Explanation: I took the test
Momentum can be computed by finding the product of mass and velocity. To solve this, you can use the formula below to find the greatest momentum:
p = mv
p = momentum (kgm/s) m = mass (kg) v = velocity (m/s)
Because carts are moving along with the weights, we need to consider the whole system. This means that you need to add in the masses and the mass of the cart.
m = 200kg + 0 kg = 200 kg
v = 4.8 m/s
p = 200kg x 4.8 m/s = 960 kg-m/s
m = 200kg + 20 kg = 220 kg
v = 4.0 m/s
p = 220kg x 4.0 m/s = 880 kg-m/s
m = 200kg + 40 kg = 240 kg
v = 3.8 m/s
p = 240kg x 3.8 m/s = 912 kg-m/s
m = 200kg + 60 kg = 260 kg
v = 3.5 m/s
p = 260kg x 3.5 m/s = 910 kg-m/s
As you can see, Cart A has the greatest momentum.
momentum = mass × velocity.
means that the greater the mass the greater the momentum.
or the greater the speed the greater the momentum.
now given that the carts are identical but different masses are put on the carts it means that have different momentum.
the cart with the largest mass has the momentum.
mass of each lab cart , m = 200kg
now, a/c to question, different masses are added to the carts and velocities are measured.
after that, mass of carts are ; and velocities are respectively.
so, momentum of first cart,
momentum of 2nd cart,
momentum of 3rd cart,
momentum of 4th cart,
here it clear that , momentum of cart will be greatest when product of mass and velocity of that cart will be greatest .