Answer:
the correct answer is A, North
Explanation:
The forces are vectors so they must be added vectorially.
The magnitude of the forces is the same, but not their direction, which is why they are different.
Analyze the situation presented
We have a force towards the North and another towards the South with the same magnitude, therefore these cancel each other out
We have a force towards the Northeast and another towards the Northwest, these can be decomposed into parts, one towards the North and another on the East-West axis, this last component is canceled, but the component towards the North is added.
In summary we see that the body accelerates towards the North
the correct answer is A
Answer:
Explanation:
Increase in gravitational potential energy = m x g x h
where m is mass , g is gravitational acceleration and h is height
In the first case when man climbs
increase in potential = 85 x g x h = 1.85 x 10³ J
gh = 21.7647
when dog climbs
increase in potential = 14.5 x g x h J
= 14.5 x 21.7647
= 315.6 J
Answer:
so simple it is a square formula
The kinetic and potential energies must be taken into account. The ball lost some speed but was also raised in the vertical direction between the two measured positions. This will cost some of the kinetic energy that we don't want to ascribe to the air resistance losses.
The gain in potential energy is
mg(h₂-h₁) = 0.583*9.81*(3.10-1.80) = 7.435J
The loss in kinetic energy is
(1/2)m(v₁² - v₂²) = (0.583/2)(7.29²-4.22²)=10.3J
Since 7.435J of this is due to the fact that it gained potential energy the final result is E=10.3J-7.435J=2.865J.
One way to think about the potential energy part is that it is higher in the air at the hoop than when the player releases the ball. In other words it hasn't fallen as far down as it went up, it is still in the process of gaining speed on the way down. This reduction in speed means less kinetic energy, but not because it was lost. It will be gained once it falls to the height of 1.8m, minus the little loss it will experience over that distance due to air resistance.
Answer:
5.7 m/s^2
Explanation:
First of all, we need to calculate the resultant force on the crate. We have:
- A force of +210 N in the positive direction
- The frictional force of -74 N in the opposite direction
So, the resultant force is
F = 210 N - 74 N= 136 N
So now we can apply Newton's second law to find the acceleration:
where m=24 kg is the mass of the crate. Re-arranging the equation, we get:
