How do I calculate velocity using force, mass and time?

[Willymcmilly]

I'm doing a science problem.
"Create a graph that shows the velocity of each cart each second for 10 seconds."
Here are my variables: mass1 = 50kg, mass2 = 70kg, force1 = 1000n, force2 = 1500n
I tried multiplying the mass by the force but that game me ridiculous answers like 150,000m/s which is not a speed you would get from a shopping cart.

[Ad Bot]

[SeventhSandwich]

I tried multiplying the mass by the force but that game me ridiculous answers like 150,000m/s which is not a speed you would get from a shopping cart.

When you multiplied your force by your mass, did you actually get 150,000m/s? Something about those units appears suspect.

[Willymcmilly]

When you multiplied your force by your mass, did you actually get 150,000m/s? Something about those units appears suspect.

70*1500=150,000 according to calculator.com

[SeventhSandwich]

70*1500=150,000 according to calculator.com

No, the units. When you multiplied units of force with units of mass, did you actually end up with m/s?

[Willymcmilly]

No, the units. When you multiplied units of force with units of mass, did you actually end up with m/s?

I guess not.

[Ipquarx]

F = M A
1000 = 50 A
1000/50 = A
A = 20

F = M A
1500 = 70 A
1500 / 70 = A
A = 150/7

V2 = V1 + A T

Looks like taking high school physics has finally played off for me :^)

[Tokthree]

70*1500=150,000 according to calculator.com

Hmm.

[Willymcmilly]

Ah, i've figured something out.
It turns out mass times force is acceleration, so I will need to use acceleration to find my velocity.

[CRITAWAKETS]

Just use the force.

[Juncoph]

velocity itself doesn't require energy and thus cannot be directly calculated using force and mass, that's inertia for you. acceleration is what needs energy

[Ipquarx]

Ah, i've figured something out.
It turns out mass times force is acceleration, so I will need to use acceleration to find my velocity.

NO! Force = Mass * Acceleration, so Acceleration = Force / Mass!
I literally just did the calculations in my post :(

[SeventhSandwich]

velocity itself doesn't require energy and thus cannot be directly calculated using force and mass, that's inertia for you. acceleration is what needs energy

That's an overly technical answer for a problem that almost certainly specifies both carts start at rest.

[Glass Joe]

well, first you need to find the acceleration for both of them. you can do this by taking the F = ma equation and dividing both sides by the mass, so you end up getting F/m = a. Then just plug in the values: force1(1000N)/mass1(50kg) = 20 m/s^2 ; force2(1500N)/mass2(70kg) = ~21.43 m/s^2.

Then, use the v_f = v_i + at equation and plug in the values once more for each equation. i'm gonna assume that v_i is 0.

v_f = (20 m/s^2)(10 s)
v_f = 200 m/s

v_f = (21.43 m/s^2)(10 s)
v_f = ~214.28 m/s

also protip: these numbers are ridiculous because friction and air resistance isn't taken into account. you will never see a shopping cart at roughly 447 miles per hour.

[Juncoph]

also protip: these numbers are ridiculous because friction and air resistance isn't taken into account. you will never see a shopping cart at roughly 447 miles per hour.

well hey man, maybe he's doing the math  for how to do an orbital transfer with a shopping cart in space

[XR-7]

Looks like taking high school physics has finally played off for me :^)

MA the F be with you