A 3 kg toy car rests st the top of a 0.45 meter ramp. What is its gravitational potential energy?

Mathematics

1 answer:

salantis [7]3 years ago

7 0

<span>gravitational potential energy : P
Gravity : g
Mass : m
height : h

P = mgh = 3 x 9.8 x 0.45 = 13.23 Joule

Potential energy is work , from the known formula

W = Fd ( work = force x distance )

W = P ( in case of potential energy height change)

F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body

F = mg ( not just <m> as the force is mg (Newton) gravity effect)

d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so

d = h

W = Fd = (F = mg) x (d = h) = mgh

W = mgh = P

</span>

You might be interested in

What is a composite and prime number

Oxana [17]

Prime numbers are numbers that we can only divide by 1 and it self.
example- 2 can only be divided by 2 and 1

composite numbers are numbers we can divide by two or more numbers
example- 4 can be divided by 1,2 and 4.

5 0

2 years ago

when a cannonball is fired, the equation of its pathway can be modeled by h=-16t squared + 128t. find the time it will take for

Rashid [163]

At the time the cannonball reaches the ground, the vertical height of the cannonball from the ground is 0, i.e. h = 0.

Thus, the time it will take the cannonball to reach the ground is given by

$-16t^2+128t=0 \\ \\ \Rightarrow t(-16t+128)=0 \\ \\ \Rightarrow t=0\ or\ -16t+128=0 \\ \\ \Rightarrow16t=128 \\ \\ \Rightarrow t= \frac{128}{16} =8$

Therefore, it will take the cannonball 8 seconds to reach the ground.

5 0

3 years ago

Thanks for the help!

Bogdan [553]

Hope you could understand.

If you have any query, feel free to ask.