A 3 kg toy car rests st the top of a 0.45 meter ramp. What is its gravitational potential energy?
1 answer:
<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>
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>
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<u>Answer: </u>
The equation in slope intercept form for (5,9) and (6,8) is y = 3x-10
<u>Solution: </u>
Given that (5,9) and (6,8)
Here,
We know the slope of an equation is given by y = mx+c
To find the value of m, we use the below given formula
Substituting the values we get,
m = 3
Putting the value of m in the slope intercept form we get,
y = 3x+c
To find the value of c, we substitute the value of x and y from any two given point. Let’s take x = 5 and y = 5
5 = 3(5) + c
5 = 15 +c
5-15 = c
c = -10
Therefore the slope intercept equation becomes y = 3x -10