how much gravitational potential energy does a 5 kg rock have if is sitting on the edge of a cliff that is 10m high

Emily holds a banana of mass m over the edge of a bridge of height h. She drops the banana and it falls to the river below. Use

bearhunter [10]

Answer:

The mass of the banana is m and it is at height h.

Applying the Law of Conservation of Energy

Total Energy before fall = Total Energy after fall

$E_{i}$ = $E_{f}$

Here, total energy is the sum of kinetic energy and potential energy

$K.E_{i}$ + $P.E_{i}$ = $K.E_{f}$ + $P.E_{f}$ (a)

When banana is at height h, it has

$K.E_{i}$ = 0 and $P.E_{i}$ = mgh

and when it reaches the river, it has

$K.E_{f}$ = 1/2m $v^{2}$ and $P.E_{f}$ = 0

Putting the values in equation (a)

0 + mgh = 1/2m $v^{2}$ + 0

mgh = 1/2m $v^{2}$

cutting 'm' from both sides

gh = 1/2 $v^{2}$

v = $\sqrt{2gh}$

Hence, the velocity of banana before hitting the water is

v = $\sqrt{2gh}$

5 0

3 years ago

What is the difference between a spring and a stream?

Lena [83]

A spring is water coming from under the ground to the surface of the earth and a stream is water that is running along the ground through a trench like place on earth down a hill or steep a area.

3 0

3 years ago

1. Describe the motion of the race car shown in the graphic

zmey [24]

The car will slow down due to the negative acceleration (backward)

Explanation:

The figure is missing: find it in attachment.

To answer this question, we have to use Newton's second law, which states that:

$F=ma$

where

F is the net force on an object

m is its mass

a is its acceleration

We have to apply this law separately on the horizontal direction and vertical direction.

- In the vertical direction, we have two forces acting on the car: 2000 N upward and 2000 N downward, so they cancel out, and the net force in the vertical direction is zero.

- In the horizontal direction, the net force is instead

$F=6000 N - 8000 N = -2000 N$

In the backward direction (to the right).

So, according to Newton's second law, the car will experience a horizontal acceleration:

$a=\frac{F}{m}= -\frac{2000 N}{m}$

And the acceleration has the same direction as the net force (so, backward). This means that the acceleration is opposite to the direction of motion of the car, so the car will slow down, since its velocity will decrease.

Learn more about acceleration:

brainly.com/question/9527152

brainly.com/question/11181826

brainly.com/question/2506873

brainly.com/question/2562700

#LearnwithBrainly