The question and all of the choices are rather messy and misleading.
Here's a simple statement that you can use to make the best match:
If the two forces are equal, then more work is done by the force that
continues to be applied through the greater distance.
We're missing one essential piece of information that we need in order to answer this question. You have not specified <em>what planet</em> the object is falling on. The answer depends on the gravitational acceleration on that planet, and they're all different.
Without that information, we'll just go ahead and assume that the object is falling to the surface of the Earth. Wherever on Earth this tense drama is unfolding, the acceleration of gravity is going to be around <em>9.8 m/s²</em> everywhere.
So THAT's the object's acceleration if there is no air resistance. The object's MASS makes no difference. It doesn't matter whether the object is a sparrow feather or a school bus. Heavier objects DO NOT fall faster than light objects.
If there is no air resistance, then ALL objects fall with the same acceleration. It's called the "acceleration of gravity" on that planet or moon, and you can easily look it up. It's 9.8 m/s² on Earth, 1.62 m/s² on the Moon, 3.71 m/s² on Mars, 8.87 m/s² on Venus, and 24.8 m/s² on Jupiter.
A) The vertical component of velocity v is taking the rock to a height
Vertical component =

The time taken to reach maximum height =

So total time of rocks flight =

Range of rock is due to the horizontal component of velocity =

Range =

=

Maximum height =

=

Since range = maximum height
We have



So when angle of projection is

range is equal to maximum height reached.
b) We have range =

=

Maximum of range is reached when

Maximum range =

c) For range to be equal to maximum height only condition is

, it does not depend upon acceleration due to gravity and velocity. That angle is a constant.
Answer:
The charge on the outer surface of the block = -5.00 nC
The charge on the surface of the cavity (on the inner surface of the block) = -3.00 nC
Explanation:
The point charge within the cavity will induce a charge equal in magnitude and opposite in sign on the inside cavities of the copper block.
Charge of the point charge = 3.00 nC
Charge induced on the inner surface of the Copper block's cavity = -3.00 nC
Since the charge on a conductor should usually be neutral, the charge on the inner surface causes a charge equal in magnitude and also opposite in sign on the outer surface of the block; that is, 3.00 nC.
But this block already has an excess charge of -8.00 nC (which resides on the surface because excess charge for conductors reside on the surface of the conductors)
So, net charge on the outer surface of the Copper block = -8.00 + 3.00 = -5.00 nC.
Hope this Helps!!!
Answer:
2.4525 N
Explanation:
The earths gravity is 9.81 N/Kg
And so to work this out you would multiply 9.81 by 0.250 which equals to 2.4525N