Car is traveling at a speed, what speed will a truck have the same momentum?

[IDKPhysics101]

A car with a mass of 964.0 kg is traveling at a speed of 63.3 km/hr. At what speed (in km/hr) will a 3530.7 kg truck have the same amount of momentum as the car?

 

[rock.freak667]

A car with a mass of 964.0 kg is traveling at a speed of 63.3 km/hr. At what speed (in km/hr) will a 3530.7 kg truck have the same amount of momentum as the car?

First start by asking yourself what is the definition of linear momentum and hence what is the momentum of the car?

 

[IDKPhysics101]

car
speed=63.3km/hr=17.58m/s
p=964*17.58
p=16947.12

truck
p=mv
16947.12=3530.7*V
V=4.79m/s??

 

[rock.freak667]

car
speed=63.3km/hr=17.58m/s
p=964*17.58
p=16947.12

truck
p=mv
16947.12=3530.7*V
V=4.79m/s??

Yes, that should be correct.

 

[rwisz]

To determine the speed of the truck that will have the same momentum as the car, we can use the formula for momentum, which is mass multiplied by velocity. In this case, the momentum of the car can be calculated as 964.0 kg x 63.3 km/hr = 61,045.2 kg*km/hr. To have the same momentum, the truck's momentum must also be 61,045.2 kg*km/hr.

Using the same formula, we can rearrange it to solve for the velocity of the truck, which would be equal to the momentum divided by the mass. So, the velocity of the truck can be calculated as 61,045.2 kg*km/hr / 3530.7 kg = 17.3 km/hr.

Therefore, a truck with a mass of 3530.7 kg traveling at a speed of 17.3 km/hr will have the same momentum as a car with a mass of 964.0 kg traveling at a speed of 63.3 km/hr. It is important to note that momentum is a vector quantity, so the direction of the truck's velocity must also be the same as the car's for them to have the same momentum.