Answer:
23.9m
Explanation:
step one:
This problem is on energy.
we can proceed by using the expression for potential energy to solve for height h
we know that
PE=mgh
given that
mass m= 5kg
PE= 1176 joules
step two:
we can substitute our data and find h
1176= 5*9.81*h
1176=49.05h
step three:
divide both sides by 49.05 we have
1176/49.05=h
h=23.9 m
The height of the tree is 23.9m
Explanation:
acc is velocity over time and the velocity rule is distance over time ..so acc would be distance over time power2
The proton (positive charge) shall be closer to the charge with the lower magnitude which is at the orgin.
The proton also shall be out of the interval between the two charges so that the pull of one charge cancels with the push of the other.
The region at which those conditions happen is to the left of the origin.
In that case the forces over the proton shall be:
k* (2.4 nC) * p / (x^2) - k*(4.8 nC) * p /( 1.3 + x)^2 = 0
where p is the charge of the proton.
You can simplify k and p:
2.4 / x^2 - 4.8 / (1.3 + x)^2 = 0
You can also simplify by 2.4
1/ x^2 - 2 / (1.3 + x)^2 = 0
(1.3+x)^2 - 2x^2 = 0
1.69 + 2.6x + x^2 - 2x^2 = 0
1.69 + 2.6x - x^2 = 0
x^2 -2.6x - 1.69 =0
Solve using the quadratic formula: x = 3.14 (use only the positive value)
That is the proton shall be place 3.14 units to the left of the origin (positive charge)
1. To solve this problem you can use the formula:
Force = mass × acceleration
16 = 5 × a
16/5 = a
3.2 m/sec^2 = acceleration
2. To solve this formula use the same formula that was given above:
F = ma
F= 1239 kg × 4m/sec
F = 4956 N
3. To solve this problem use the formula:
Weight = mass × gravity
W = 35 × 9.8
W = 343 N
4. To solve this problem use the formula:
Momentum = mass × velocity
M = 95 kg × 8 m/s
M = 760 kg × m/sec
hope this helps :)
Answer:
The focal length for given convex lens = 0.0714 m
Explanation:
Given data
Radius () = 12.5 cm
Radius () = 16.7 cm
Since the radius of curvature is positive so these are the convex lens.
Now focal length is given by
⇒ = +
⇒ Put the values of and in the above formula we get,
⇒ = +
⇒ = 0.13988
⇒ f =
⇒ f = 7.14 cm
⇒ f = 0.0714 m
Thus the focal length for given convex lens = 0.0714 m