Answer:
313.8 m/s
Explanation:
Momentum p must be conserved.
The momentum before the collision:

The momentum after the collision:

Solving both equations:

Answer:
F = 3.86 x 10⁻⁶ N
Explanation:
First, we will find the distance between the two particles:

where,
r = distance between the particles = ?
(x₁, y₁, z₁) = (2, 5, 1)
(x₂, y₂, z₂) = (3, 2, 3)
Therefore,

Now, we will calculate the magnitude of the force between the charges by using Coulomb's Law:

where,
F = magnitude of force = ?
k = Coulomb's Constant = 9 x 10⁹ Nm²/C²
q₁ = magnitude of first charge = 2 x 10⁻⁸ C
q₂ = magnitude of second charge = 3 x 10⁻⁷ C
r = distance between the charges = 3.741 m
Therefore,

<u>F = 3.86 x 10⁻⁶ N</u>
10. A safe place to use the trebuchet would be away from other buildings and people. A good example of a place would be a large field with no nearby structures.
14. Many factors need to be kept consistent throughout the experiment. One example of a variable that would need to be consistent is the weight and size of the projectile.
15. It is important to do many trials so that you can make sure that the results of each trial are nearly the same. If they are all vastly different, then it means that something has gone wrong.
Sorry I was only able to answer a few questions, but I hope these few answers help! :)
Answer: 4
Explanation:
Given that:
Mass of car M = 2200 kg
Initial speed Vi = 50 km/hr
Final speed Vf = 100 km/hr
Kinetic energy is the energy possessed by a moving object. It is measured in joules, and depends on the mass (m) of the object and the speed (v) by which it moves
i.e K.E = 1/2MV^2
So, when traveling at 50 km/h
KE = 1/2x 2200kg x (50km/h)^2
KE = 0.5 x 2200 x 2500
KE1 = 2750000J
So, when traveling at 100 km/h
KE = 1/2x 2200 x (100 km/h)^2
KE = 0.5 x 2200 x 10000
KE2 = 11000000J
Thus, the number of times kinetic energy increases is obtained by dividing KE2 by KE1
i.e 11000000J / 2750000J
= 4
Thus, the kinetic energy from the car’s forward motion increase 4 times
Answer:
The power of lens is 2.22 D.
Explanation:
Given that,
Distance of image v= 45 cm
We know that,
Distance of object u= ∞
Power of lens is the reciprocal of focal length.

We need to calculate the power of lens
Using formula of lens

Where, f = focal length
v = image distance
u = object distance
Put the value into the formula



Hence, The power of lens is 2.22 D.