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30 POINTS!!! how long must a 50 N force act on a 400 kg mass to raise its speed from 10 m/s to 12 m/s

User Eyal Biran
by
4.1k points

2 Answers

10 votes

Final answer:

The force must act on the mass for 16 seconds to raise its speed from 10 m/s to 12 m/s.

Step-by-step explanation:

To find the time it takes for a force to change the speed of an object, we can use the equation:

force x time = change in momentum

In this case, the force is 50 N, the change in momentum is (12 m/s - 10 m/s) x 400 kg = 800 kg m/s, and we need to find the time.

Using the equation, we can rearrange it to solve for time:

time = change in momentum / force

Plugging in the values, we have:

time = 800 kg m/s / 50 N = 16 s

Therefore, the force must act on the mass for 16 seconds to raise its speed from 10 m/s to 12 m/s.

User Vishal Tavande
by
5.9k points
12 votes

Answer:

16 seconds

Step-by-step explanation:

we want to find the acceleration first:

F = ma

50/400 = a

a = 0.125 m/s²

laws of motion formula:

vf = vi + at

12 = 10 + 0.125t

t = 16 seconds

hope this helps :)

User Karthik Saxena
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5.6k points