Answer:
-78.4 cm
Explanation:
We can solve the problem by using the lens equation:

where
p is the distance of the object from the lens
q is the distance of the image from the lens
f is the focal length
Here we have
p = 80.0 cm
q = -39.6 cm (negative, because the image is on the same side as the object , so it is a virtual image)
Substituting, we find f:


False because the first law of motion is the crash I think I’m in middle school
Answer:
The speed is 0.97 c.
Explanation:
Given that,
Dilated time t'= 50.0 years
Rest time t = 13.0 years
We need to calculate the speed
Using formula of time dilation

Where, t' = change in time
t = rest time
v = velocity
c = speed of light
Put the value into the formula




Hence, The speed is 0.97 c.
<span>5.3 cm/s
This is a matter of conservation of momentum. Since there's no mention of the puck rebounding, I will consider this to be a totally non-elastic collision. So, let's determine the starting momentum of the system.
Goalie is at rest, so his momentum is 0.
Puck is moving at 30.00 m/s with a mass of 0.16 kg, so:
30.00 m/s * 0.16 kg = 4.8 kg*m/s
So the starting momentum is 4.8 kg*m/s moving towards the goal. After the collision, the puck and goalie will have the same momentum. So figure out the mass of the new system:
90.00 kg + 0.16 kg = 90.16 kg
And divide the system momentum by the system mass:
4.8 kg*m/s / 90.16 kg = 0.053238687 m/s
Finally, round to the least precise datum, so the result to 2 significant figures is 0.053 m/s, or 5.3 cm/s.</span>