentum:
Momentum = mass × velocity
Plugging in the values:
Momentum = 3.2 kg × (9.8 m/s^2 × 3.5 s)
Calculating this expression will give you the change in momentum of the object.