Answer:
1) Given acceleration due to gravity as 10N/kg
N/kg is the same as m/s². From W=mg
making g subject ... you have g = W/m
where m is in kg and W is in N
hence we have N/kg
So g=10ms-²
Gravitational Potential Energy=mgh
At height 4m
PE=6 x 10 x 4
=240J.
At height 6m
PE=6 x 10 x 6
=360J.
2) KE=1/2mv²
=1/2 x 6 x 5² =75J
When the speed is doubled... it becomes 2x
so V = 2x5=10ms-¹
KE=1/2 x 6 x 10² =300J.
3) KE=1/2mv²
KE is given as 100J
mass=0.5kg
Making V the subject
you have v² =2KE/m
v²=2 x 100/0.5
v²=400
taking square root
v=20ms-¹.
Have a great day✌
Answer:
a)0.024
b)0.148
Explanation:
Let 's represent the set of deer ticks Carrying Lyme disease with L and the set of deer ticks carrying Human Granulocytic Ehrlichiosis with H
Given:
P(L) = 0.16
P(H) = 0.10
P(L n H) = 0.1 ·P( L u H )
Hence, P( L u H) = 10 ·P( L nH)
(a)
Hence. using the equation. P(L U H) = P(L) + P(H) - P(L n H)
Hence, 10 · P(L n H ) = 0.16 + 0.1 - P(L n H )
Hence, 11 · P(L n H) = 0.16 + 0.1 = 0.26
Hence, P(L n H) =
0.26/11=0.024
(b)
We know that condition probability P(H ║ L) = p(L n H)/P(L)
hence, P(H ║ L) =(0.26/11)/0.16 =0.148
A reference frame can be moving. To make sure that newtons laws still apply, the reference frame must not be accelerating.
pH is the measure of the concentration of hydrogen ions in a solution
Answer:
D. Newton's second law
Explanation:
Newton's second law of motion states that force of an object is a product of its mass and its acceleration.
Mathematically, F= ma where m is mass and a is acceleration
So from the statement above : The acceleration of an object is proportional to the force applied to it and inversely proportional to its mass , it can be seen from the formula variation as;
F= ma -----making a the subject of the formula
a= F/ m
a= 1/m * F --------- a is inversely related to m as you can see from 1/m but directly related to F hence;
Increase in mass with the same force applied causes the body to accelerate slower where as when force increases, the body accelerates faster.