Aconstant braking force of 10 newtons applied for 5 seconds is used to stop a 2.5-kilogram cart traveling at 20 meters per second. the magnitude of the impulse applied to stop the cart is

The impulse applied to in object produce an equal force to change the leaner momentum of the object.  The magnitude of the impulse applied to stop the cart is 50 N.s.

Impulse:

The impulse can be calculated as,

Where,

F - force = 10 N

T - time =  5 sec.

put the value in the formula,

Hence, we can conclude that the magnitude of the impulse applied to stop the cart is 50 N.s.

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the total distance traveled by the car is

30km + 49km = 79 km .

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.