A shopping cart accelerates 0.5 m/s2 when a net force of 8 N is applied to it. What is the mass of the shopping cart?
4 kg
0.06 kg
8.5 kg
16 kg
can someone explain this to me?
Third law is
Force = rate of change of momentum
= change of m V / change it time
if m is constant
Force = m * change of V / change in time = m * acceleration
here
8 Newtons = m * ( 0.5 meters/ second/ second)
m = 8/0.5 = 16 kg
To find the mass of the shopping cart, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. The formula can be written as:
F = m * a
Where:
F is the net force (8 N),
m is the mass of the shopping cart (unknown),
and a is the acceleration (0.5 m/s^2).
To find the mass of the shopping cart, we can rearrange the formula:
m = F / a
Plugging in the given values, we have:
m = 8 N / 0.5 m/s^2
m = 16 kg
Therefore, the mass of the shopping cart is 16 kg.