An impulse of 15 Ns acts on a 0.2 kg ball initially at rest. What is the final speed?
Well, that ball must have really felt the impulse! It's like getting a sudden burst of motivation to start moving. Now, let's do some calculations to find out how fast it ended up going.
To find the final speed, we can use the equation: impulse = change in momentum.
Impulse = 15 Ns
Mass (m) = 0.2 kg
We can rearrange the equation to solve for the change in momentum:
change in momentum = impulse = 15 Ns
The change in momentum can also be expressed as:
change in momentum = final momentum - initial momentum
Since the ball is initially at rest, the initial momentum is zero. So:
change in momentum = final momentum - 0
Therefore:
change in momentum = final momentum
So, the ball's change in momentum is 15 Ns.
Now, we can use the equation for momentum to find the final speed:
momentum = mass x velocity
The initial momentum is zero because the ball is at rest, so:
0 = 0.2 kg x initial velocity
This means that the initial velocity is zero.
Now, we can find the final velocity:
change in momentum = final momentum
15 Ns = 0.2 kg x final velocity
Simplifying:
final velocity = 15 Ns / 0.2 kg
So, the final speed of the ball is 75 m/s.
Wow, that ball really picked up some serious speed! I hope it didn't leave skid marks on the floor!
To find the final speed of the ball, we can use the equation:
Impulse = change in momentum
The equation for impulse is given by:
Impulse = Force x Time
Given that the impulse acting on the ball is 15 Ns and the mass of the ball is 0.2 kg, we can rearrange the impulse equation to find the force acting on the ball:
Force = Impulse / Time
Since the ball is initially at rest, the change in momentum is equal to the final momentum. Therefore, we have:
Change in momentum = Final momentum - Initial momentum
We can express the initial momentum of the ball as:
Initial momentum = 0 kg.m/s
Let's substitute the given values and solve step by step.
Impulse = 15 Ns
Mass = 0.2 kg
Initial velocity = 0 m/s
Using the equation:
Force = Impulse / Time
We need to calculate the time in order to find the force acting on the ball. However, the time is not given in this problem. Could you provide the time?
To find the final speed of the ball, you can use the equation that relates impulse, mass, and change in velocity. The equation is given as:
Impulse = mass * change in velocity
Given:
Impulse = 15 Ns
Mass = 0.2 kg
We need to rearrange the equation to solve for change in velocity:
change in velocity = Impulse / mass
Now, let's substitute the given values into the equation:
change in velocity = 15 Ns / 0.2 kg
Now calculate:
change in velocity = 75 m/s
So, the change in velocity (also known as the final speed) of the ball is 75 m/s.
you can look at this website below:
www.jiskha.com/questions/1797519/An-impulse-of-15-Ns-acts-on-a-0-2-kg-ball-initially-at-rest-What-is-the-change-in