-- On Earth, 1 kg of anything weighs 9.81 Newtons (2.205 pounds). It doesn't matter what substance comprises the kilogram.
-- Although their weights are identical, any mass of feathers occupies more volume than the same mass of iron, no matter where they happen to be located.
-- Iron is more dense than feathers, and more dense than a lot of other substances as well, too.
Yes, a puddle of water is an object in motion.
Answer and Explanation:
1. Evaluate the function x(t) at t=0.5

2. The period of motion T can be calculated as:

Where:

So:

3. The angular frequency can be expressed as:

Solving for k:

4. Find the derivate of x(t):

Now, the sine function reach its maximum value at π/2 so:

Solving for t:

Evaluating v(t) for 0.6603981634:

So the maximum speed of the block is:
In the negative direction of x-axis
5. The force is given by:

The cosine function reach its maximum value at 2π so:

Solving for t:

Evaluating x(t) for 3.016592654:

Therefore the the maximum force on the block is:

Answer:
a)

b)

Explanation:
a)
= mass of the asteroid = 43000 kg
= initial speed of asteroid = 7600 m/s
= final speed of asteroid = 5000 m/s
= Work done by the force on asteroid
Using work-change in kinetic energy theorem

b)
= magnitude of force on asteroid
= distance traveled by asteroid while it slows down = 1.4 x 10⁶ m
Work done by the force on the asteroid to slow it down is given as
