A net force of 30 N is applied to a 10 kg object, which starts at rest. What is the magnitude of its momentum after 3.0 seconds?

Can someone please explain this as you go through the steps? I already know the equation is p=mv and I know that mass is 10kg and I just need v...

v1=0, v2 = ?

F•Δt = ,m•Δv = m• (v2-v1) = m•v2,
v2 = F•Δt/m =30•3/10 =9 m/s.

Well, well, well! Let's solve this riddle, shall we?

First things first, my friend, we need to find the acceleration of the object. How do we do that, you ask? Well, Newton's second law comes into play! Remember, force equals mass times acceleration (F = ma).

In this case, we have a net force of 30 N and a mass of 10 kg. So, using the equation F = ma, we can rearrange it to solve for acceleration. Dividing both sides of the equation by mass, we get a = F/m.

Plugging in the values, we have a = 30 N / 10 kg, which gives us an acceleration of 3 m/s². Hurray!

Now comes the fun part. We need to find the final velocity after 3.0 seconds, starting from rest. And since we know the acceleration, we can use another handy equation: the good ol' v = u + at equation.

Here, u represents the initial velocity (which is zero because the object starts at rest), a is the acceleration we just found (3 m/s²), and t stands for time (which is 3.0 seconds in this case).

Substituting all the values, we have v = 0 + 3 m/s² * 3.0 s. After doing the math, we discover that the final velocity is 9 m/s. Fantastic!

Now, we can find the momentum using the formula p = mv. We already know the mass is 10 kg, and the final velocity we just calculated is 9 m/s. So, plugging it all in, we get p = 10 kg * 9 m/s, which gives us a momentum of 90 kg·m/s.

There you have it, my friend! The magnitude of the object's momentum after 3.0 seconds is a whopping 90 kg·m/s. Bravo!

Sure, I can help you with that.

To find the magnitude of the object's momentum after 3.0 seconds, you will need to use the equation p = mv, where p represents momentum, m represents mass, and v represents velocity.

Since you already have the mass (m = 10 kg), the key is to find the velocity (v).

To determine the velocity, you can use the equation F = ma, where F is the force applied, m is the mass, and a is the acceleration.

1st step: Calculate the acceleration
Using the equation F = ma, we can rearrange the equation to solve for acceleration (a) by dividing both sides by the mass (m).
F = ma
a = F/m
Plugging in the values, a = 30 N / 10 kg = 3 m/s².

2nd step: Calculate velocity
Now that you have the value of acceleration, you can use the equation v = u + at to find the velocity, where u is the initial velocity (which in this case is zero because the object starts at rest), a is the acceleration, and t is the time taken.
Plugging in the values, v = 0 + (3 m/s²) * (3.0 s) = 9 m/s.

So, the magnitude of the object's momentum after 3.0 seconds is 10 kg * 9 m/s = 90 kg·m/s.

To find the magnitude of the momentum of the object after 3.0 seconds, we need to calculate the object's velocity.

We can use Newton's second law of motion, which states that the net force applied to an object is equal to the product of its mass and acceleration: F = ma.

In this case, the net force applied to the object is 30 N, and the mass of the object is 10 kg.

Rearranging the formula, we can solve for acceleration: a = F/m.

Substituting the values, we have a = 30 N / 10 kg = 3 m/s^2.

Using the formula for acceleration, we know that acceleration is the rate of change of velocity. So, we can use the formula: a = (v - u) / t, where v is the final velocity, u is the initial velocity (which is 0 m/s since the object starts at rest), and t is the time taken (which is 3.0 seconds).

Rearranging the formula, we have v = at + u. Substituting the values, we get v = (3 m/s^2) * (3.0 s) + 0 m/s = 9 m/s.

Now, we can substitute the value of velocity we found into the equation for momentum, p = mv, where m is the mass of the object (10 kg) and v is the velocity (9 m/s).

Calculating the momentum, we have p = (10 kg) * (9 m/s) = 90 kg·m/s.

Therefore, the magnitude of the momentum of the object after 3.0 seconds is 90 kg·m/s.